www.entranceindia.com provides JEE Main 2015 model papers including all subjects such as Physics, Chemistry, Mathematics along with their Sample papers, Practice Test Series and Past exam papers in online as well as DVD mode. For more information about jee main 2015 please visit our site www.entranceindia.com
1. The document discusses electromagnetic concepts such as magnetic flux density, magnetic fields due to different current carrying conductors, and the torque experienced by a coil in a magnetic field.
2. Questions are provided about defining magnetic flux density, sketching magnetic field patterns, calculating torque on a coil, and ensuring the magnetic field is parallel to the coil plane.
3. Key concepts covered include magnetic fields, torque, magnetic flux density, and its SI unit of tesla.
Compilation of questions on electromagnetism (questions only + ans for mcq)John Jon
1. A velocity selector is used to obtain an electron beam with a kinetic energy of 250 eV. Electrons with higher kinetic energies will pass through plate X, while electrons with lower kinetic energies will be deflected by plate Y.
2. When a current passes through a vertical wire PQ, a compass placed next to it may point in any of the four directions shown in the diagrams.
3. A uniform magnetic field applied in the same direction as an electric field maintaining a negatively charged plastic sphere at a constant height will have no effect on the sphere.
This document contains 30 multiple choice questions about wave properties and behaviors. The questions cover a range of topics including:
- Characteristics of progressive and stationary waves
- Interference and superposition of waves
- Speed, frequency, wavelength and amplitude of waves
- Types of electromagnetic waves and their properties
- Reflection, refraction, and polarization of light
- Sound waves and resonance in pipes and tubes
The document presents a modified control method for a Doubly Fed Induction Generator (DFIG) wind turbine that improves stability of active and reactive power outputs during grid voltage unbalances. The modification uses hybrid PI-Fuzzy controllers for rotor side converter control along with a sequence component controller and notch filter to eliminate negative sequence grid voltage components. Simulation results show the modified control method with PI-Fuzzy controllers and sequence component control improves stability of the DFIG's active and reactive power outputs compared to the traditional stator flux oriented control during grid voltage unbalances.
Thorne & Derrick International service UK and international businesses involved in cable installations, cable jointing, substation, overhead line and electrical construction at LV, MV & HV in the wind energy and power sector.
We are suppliers and distributors for 3M Electrical, ABB, Alroc, AN Wallis, CATU, Cembre, Centriforce, CMP, CSD, Elastimold, Ellis Patents, Emtelle, Euromold, Filoform , Furse, Lucy Electric & Zodion, Nexans, Pfisterer, Polypipe, Prysmian, Ripley, Roxtec, Sicame, WT Henley.
Learn more about T&D, The MV HV Electrical Distributors.
https://www.powerandcables.com/
The differential phase shifter is an interesting four-port passive microwave network composed of two separate lines, the main line and the reference line, and providing stable phase difference between the two output signals over the specified bandwidth of interest. The most common differential phase shifter is the coupled-line Schiffman phase shifter. In this paper, a novel 90 degrees differential microstrip phase shifter configuration employing a half wavelength transmission line loaded with three open stubs is presented, the proposed design could achieve excellent performance with low phase variation over a wide bandwidth compared to the standard Schiffman phase shifter. The simulated results accomplished with the use of CST Microwave Studio and advanced design system (ADS), were found to be in good agreement and have shown that the proposed loaded-stub phase shifter achieved less than 1.1 dB insertion loss, greater than 13 dB return loss and constant 90±5 degrees phase shift over an 89 percent bandwidth.
The document discusses cables and arches, which carry loads and develop stresses. Cables experience mainly tensile stresses, while arches experience compressive stresses. The document analyzes cables subjected to concentrated and uniformly distributed loads. It describes determining cable tensions, sags, and total length for a cable with concentrated loads. For uniformly distributed loads, the document derives the parabolic equation that describes the cable profile. It also discusses additional considerations for cable-supported structures like wind forces and ensuring stability.
The effect of ripple steering on control loop stability for ac cm pfc boost c...Murray Edington
This document discusses the effect of ripple steering on control loop stability for continuous conduction mode (CCM) power factor correction (PFC) boost converters. It presents an average switch model approach to modeling the power stage, feedback compensation, and dynamics. Transfer functions are derived for a conventional boost converter and then a PFC boost converter with coupled magnetic filter. Experimental and simulation results from a 1.8 kW prototype verify the analytical work and model's ability to predict steady-state and dynamic behavior of CCM PFC boost converters with coupled magnetic filters. Ripple steering is shown to improve EMI filtering and reduce component sizes while allowing similar control strategies to conventional boost converters.
1. The document discusses electromagnetic concepts such as magnetic flux density, magnetic fields due to different current carrying conductors, and the torque experienced by a coil in a magnetic field.
2. Questions are provided about defining magnetic flux density, sketching magnetic field patterns, calculating torque on a coil, and ensuring the magnetic field is parallel to the coil plane.
3. Key concepts covered include magnetic fields, torque, magnetic flux density, and its SI unit of tesla.
Compilation of questions on electromagnetism (questions only + ans for mcq)John Jon
1. A velocity selector is used to obtain an electron beam with a kinetic energy of 250 eV. Electrons with higher kinetic energies will pass through plate X, while electrons with lower kinetic energies will be deflected by plate Y.
2. When a current passes through a vertical wire PQ, a compass placed next to it may point in any of the four directions shown in the diagrams.
3. A uniform magnetic field applied in the same direction as an electric field maintaining a negatively charged plastic sphere at a constant height will have no effect on the sphere.
This document contains 30 multiple choice questions about wave properties and behaviors. The questions cover a range of topics including:
- Characteristics of progressive and stationary waves
- Interference and superposition of waves
- Speed, frequency, wavelength and amplitude of waves
- Types of electromagnetic waves and their properties
- Reflection, refraction, and polarization of light
- Sound waves and resonance in pipes and tubes
The document presents a modified control method for a Doubly Fed Induction Generator (DFIG) wind turbine that improves stability of active and reactive power outputs during grid voltage unbalances. The modification uses hybrid PI-Fuzzy controllers for rotor side converter control along with a sequence component controller and notch filter to eliminate negative sequence grid voltage components. Simulation results show the modified control method with PI-Fuzzy controllers and sequence component control improves stability of the DFIG's active and reactive power outputs compared to the traditional stator flux oriented control during grid voltage unbalances.
Thorne & Derrick International service UK and international businesses involved in cable installations, cable jointing, substation, overhead line and electrical construction at LV, MV & HV in the wind energy and power sector.
We are suppliers and distributors for 3M Electrical, ABB, Alroc, AN Wallis, CATU, Cembre, Centriforce, CMP, CSD, Elastimold, Ellis Patents, Emtelle, Euromold, Filoform , Furse, Lucy Electric & Zodion, Nexans, Pfisterer, Polypipe, Prysmian, Ripley, Roxtec, Sicame, WT Henley.
Learn more about T&D, The MV HV Electrical Distributors.
https://www.powerandcables.com/
The differential phase shifter is an interesting four-port passive microwave network composed of two separate lines, the main line and the reference line, and providing stable phase difference between the two output signals over the specified bandwidth of interest. The most common differential phase shifter is the coupled-line Schiffman phase shifter. In this paper, a novel 90 degrees differential microstrip phase shifter configuration employing a half wavelength transmission line loaded with three open stubs is presented, the proposed design could achieve excellent performance with low phase variation over a wide bandwidth compared to the standard Schiffman phase shifter. The simulated results accomplished with the use of CST Microwave Studio and advanced design system (ADS), were found to be in good agreement and have shown that the proposed loaded-stub phase shifter achieved less than 1.1 dB insertion loss, greater than 13 dB return loss and constant 90±5 degrees phase shift over an 89 percent bandwidth.
The document discusses cables and arches, which carry loads and develop stresses. Cables experience mainly tensile stresses, while arches experience compressive stresses. The document analyzes cables subjected to concentrated and uniformly distributed loads. It describes determining cable tensions, sags, and total length for a cable with concentrated loads. For uniformly distributed loads, the document derives the parabolic equation that describes the cable profile. It also discusses additional considerations for cable-supported structures like wind forces and ensuring stability.
The effect of ripple steering on control loop stability for ac cm pfc boost c...Murray Edington
This document discusses the effect of ripple steering on control loop stability for continuous conduction mode (CCM) power factor correction (PFC) boost converters. It presents an average switch model approach to modeling the power stage, feedback compensation, and dynamics. Transfer functions are derived for a conventional boost converter and then a PFC boost converter with coupled magnetic filter. Experimental and simulation results from a 1.8 kW prototype verify the analytical work and model's ability to predict steady-state and dynamic behavior of CCM PFC boost converters with coupled magnetic filters. Ripple steering is shown to improve EMI filtering and reduce component sizes while allowing similar control strategies to conventional boost converters.
Electrical engineering objective type questionsDebasis Paul
This document contains a list of objective type questions prepared by Mr. V. Arivumani for the Electrical Engineering department at Government College of Engineering, Bargur. It includes 875 questions organized under various topics related to electrical machines like DC generators, DC motors, transformers, induction motors, synchronous motors, transmission and distribution, and cables. The questions cover concepts related to these topics and are multiple choice questions with one correct answer option. An example question is provided to illustrate the question format.
COMPACT DUAL-BAND BANDPASS FILTER BASED ON STUB-LOADED RECTANGULAR LOOP STEPP...ijeljournal
This work presents a compact dual-band bandpass filter (BPF) based on stub-loaded rectangular loop
stepped impedance resonator (SLRLSIR). The proposed SLRLSIR consists of two outer open-circuited and
two inner open-circuited stubs, which are designed to the central sides of the rectangular loop resonator.
Owing to its symmetry, even-and odd-mode analysis methods are applied to deduce the equivalent-circuit
equations and to justify the structural design. The second passband can be easily tuned by changing the two
inner open-circuited stubs when the first passband is fixed at a desirable frequency. The upper stopband is
improved by a pair of additional open-circuited stubs stepped impedance resonators at the I/O ports.
Transmission zeros are generated between passbands and stopbands. A SLRLSIR prototype dual-band BPF
with central frequencies of 2.42/4 GHz is fabricated and systematically studied. The measurement results
agreed well with the simulation results.
This document outlines the design procedure for a two-stage operational amplifier (op amp) using CMOS technology. It begins by listing the steps in designing any op amp and the design inputs and outputs. It then provides more details on the specific design procedure for a two-stage CMOS op amp, including determining the bias currents, transistor sizes, and compensation components to meet specifications for gain, bandwidth, output swing, power dissipation, and other parameters. The document concludes with a numerical example showing the step-by-step calculations to design a two-stage op amp to given specifications.
Compact Dual-Band Bandpass Filter Based on Stub-Loaded Rectangular Loop Stepp...ijeljournal
This work presents a compact dual-band bandpass filter (BPF) based on stub-loaded rectangular loop stepped impedance resonator (SLRLSIR). The proposed SLRLSIR consists of two outer open-circuited and two inner open-circuited stubs, which are designed to the central sides of the rectangular loop resonator. Owing to its symmetry, even-and odd-mode analysis methods are applied to deduce the equivalent-circuit
equations and to justify the structural design. The second passband can be easily tuned by changing the two
inner open-circuited stubs when the first passband is fixed at a desirable frequency. The upper stopband is
improved by a pair of additional open-circuited stubs stepped impedance resonators at the I/O ports. Transmission zeros are generated between passbands and stopbands. A SLRLSIR prototype dual-band BPF with central frequencies of 2.42/4 GHz is fabricated and systematically studied. The measurement results agreed well with the simulation results.
Compact dual band bandpass filter based on stub loaded rectangular loop stepp...ijeljournal
This document summarizes a research paper that presents a compact dual-band bandpass filter design based on a stub-loaded rectangular loop stepped impedance resonator (SLRLSIR). The proposed SLRLSIR consists of two outer and two inner open-circuited stubs attached to the sides of a rectangular loop resonator. Even- and odd-mode analysis is used to derive equivalent circuit models and design equations. Tuning the inner stubs can adjust the second passband frequency while keeping the first passband fixed. Additional open-circuited stubs at the input/output ports improve the upper stopband. A prototype dual-band filter with center frequencies of 2.42 GHz and 4 GHz is fabricated and measured,
This presentation discusses an anomaly encountered during the Cartosat-2C Earth observation satellite program. Testing revealed that switching noise from one of the satellite's solar array strings was coupling onto signal lines and preventing commands from being executed properly. Analysis showed the noise coupling was due to a long wire harness routing both strings in close proximity. To address this, the harness routing was modified to reduce the shared wire length from 8.2m to 4.2m, eliminating the noise coupling issue. The satellite was then successfully launched with on-orbit performance meeting specifications.
A direct torque control using a classical switching- table ST-DTC can be used to control the torque and thus the speed of Dual Three-Phase Permanent Magnet Synchronous Motor (DTP-PMSM). The principle is based on direct application of control sequence by using two hysteresis regulators and a switching table. A large stator current containing low order harmonics is produced during the application of the classic ST-DTC technique, this leads to higher losses affecting the efficiency of the machine. To allow a reduction of these harmonics a modified switching-table approach based DTC technique is examined. Indeed, an improved ST-DTC strategy, which consist of replacing the vectors of the classical table with synthetic vectors, is discussed. The simulation results confirm the validity of the selected strategy.
Consists of two sets of windings:
3 phase armature winding on the stator distributed with centres 120° apart in space
field winding on the rotor supplied by DC
Two basic rotor structures used:
salient or projecting pole structure for hydraulic units (low speed)
round rotor structure for thermal units (high speed)
Salient poles have concentrated field windings; usually also carry damper windings on the pole face.Round rotors have solid steel rotors with distributed windings
Nearly sinusoidal space distribution of flux wave shape obtained by:
distributing stator windings and field windings in many slots (round rotor);
shaping pole faces (salient pole)
An operational amplifier with recycling folded cascode topology and adaptive ...VLSICS Design
This paper presents a highly adaptive operational amplifier with high gain, high bandwidth, high speed
and low power consumption. By adopting the recycling folded cascode topology along with an adaptivebiasing
circuit, this design achieves high performance in terms of gain-bandwidth product (GBW) and slew
rate (SR). This single stage op-amp has been designed in 0.18μm technology with a power supply of 1.8V
and a 5pF load. The simulation results show that the amplifier achieved a GBW of 335.5MHz, Unity Gain
Bandwidth of 247.1MHz and a slew rate of 92.8V/μs.
This document describes several alternative dual-bridge matrix converter topologies that have a reduced number of switches compared to a conventional matrix converter. It discusses how the dual-bridge topology avoids commutation problems of the conventional design. It then introduces several dual-bridge topologies with fewer switches, including 18-, 15-, 12-, and 9-switch variations. It analyzes the characteristics and operation of these topologies, and presents simulation and experimental results for the 9-switch design to validate its feasibility.
PSO and SMC based Closed Loop V/F Control of AC Drive using SVPWMIRJET Journal
This document proposes a particle swarm optimization and sliding mode control scheme for V/F control of an induction motor drive. Space vector pulse width modulation is used to control the motor voltage and frequency, reducing total harmonic distortion. Particle swarm optimization is used as the main controller, while sliding mode control provides stability without requiring precise system knowledge. Simulation results in MATLAB validate the effectiveness of the proposed control system in controlling motor speed, current, and torque.
The International Journal of Engineering & Science is aimed at providing a platform for researchers, engineers, scientists, or educators to publish their original research results, to exchange new ideas, to disseminate information in innovative designs, engineering experiences and technological skills. It is also the Journal's objective to promote engineering and technology education. All papers submitted to the Journal will be blind peer-reviewed. Only original articles will be published.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
1) The document contains past year questions from GATE exams on the topic of Engineering Mechanics. It includes 30 multiple choice questions ranging from one to two marks.
2) The questions cover various concepts in mechanics including forces, moments, equilibrium, kinematics, collisions, friction etc. They involve calculations of tensions, velocities, accelerations, energies and powers for different mechanical systems.
3) Sample questions calculate reaction forces in trusses, velocities for particles and objects in motion, minimum forces required to move blocks etc. Diagrams are provided with the questions to illustrate the mechanical systems.
This document contains a sample test for the JEE (Main) 2015 exam. It includes 42 multiple choice questions across various subjects like physics, chemistry, and mathematics. The questions cover topics such as capacitors, radioactive decay, organic reactions, thermodynamics, coordination compounds, and molecular orbitals.
J2 Physics 2008 prelim electromagnetic induction (questions + ans for mcq)John Jon
The document contains 26 multiple choice questions about electromagnetic induction. The questions cover topics such as induced emf in coils, Lenz's law, and factors that affect induced current. They provide examples of coils and circuits experiencing changing magnetic fields from magnets and electric currents. The document tests understanding of fundamental concepts in electromagnetic induction.
The document contains 26 multiple choice questions about electromagnetic induction. The questions cover topics such as induced emf in coils, Lenz's law, and how changing magnetic flux induces currents. They provide examples of coils and conductors moving through magnetic fields to illustrate how induced currents are generated through electromagnetic induction.
This document contains conceptual problems and their solutions related to alternating current circuits. It discusses key concepts like how changing the frequency of an AC circuit affects different circuit components. For example, it explains that while the inductance of an inductor remains the same with changing frequency, the inductive reactance is frequency dependent. It also provides examples of calculating current, power, reactance, and oscillation periods in various AC circuits containing resistors, capacitors and inductors. The problems cover a range of concepts involving driven and undriven circuits.
The document contains a marking scheme for a physics theory exam with multiple choice and other types of questions. Some key points:
- Question 1 contains multiple choice (part a), fill in the blank (part b), matching (part c), correcting statements (part d), and long answer questions (part e) on topics like electric fields, simple harmonic motion, capacitors, lenses and more.
- Question 2 asks about electric shock from capacitors, defining solar irradiation, and calculating current in an AC circuit with a capacitor and resistor.
- Question 3 asks about viscosity and honey, and positions of maximum/minimum velocity and acceleration for a pendulum in SHM.
Application of Variable Inductors in a DC/DC Converter to Increase the Operat...theijes
This document summarizes a research paper that proposes using variable inductors in a Cuk DC/DC converter to increase the operating range of a maximum power point tracker (MPPT) at low solar irradiation levels. The variable inductors allow the inductance to decrease at higher currents, reducing component size and cost while maintaining continuous conduction mode over a wider load range. This extends the operating range of the MPPT controller to recover more solar energy during periods of low light or partial shading. Computer simulations using PSCAD/EMTDC validated the effectiveness of the proposed converter design with variable inductance.
Electrical engineering objective type questionsDebasis Paul
This document contains a list of objective type questions prepared by Mr. V. Arivumani for the Electrical Engineering department at Government College of Engineering, Bargur. It includes 875 questions organized under various topics related to electrical machines like DC generators, DC motors, transformers, induction motors, synchronous motors, transmission and distribution, and cables. The questions cover concepts related to these topics and are multiple choice questions with one correct answer option. An example question is provided to illustrate the question format.
COMPACT DUAL-BAND BANDPASS FILTER BASED ON STUB-LOADED RECTANGULAR LOOP STEPP...ijeljournal
This work presents a compact dual-band bandpass filter (BPF) based on stub-loaded rectangular loop
stepped impedance resonator (SLRLSIR). The proposed SLRLSIR consists of two outer open-circuited and
two inner open-circuited stubs, which are designed to the central sides of the rectangular loop resonator.
Owing to its symmetry, even-and odd-mode analysis methods are applied to deduce the equivalent-circuit
equations and to justify the structural design. The second passband can be easily tuned by changing the two
inner open-circuited stubs when the first passband is fixed at a desirable frequency. The upper stopband is
improved by a pair of additional open-circuited stubs stepped impedance resonators at the I/O ports.
Transmission zeros are generated between passbands and stopbands. A SLRLSIR prototype dual-band BPF
with central frequencies of 2.42/4 GHz is fabricated and systematically studied. The measurement results
agreed well with the simulation results.
This document outlines the design procedure for a two-stage operational amplifier (op amp) using CMOS technology. It begins by listing the steps in designing any op amp and the design inputs and outputs. It then provides more details on the specific design procedure for a two-stage CMOS op amp, including determining the bias currents, transistor sizes, and compensation components to meet specifications for gain, bandwidth, output swing, power dissipation, and other parameters. The document concludes with a numerical example showing the step-by-step calculations to design a two-stage op amp to given specifications.
Compact Dual-Band Bandpass Filter Based on Stub-Loaded Rectangular Loop Stepp...ijeljournal
This work presents a compact dual-band bandpass filter (BPF) based on stub-loaded rectangular loop stepped impedance resonator (SLRLSIR). The proposed SLRLSIR consists of two outer open-circuited and two inner open-circuited stubs, which are designed to the central sides of the rectangular loop resonator. Owing to its symmetry, even-and odd-mode analysis methods are applied to deduce the equivalent-circuit
equations and to justify the structural design. The second passband can be easily tuned by changing the two
inner open-circuited stubs when the first passband is fixed at a desirable frequency. The upper stopband is
improved by a pair of additional open-circuited stubs stepped impedance resonators at the I/O ports. Transmission zeros are generated between passbands and stopbands. A SLRLSIR prototype dual-band BPF with central frequencies of 2.42/4 GHz is fabricated and systematically studied. The measurement results agreed well with the simulation results.
Compact dual band bandpass filter based on stub loaded rectangular loop stepp...ijeljournal
This document summarizes a research paper that presents a compact dual-band bandpass filter design based on a stub-loaded rectangular loop stepped impedance resonator (SLRLSIR). The proposed SLRLSIR consists of two outer and two inner open-circuited stubs attached to the sides of a rectangular loop resonator. Even- and odd-mode analysis is used to derive equivalent circuit models and design equations. Tuning the inner stubs can adjust the second passband frequency while keeping the first passband fixed. Additional open-circuited stubs at the input/output ports improve the upper stopband. A prototype dual-band filter with center frequencies of 2.42 GHz and 4 GHz is fabricated and measured,
This presentation discusses an anomaly encountered during the Cartosat-2C Earth observation satellite program. Testing revealed that switching noise from one of the satellite's solar array strings was coupling onto signal lines and preventing commands from being executed properly. Analysis showed the noise coupling was due to a long wire harness routing both strings in close proximity. To address this, the harness routing was modified to reduce the shared wire length from 8.2m to 4.2m, eliminating the noise coupling issue. The satellite was then successfully launched with on-orbit performance meeting specifications.
A direct torque control using a classical switching- table ST-DTC can be used to control the torque and thus the speed of Dual Three-Phase Permanent Magnet Synchronous Motor (DTP-PMSM). The principle is based on direct application of control sequence by using two hysteresis regulators and a switching table. A large stator current containing low order harmonics is produced during the application of the classic ST-DTC technique, this leads to higher losses affecting the efficiency of the machine. To allow a reduction of these harmonics a modified switching-table approach based DTC technique is examined. Indeed, an improved ST-DTC strategy, which consist of replacing the vectors of the classical table with synthetic vectors, is discussed. The simulation results confirm the validity of the selected strategy.
Consists of two sets of windings:
3 phase armature winding on the stator distributed with centres 120° apart in space
field winding on the rotor supplied by DC
Two basic rotor structures used:
salient or projecting pole structure for hydraulic units (low speed)
round rotor structure for thermal units (high speed)
Salient poles have concentrated field windings; usually also carry damper windings on the pole face.Round rotors have solid steel rotors with distributed windings
Nearly sinusoidal space distribution of flux wave shape obtained by:
distributing stator windings and field windings in many slots (round rotor);
shaping pole faces (salient pole)
An operational amplifier with recycling folded cascode topology and adaptive ...VLSICS Design
This paper presents a highly adaptive operational amplifier with high gain, high bandwidth, high speed
and low power consumption. By adopting the recycling folded cascode topology along with an adaptivebiasing
circuit, this design achieves high performance in terms of gain-bandwidth product (GBW) and slew
rate (SR). This single stage op-amp has been designed in 0.18μm technology with a power supply of 1.8V
and a 5pF load. The simulation results show that the amplifier achieved a GBW of 335.5MHz, Unity Gain
Bandwidth of 247.1MHz and a slew rate of 92.8V/μs.
This document describes several alternative dual-bridge matrix converter topologies that have a reduced number of switches compared to a conventional matrix converter. It discusses how the dual-bridge topology avoids commutation problems of the conventional design. It then introduces several dual-bridge topologies with fewer switches, including 18-, 15-, 12-, and 9-switch variations. It analyzes the characteristics and operation of these topologies, and presents simulation and experimental results for the 9-switch design to validate its feasibility.
PSO and SMC based Closed Loop V/F Control of AC Drive using SVPWMIRJET Journal
This document proposes a particle swarm optimization and sliding mode control scheme for V/F control of an induction motor drive. Space vector pulse width modulation is used to control the motor voltage and frequency, reducing total harmonic distortion. Particle swarm optimization is used as the main controller, while sliding mode control provides stability without requiring precise system knowledge. Simulation results in MATLAB validate the effectiveness of the proposed control system in controlling motor speed, current, and torque.
The International Journal of Engineering & Science is aimed at providing a platform for researchers, engineers, scientists, or educators to publish their original research results, to exchange new ideas, to disseminate information in innovative designs, engineering experiences and technological skills. It is also the Journal's objective to promote engineering and technology education. All papers submitted to the Journal will be blind peer-reviewed. Only original articles will be published.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
1) The document contains past year questions from GATE exams on the topic of Engineering Mechanics. It includes 30 multiple choice questions ranging from one to two marks.
2) The questions cover various concepts in mechanics including forces, moments, equilibrium, kinematics, collisions, friction etc. They involve calculations of tensions, velocities, accelerations, energies and powers for different mechanical systems.
3) Sample questions calculate reaction forces in trusses, velocities for particles and objects in motion, minimum forces required to move blocks etc. Diagrams are provided with the questions to illustrate the mechanical systems.
This document contains a sample test for the JEE (Main) 2015 exam. It includes 42 multiple choice questions across various subjects like physics, chemistry, and mathematics. The questions cover topics such as capacitors, radioactive decay, organic reactions, thermodynamics, coordination compounds, and molecular orbitals.
J2 Physics 2008 prelim electromagnetic induction (questions + ans for mcq)John Jon
The document contains 26 multiple choice questions about electromagnetic induction. The questions cover topics such as induced emf in coils, Lenz's law, and factors that affect induced current. They provide examples of coils and circuits experiencing changing magnetic fields from magnets and electric currents. The document tests understanding of fundamental concepts in electromagnetic induction.
The document contains 26 multiple choice questions about electromagnetic induction. The questions cover topics such as induced emf in coils, Lenz's law, and how changing magnetic flux induces currents. They provide examples of coils and conductors moving through magnetic fields to illustrate how induced currents are generated through electromagnetic induction.
This document contains conceptual problems and their solutions related to alternating current circuits. It discusses key concepts like how changing the frequency of an AC circuit affects different circuit components. For example, it explains that while the inductance of an inductor remains the same with changing frequency, the inductive reactance is frequency dependent. It also provides examples of calculating current, power, reactance, and oscillation periods in various AC circuits containing resistors, capacitors and inductors. The problems cover a range of concepts involving driven and undriven circuits.
The document contains a marking scheme for a physics theory exam with multiple choice and other types of questions. Some key points:
- Question 1 contains multiple choice (part a), fill in the blank (part b), matching (part c), correcting statements (part d), and long answer questions (part e) on topics like electric fields, simple harmonic motion, capacitors, lenses and more.
- Question 2 asks about electric shock from capacitors, defining solar irradiation, and calculating current in an AC circuit with a capacitor and resistor.
- Question 3 asks about viscosity and honey, and positions of maximum/minimum velocity and acceleration for a pendulum in SHM.
Application of Variable Inductors in a DC/DC Converter to Increase the Operat...theijes
This document summarizes a research paper that proposes using variable inductors in a Cuk DC/DC converter to increase the operating range of a maximum power point tracker (MPPT) at low solar irradiation levels. The variable inductors allow the inductance to decrease at higher currents, reducing component size and cost while maintaining continuous conduction mode over a wider load range. This extends the operating range of the MPPT controller to recover more solar energy during periods of low light or partial shading. Computer simulations using PSCAD/EMTDC validated the effectiveness of the proposed converter design with variable inductance.
This document contains a 3-part exam on high voltage engineering. Part 1 contains 3 questions, the first on measuring HVAC peak value and performing an accelerated aging test on a bushing. The second concerns generating HVDC using a Greinacher cascade circuit and a basic rectifier circuit. The third addresses impulse voltage generation and designing a 5-stage Marx generator. Part 2 includes questions on earthing systems, surge arrestors, and analyzing an RLC circuit with DC supply. Part 3 concerns calculating flash protection boundaries for a busbar with short circuit current. The exam tests knowledge of high voltage concepts and applications.
This document contains a 3-part exam on high voltage engineering. Part 1 contains 3 questions, the first on measuring HVAC peak value and performing an accelerated aging test on a bushing. The second concerns generating HVDC using a Greinacher cascade circuit and a basic rectifier circuit. The third addresses impulse voltage generation and designing a 5-stage Marx generator. Part 2 contains 3 questions, two on RC and RLC circuits applied to DC sources, and one on flash protection boundaries for live busbars. Part 3 requests calculations regarding voltage regulation, ripple, and output of a Cockcroft-Walton circuit, as well as the design of a DC voltage doubling circuit.
The document discusses drag reduction for vehicles and other moving bodies through streamlining of the body. It provides examples of how rounding off sharp edges and points on objects moving through a fluid can significantly reduce drag. Graphs and calculations are shown relating drag coefficients to the shape of different 2D cross-sections exposed to fluid flow, such as a circular cylinder versus a square cylinder.
IRJET- Design and Implementation of Isolated Multi-Output Flyback ConverterIRJET Journal
This document describes the design and implementation of an isolated multi-output flyback converter. A flyback converter uses a single switch and transformer to provide isolated output voltages from an input source. The designed converter uses a toroidal transformer with multiple secondary windings to generate multiple isolated output voltages at fixed levels. Simulation results and specifications for the transformer, switch, and outputs are provided. The flyback converter provides an efficient and low-cost solution for applications requiring multiple isolated low-power DC outputs.
International Journal of Engineering Research and Development (IJERD)IJERD Editor
International Journal of Engineering Research and Development is an international premier peer reviewed open access engineering and technology journal promoting the discovery, innovation, advancement and dissemination of basic and transitional knowledge in engineering, technology and related disciplines.
This paper presents a new single switched inductor-capacitor coupled transformer-less high gain DC-DC converter which can be used in renewable energy sources like PV, fuelcell in which the low DC output voltage is to be converted into high dc output voltage. With the varying low input voltages, the output of DC-DC converter remains same and does not change. A state space model of the converter is also presented in the paper. This constant output voltage is obtained by close loop control of converter using PID controller. High voltage gain of 10 is obtained without use of transformer. All the simulations are done in MATLAB-SIMULINK environment.
November 21, 20131How a Diode WorksA diode is an electrica.docxhenrymartin15260
November 21, 2013
1
How a Diode Works
A diode is an electrical device allowing current to flow through in only one direction. The term “diode” is used if I ≤ 1 A. If I>1A, we use the term “rectifier,” although both terms are commonly considered interchangeable.
November 21, 2013
2
Theoretical Analysis of the Rectifier Circuit
Given the circuit below, R1=1.0 kΩ. Sketch theoretical waveforms for the input (CH-1) signal and the output (CH-2) signal when a 10 VPP 1.0 kHz sine wave is applied to the circuit. Predict the result.
November 21, 2013
3
Theoretical Analysis of the Rectifier Circuit- What should we observe (frequency? Amplitude?)
CH-1 (input signal):
(>>t=0:0.00001:6/2000; y=5*sin(2*pi*1000*t); plot(t,y), grid on)
What should be the output signal???
November 21, 2013
4
Simulation of the Rectifier Circuit – Record the Result
Adjust the settings
of the function generator
Accordingly
November 21, 2013
5
Construct the Rectifier Circuit – Record the Result
Compare the theoretical, simulation, and hardware circuit results and make your comments
November 21, 2013
6
Construct the Rectifier Circuit – the O-Scope Display
Hardware circuit oscilloscope display
November 21, 2013
7
Theoretical Analysis of the Filtered Rectifier Circuit
Given the circuit below, R1=1.0 kΩ, C1=10 uF. Sketch theoretical waveforms for the input (CH-1) signal and the output (CH-2) signal when a 10 VPP 1.0 kHz sine wave is applied to the circuit. Predict the result.
November 21, 2013
8
Theoretical Analysis of the Filtered Rectifier Circuit – Output Signal
Given input signal below, what should we observe at the output?
The diode is to change the AC to DC signal
The capacitor is to “smoothen” the DC signal
November 21, 2013
9
Simulation of the Filtered Rectifier Circuit – Record the Result
Adjust the settings
of the function generator
Accordingly
November 21, 2013
10
Construct the Filtered Rectifier Circuit – Record the Result
Compare the theoretical, simulation, and hardware circuit results and make your comments
November 21, 2013
11
Construct the Filtered Rectifier Circuit – O-Scope Display
Hardware circuit oscilloscope display (notice scale change for Channel 2 for better viewing of the output signal)
November 21, 2013
12
Voltage Regulation using Zener Diode – The Circuit
November 21, 2013
13
How a Zener Diode Works
Zener diodes are special diodes which work reverse-biased at breakdown - specific voltage (“Zener voltage”). They are designed to work continuously at that specific voltage - anywhere from 1.8 to 200 V.
November 21, 2013
14
How a Zener Diode Works – The Circuit Example
For the circuit below, the voltage across the Zener diode will be maintained at 10V.
November 21, 2013
15
Voltage Regulation using Zener Diode – MultiSim Simulation (Change Scale on Channel B to view signal more clearly)
Adjust the settings
of the function generator
Accordingly
November 21, 2013
16
Voltage Regulation using the Voltage.
Design, Simulation and Implementation of Flyback based, True Single Stage, Is...IJMER
International Journal of Modern Engineering Research (IJMER) is Peer reviewed, online Journal. It serves as an international archival forum of scholarly research related to engineering and science education.
Electrical Power Systems 3 phase apparatusMubarek Kurt
This document discusses 3-phase power apparatus and provides information on various electrical machine concepts including:
- The basic concept of magnetic fields and flux in electrical machines
- The rotating components and applications of rotating machines like generators, motors, and alternators
- The structures and operating principles of different types of AC and DC machines including synchronous and induction machines
It also covers topics like induced voltages and torque in electrical machines, power flows and losses, efficiency, voltage regulation, and speed regulation.
This document contains 40 multiple choice questions from previous GATE exams on the topic of electrical circuits and fields. The questions cover concepts such as circuit analysis, network theorems, capacitors, inductors, RLC circuits, and more. Sample questions test the calculation of current, voltage, power, impedance, and time constants in different circuit configurations.
This document contains 30 multiple choice questions from a GATE EE exam, along with explanations for the answers. It discusses topics related to electrical engineering, including circuits, electromagnetism, power systems, and electrical machines. The questions range from basic circuit analysis and energy calculations to more complex topics involving synchronous generators, induction motors, and HVDC transmission systems. The document is intended as a practice resource for the GATE EE exam.
Improved High Gain Dc-Dc Converter with Reduced NoiseIRJET Journal
This document describes an improved high-efficiency DC-DC converter for low-voltage photovoltaic energy sources. The proposed converter uses a dual active clamping circuit and resonant voltage doubler rectifier to achieve high voltage gain and reduce voltage stress on the switches. Simulation results show the converter can achieve 98% efficiency when converting a 41V input to a 330W, 409V output. Key advantages of the proposed converter include reduced switching losses through zero-current switching of the output diodes and lower voltage stress on the switches compared to previous converter designs.
The document discusses the design considerations for a synchronous generator with a round rotor. It covers topics such as:
- The maximum allowable rotor peripheral speed is typically 250 m/s for modern steel alloys.
- Formulas are provided for calculating copper resistivity based on temperature, as well as the number of turns and conductor size for the generator armature winding.
- Other factors discussed include the number of armature slots based on the number of phases, length/diameter ratio, air gap size selection, and rotor slot design considerations such as the number of poles and slots.
Similar to Jee main 2015 model paper by entranceindia (20)
Manipal Academy of Higher Education, branded as Manipal University is a deemed university located in Manipal, Karnataka, India. MU OET 2015 Medical Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Biology
www.entranceindia.com provides model papers for MU OET entrance examinations. For more information please visit our site (www.entranceindia.com) today.
Manipal Academy of Higher Education, branded as Manipal University is a deemed university located in Manipal, Karnataka, India. MU OET 2015 Medical Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Biology
www.entranceindia.com provides model papers for MU OET entrance examinations. For more information please visit our site (www.entranceindia.com) today.
Manipal Academy of Higher Education, branded as Manipal University is a deemed university located in Manipal, Karnataka, India. MU OET 2015 Engineering Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Biology
www.entranceindia.com provides model papers for MU OET entrance examinations. For more information please visit our site (www.entranceindia.com) today.
Manipal Academy of Higher Education, branded as Manipal University is a deemed university located in Manipal, Karnataka, India. MU OET 2015 Engineering Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Biology
www.entranceindia.com provides model papers for MU OET entrance examinations. For more information please visit our site (www.entranceindia.com) today.
MH CET 2015 Medical Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Biology
www.entranceindia.com provides model papers for MH CET medical entrance examinations. For more information please visit our site (www.entranceindia.com) today.
MH CET 2015 Medical Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Biology
www.entranceindia.com provides model papers for MH CET medical entrance examinations. For more information please visit our site (www.entranceindia.com) today.
The All India Institutes of Medical Sciences are a group of autonomous public medical colleges of higher education. AIIMS 2015 is going to be conducted during June 2015. The Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Biology
www.entranceindia.com provides model papers for AIIMS medical entrance examinations. For more information please visit our site (www.entranceindia.com) today.
The All India Institutes of Medical Sciences are a group of autonomous public medical colleges of higher education. AIIMS 2015 is going to be conducted during June 2015. The Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Biology
www.entranceindia.com provides model papers for AIIMS medical entrance examinations. For more information please visit our site (www.entranceindia.com) today.
Engineering, Agriculture and Medical Common Entrance Test (EAMCET) is conducted by Jawaharlal Nehru Technological University Hyderabad on behalf of APSCHE. This examination is the prerequisite for admission into various professional courses offered in University/ Private Colleges in the state of Andhra Pradesh.
EAMCET 2015 is going to be conducted during May 2015 The Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Biology
www.entranceindia.com provides model papers for EAMCET medical and engineering entrance examinations. For more information please visit our site (www.entranceindia.com) today.
The document provides information about the EAMCET 2015 exam syllabus for Physics, Chemistry, and Medical subjects. It outlines the topics covered in each subject, exam pattern details such as duration, number and type of questions, and marking scheme. The Physics syllabus covers 30 topics ranging from physical world to communication systems. The Chemistry syllabus covers atomic structure, classification of elements and periodicity in properties. The Medical exam will be of 3 hours duration testing knowledge of Biology, Physics and Chemistry subjects.
Engineering, Agriculture and Medical Common Entrance Test (EAMCET) is conducted by Jawaharlal Nehru Technological University Hyderabad on behalf of APSCHE. This examination is the prerequisite for admission into various professional courses offered in University/ Private Colleges in the state of Andhra Pradesh.
EAMCET 2015 is going to be conducted during May 2015 The Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Mathematics
www.entranceindia.com provides model papers for EAMCET medical and engineering entrance examinations. For more information please visit our site (www.entranceindia.com) today.
Engineering, Agriculture and Medical Common Entrance Test (EAMCET) is conducted by Jawaharlal Nehru Technological University Hyderabad on behalf of APSCHE. This examination is the prerequisite for admission into various professional courses offered in University/ Private Colleges in the state of Andhra Pradesh.
EAMCET 2015 is going to be conducted during May 2015 The Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Mathematics
www.entranceindia.com provides model papers for EAMCET medical and engineering entrance examinations. For more information please visit our site (www.entranceindia.com) today.
AMRITA 2015 is going to be conducted during April 2015 to take admission into AMRITA University. Amrita Vishwa Vidyapeetham or Amrita University is a multi-campus, multi-disciplinary research university in India. The University is accredited 'A' by NAAC and is ranked as one of the best research universities in India. The Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Mathematics
www.entranceindia.com provides model papers for AMRITA medical and engineering entrance examinations. For more information please visit our site (www.entranceindia.com) today.
JIPMER 2015 is going to be conducted during May 2015 to take admission into JIPMER, Puduchery. The Syllabus is based on 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Biology
www.entranceindia.com provides model papers for JIPMER and other medical and engineering entrance examinations in India. For more information please visit our site (www.entranceindia.com) today.
VITEEE 2015 is the entrance exam conducted by Vellore Institute of Technology for admissions to undergraduate programs. The exam consists of 3 parts - Physics, Chemistry, and Mathematics or Biology. Each part contains 40 multiple choice questions carrying 1 mark each. The total duration of the computer-based exam is 2 hours and 30 minutes. The syllabus for each subject is provided in detail, covering topics typically included in class 11 and 12 board exam syllabi. Candidates must have secured an aggregate of 60% in Physics, Chemistry and Maths/Biology in their qualifying exam to appear for VITEEE 2015.
VITEEE 2015 is going to be conducted by CBSE during April 2015 to take admission into various Universities and Institutions. The Syllabus is based on CBSE 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Mathematics
www.entranceindia.com provides model papers for VITEEE and other medical and engineering entrance examinations in India. Our model papers are proved to be best where students could discover 12 questions matching in JEE Main 2014 examination. For more information please visit us today.
JEE Advanced 2015 is going to be conducted by CBSE during May 2015 to take admission into IITs and other State and Private Universities and Institutions. The Syllabus is based on CBSE 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Mathematics
www.entranceindia.com provides model papers for JEE Advanced and other medical and engineering entrance examinations in India. Our model papers are proved to be best where students could discover 12 questions matching in JEE Main 2014 examination. For more information please visit us today.
AIPMT 2015 is going to be conducted by CBSE during November 2015 to take admission into Government and Private Universities and Institutions. The Syllabus is based on CBSE 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Biology
www.entranceindia.com provides model papers for AIPMT and other medical and engineering entrance examinations in India. For more information please visit us today.
AIPMT 2015 is going to be conducted by CBSE during November 2015 to take admission into Government and Private Universities and Institutions. The Syllabus is based on CBSE 10+2 exam system covering class 11 & 12 syllabus.
Syllabus Contents:
1. Physics
2. Chemistry
3. Biology
www.entranceindia.com provides model papers for AIPMT and other medical and engineering entrance examinations in India. For more information please visit us today.
www.entranceindia.com provides JEE Main 2015 model papers including all subjects such as Physics, Chemistry, Mathematics along with their Sample papers, Practice Test Series and Past exam papers in online as well as DVD mode. For more information about jee main 2015 please visit our site www.entranceindia.com
Leveraging Generative AI to Drive Nonprofit InnovationTechSoup
In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)
How to Setup Warehouse & Location in Odoo 17 InventoryCeline George
In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
Communicating effectively and consistently with students can help them feel at ease during their learning experience and provide the instructor with a communication trail to track the course's progress. This workshop will take you through constructing an engaging course container to facilitate effective communication.
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptxEduSkills OECD
Iván Bornacelly, Policy Analyst at the OECD Centre for Skills, OECD, presents at the webinar 'Tackling job market gaps with a skills-first approach' on 12 June 2024
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
-------------------------------------------------------------------------------
Find out more about ISO training and certification services
Training: ISO/IEC 27001 Information Security Management System - EN | PECB
ISO/IEC 42001 Artificial Intelligence Management System - EN | PECB
General Data Protection Regulation (GDPR) - Training Courses - EN | PECB
Webinars: https://pecb.com/webinars
Article: https://pecb.com/article
-------------------------------------------------------------------------------
For more information about PECB:
Website: https://pecb.com/
LinkedIn: https://www.linkedin.com/company/pecb/
Facebook: https://www.facebook.com/PECBInternational/
Slideshare: http://www.slideshare.net/PECBCERTIFICATION
2. 1. Assuming that about 200 MeV energy is released per fission of 92U235
nuclei, what would be the mass of U235 consumed per day in the
fission of reactor of power 1 MW approximately?
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 10 kg b. 100 kg
c. 1 g d. 10−2 g
3. 2. A parallel plate capacitor is charged and the charging battery is then
disconnected. If the plates of the capacitor are moved further apart by
means of insulating handles then
a. the charge on the capacitor increases
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. the charge on the capacitor increases
b. the voltage across the plate increases
c. the capacitance increases
d. the electrostatic energy stored in the capacitor increases
4. 3. The equivalent capacitance between points A and B is
-----------------------------------------------
JEE (Main) 2015
Model Paper
(a) (b)
(c) (d) None of these
( )−C 3 1
2
−
2C
3 1
( )+C 5 1
2
5. 4. A thin wire of length l and uniform linear mass density ρ is bent into
a circular loop with centre O and radius r as shown in figure. The
moment of inertia of the loop about the axis XX’ is
-----------------------------------------------
JEE (Main) 2015
Model Paper
(a) (b)
(c) (d)
6. 5. Two cells of e.m.f.s 1.5 V and 2.0 V and internal resistances 2 ohm
and 1 ohm respectively have their negative terminals joined by a wire
of 6 ohm and positive terminals by a wire of 7 ohm resistance. A third
resistance wire of 8 ohm connects middle points of these wires. Find
-----------------------------------------------
JEE (Main) 2015
Model Paper
the potential difference at the end of the third wire.
a. 2.25 V
b. 1.36 V
c. 1.26 V
d. 2.72 V
7. 6. Six charges are placed at the corner of a regular hexagon as shown.
If an electron is placed at its centre O, then the force on it will be :
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. Zero
b. Along OF
c. Along OC
d. None of these
8. 7. An inductance of (100/π) mH, a capacitance of F and a
Resistance of 6.75 are connected in series with an AC source
220 V, 40 Hz. The phase angle of the circuit is
−
π
2
10
-----------------------------------------------
JEE (Main) 2015
Model Paper
220 V, 40 Hz. The phase angle of the circuit is
a. π/2
b. π/3
c. π/4
d. π/6
9. 8. A photon of energy hν and momentum hν/c collides with an electron
at rest. After the collision, the scattered electron and the scattered
photon each make an angle of 45° with the initial direction of motion.
The ratio of frequency of scattered and incident photon is
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. √2
b. √2 – 1
c. 2
d. 1/√2
10. 9. Two spherical soap bubbles of radii R1 and R2 combine under
isothermal condition to form a single bubble. The radius of the
resultant bubble is
-----------------------------------------------
JEE (Main) 2015
Model Paper
a.
b.
c.
d.
11. 10. If the distance between the earth and the sun were one third of its
present value, the no. of days in a year would have been
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 75 days
b. 70 days
c. 67 days
d. 68.5 days
12. 11. Three blocks of masses m, 3m and 5m are connected by mass less
strings and pulled by a force F on a frictionless surface as shown in
the figure below. The tension P in the first string is 16 N
If the point of application of F is changed as given below,
-----------------------------------------------
JEE (Main) 2015
Model Paper
If the point of application of F is changed as given below,
the values of P' and Q' will be
a. 16 N, 10N b. 10 N, 16 N
c. 2 N, 8 N d. 10 N, 6 N
13. 12. A conducting ring of radius 1 metre is placed in an uniform
magnetic field B of 0.01 Tesla oscillating with frequency 100 Hz
with its plane at right angle to B. What will be the induced electric
field?
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. π volt/m
b. 2 volt/m
c. 10 volt/m
d. 62 volt/m
14. 13. If 10% of the radioactive material decays in 5 days, what would be
percentage of amount of original material left after 20 days?
a. 56.61%
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 56.61%
b. 65.61%
c. 55.61%
d. 55.16%
15. 14. The displacement of a particle moving in a straight line depends on
time as x = αt3 + βt2 + γt + δ . The ratio of initial acceleration to its
initial velocity depends
a. only on α and γ
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. only on β and γ
c. only on α and β
d. only on α
16. 15. A student is standing at a distance of 50 metre from the bus. As
soon as the bus begins its motion with an acceleration of 1 ms-2,
the student starts running towards the bus with a uniform velocity u.
Assuming the motion to be along a straight road, the minimum
value of u, so that the student is able to catch the bus is
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 8 ms-1
b. 5 ms-1
c. 12 ms-1
d. 10 ms-1
17. 16. Power P is related to distance x and time t as . The
dimension of a is
a. [M0 L1 T-2]
−
=
2
a x
P
bt
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. [M L T ]
b. [M0 L2 T2]
c. [M0 L2 T−2]
d. [M0 L2 T0]
18. 17. Calculate the increase in energy of a brass bar of length 0.2 m and
cross sectional area 1 cm2 when compressed with a load of 5 kg
weight along its length. Young’s modulus of brass = 1.0 × 1011
Nm-2.
-----------------------------------------------
JEE (Main) 2015
Model Paper
Nm .
a. 1.2 × 10-5 J
b.1.4 × 10-5 J
c. 2.4 × 10-5 J
d. 2.8 × 10-5 J
19. 18. The apparent depth of water in cylindrical water tank of diameter
2R cm is reducing at the rate of x cm/minute when water is being
drained out at a constant rate. The amount of water drained in c.c
per minute is: (n1 = refractive index of air, n2 = refractive index of
water)
-----------------------------------------------
JEE (Main) 2015
Model Paper
water)
a. b.
c. d.
20. 19. A lens is made of flint glass (refractive index = 1.5). When the lens
is immersed in a liquid of refractive index 1.25, the focal length:
a. increases by a factor of 1.25
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. increases by a factor of 1.25
b. increases by a factor of 2.5
c. increases by a factor of 1.2
d. decreases by a factor of 1.2
21. 20. Which of the following spherical lenses doesn’t exhibit dispersion? The
radii of curvature of the surfaces of the lenses are given in the
diagrams?
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. b.
c. d.
22. 21. A particle executes simple Harmonic motion in a line of 5 cm long.
When it passes through the centre of line, its velocity is 15 cm/s.
Find its frequency.
-----------------------------------------------
JEE (Main) 2015
Model Paper
Find its frequency.
a. 0.72 Hz
b. 0.36 Hz
c. 0.96 Hz
d. 0.48 Hz
23. 22. Water from a tap emerges vertically downward with an initial speed
of 1 m/s. The cross-sectional area of the tap is 10−4 m2. Assume
that the pressure is constant throughout the stream of water and
the flow is steady. What is the cross-sectional area of the stream
0.15m below the tap?
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 2.5 × 10−5 m2
b. 5.0 × 10−5 m2
c. 4.0 × 10−4 m2
d. 3.5 × 10−5 m2
24. 23. A rectangular film of liquid is extended from 7cm × 5 cm to 9 cm × 8
cm. If the work done is 4 × 10−4J. Find the surface tension of liquid.
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 0.11 N
b. 1.4 N
c. 0.25 N
d. 2.5 N
25. 24. The maximum velocity of a particle executing S.H.M with an
amplitude 14 mm is 4.4 m/s. The period of oscillation is
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 0.05s
b. 0.02s
c. 0.03s
d. 0.04s
26. 25. Where is the centre of mass of a binary system with a white dwarf
star of mass (M) and a Red – giant star (m) separated by a
distance (p)?
a. At R1 = P × (1-m/(m + M)) from m and
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. At R1 = P × (1-m/(m + M)) from m and
R2 = m × P/(m + M) from M
b. At R2 = P × (1-m/(m + M)) from m and
R1 = m × P/(m + M) from M
c. At R1 = P2 × (1-m/(m + M)) from m and
R2 = m × P2/(m + M) from M
d. At R1 = P × (1-m/(m - M)) from m and
R2 = m × P/(m - M) from M
27. 26. A bimetallic strip is formed out of two identical strips, one of copper
and the other of brass. The coefficients of linear expansion of the
two metals are αc and αB. On heating, the temperature of the strip
increases by ∆T and the strip bends to form an arc of radius R.
Then R is proportional to
-----------------------------------------------
JEE (Main) 2015
Model Paper
a.
b.
c.
d.
28. 27. A tank is filled with water upto height H. When a hole is made at a
distance h below the level of water. What will be the horizontal
range of water jet ?
-----------------------------------------------
JEE (Main) 2015
Model Paper
a.
b.
c.
d.
29. 28. L, C and R represent the physical quantities inductance,
capacitance and resistance respectively. The combinations of time
are
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 1/RC
b. C/L
c. 1/√LC
d. L/R
30. 29. In the diffraction from a single slit of width 2.5 λ, the total number of
minimas and secondary maximum (maxima) on either side of the
central maximum are
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 4 minimas, 2 secondary maximas
b. 2 minimas, 2 secondary maximas
c. 2 minimas, 4 secondary maximas
d. 2 minimas, 3 secondary maximas
31. 30. A coil of inductance 8.4 mH and resistance 6 is connected to a
12 V battery. The current in the coil is 1.0 A at approximately the
time
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 500 s
b. 20 s
c. 35 s
d. 1 s
32. 31. The compound ‘X’ in the sequence of the reactions is
a. Acetaldehyde
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. Acetaldehyde
b. Propanal
c. Propanone
d. None of these
33. 32. Which of the following is a correct statement?
a. Clemmensen’s reagent is used for the reduction of aldehyde to
alcohol.
b. Acetaldehyde undergoes aldol condensation to from 4-hydroxy
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. Acetaldehyde undergoes aldol condensation to from 4-hydroxy
butanal.
c. Propanal undergoes iodoform reaction to form iodoform and sodium
propionate with I2 and NaOH.
d. Propanone undergoes aldol condensation in presence of dilute
NaOH.
34. 33. The most stable carbocation among the following is
a. b.
-----------------------------------------------
JEE (Main) 2015
Model Paper
c. d.
35. 34. Which of the following statement is wrong?
a. Diborane reacts with NH3(excess) at low temperature to form an
ionic substance.
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. Diborane reacts with excess of NH3 at high temperature to form
boron nitride.
c. Boron nitride is a white slippery solid and having layer structure just
like graphite.
d. None of these
36. 35. Which of the following is heated with silica at high temperature to
form carborundum ?
a. Nitrogen
b. Carbon
-----------------------------------------------
JEE (Main) 2015
Model Paper
c. Carbon monoxide
d. None of these
37. 36. What is the product in the reaction
a. Acetaldehyde
b. Propanal
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. Propanal
c. Acetic acid
d. Propanoic acid
38. 37. The bond order of is
a. 1.5
b. 2.0
c. 2.5
-----------------------------------------------
JEE (Main) 2015
Model Paper
c. 2.5
d. 3.0
39. 38. For the equilibrium reaction 2HBr ⇌ H2 + Br2, Kc is 4.0 × 10-7. If the
equilibrium concentration of H2 and Br2 are 1.6 × 10−5 M and 1.6
×10−4M respectively then the concentration of HBr will be
a. 8 × 10−1
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. 0.8 × 10−1
c. 0.8 × 10−2
d. 1.6 × 10−1
40. 39. Hexaaquairon (III) cation shows the hybridisation of
a. sp3
b. d2sp
-----------------------------------------------
JEE (Main) 2015
Model Paper
c. d2sp3
d. sp3d2
41. 40. The highest magnetic moment shown by the transition metal of the
following is
a. Cu+
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. Zn++
c. Cr3+
d. Ni2+
42. 41. The emf of the cell Pt(H2)| HCl(aq) ||AgCl |Ag is 0.275 V at 298 K
and 0.255 at 308 K. Calculate the enthalpy change in the reaction
at 298 K.
a. 320 kJ
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. 175 kJ
c. 155 kJ
d. 168 kJ
43. 42. How many sigma and pi bonds are there in the P4O10 molecule?
a. 6π, 10 σ
b. 4π, 10σ
-----------------------------------------------
JEE (Main) 2015
Model Paper
c. 4π, 16σ
d. 4π, 14 σ
44. 43. The rate of diffusion of two gases ‘A’ and ‘B’ under similar condition
of temp and pressure is 3:1. What is the ratio of root mean square
velocity of these gases if the temperature of these gases is in the
ratio of 4:3?
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 6√2:1
b. 3√2:1
c. 6: √2
d. 2√3:1
45. 44. Which of the following reactions is not feasible?
a. 2KI + Cl2 → 2KCl + I2
b. 2KBr + F2 → 2KF + Br2
c. 2KCl + Br → 2KBr + Cl
-----------------------------------------------
JEE (Main) 2015
Model Paper
c. 2KCl + Br2 → 2KBr + Cl2
d. 2KI + F2 → 2KF + I2
46. 45. The order of dehydration of the following compounds in presence of
conc. H2SO4 is
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. I > II > III > IV b. II > I > III > IV
c. III > I > II > IV d. IV > III > I > II
47. 46. The pH of following solution of the given salts decreases in the
order of
a. NaOH > HCl > NaHCO3 > AlCl3
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. NaOH > HCl > NaHCO3 > AlCl3
b. KOH > NaHCO3 > AlCl3 > HCl
c. NaOH > NaHCO3 > HCl > AlCl3
d. HCl > AlCl3 > NaOH > NaHCO3
48. 47. What is the shape of XeOF4 molecule?
a. Square planar
b. Square pyramidal
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. Square pyramidal
c. Trigonal pyramidal
d. None of these
49. 48. A white ppt or yellow ppt. Which of the following
cannot be ‘A’?
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. b.
c. d.
50. 49. Gabriel phthalimide reaction is used for the preparation of
a. 1° amine
b. 1° alcohol
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. 1° alcohol
c. Acid amide
. d. 2° amine
51. 50. Which of the followings shows maximum catenation properties?
a. O
b. S
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. S
c. Se
d. Te
52. 51. Which of the following statements is incorrect?
a. Sublimation energy of Li is highest in alkali group.
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. Lattice energy of CsCl is less than KCl.
c. Lattice energy depends on electrostatic attraction between Ions.
d. Ionization energy of K is less than Cs.
53. 52. Benzene reacts with CH3Cl in presence of anh. AlCl3 and forms a
compound (A). This on partial oxidation in presence of CrO2Cl2 and
CS2 forms a compound (B). The compound (B) reacts with acetic
anhydride in presence of sodium acetate to form (C). Identify the
compound “C”.
-----------------------------------------------
JEE (Main) 2015
Model Paper
compound “C”.
a. Cinnamic acid
b. Cinnamaldehyde
c. Benzoic anhydride
d. Salicylic acid
54. 53. 80% of a first order reaction is completed in 30 minutes. Find the
time in which 90% of the reaction will be completed.
a. 35
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 35
b. 28
c. 45
d. 43
55. 54. The standard enthalpy of formation of hydrazine is + 52.3 kJ mol-1.
The standard enthalpy of formation of water is – 286 kJ mol-1. What
will be the enthalpy change of the reaction
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. −624.3 kJ
b. + 624.3 kJ
c. 520.3 kJ
d. −520.3 kJ
56. 55. Match the following column:
Column-I Column-II
(A) Acidic flux (P) Sodium carbonate decahydrate
(B) Cassiterite (Q) Silica
(C) Washing Soda (R) Extraction of Sn
-----------------------------------------------
JEE (Main) 2015
Model Paper
(C) Washing Soda (R) Extraction of Sn
(D) Partial oxidation (S) Extraction of Cu
of sulphide ore
a.
b.
c.
d.
57. 56. A graph is plotted between log x/m Vs log p, as shown below. What
will be the value of x/m when pressure is 0.2 atm?
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 0.3 b. 0.4
c. 0.6 d. 0.8
58. 57. A carbohydrate contains five alcoholic group. Out of which one is
primary group and four are secondary groups. It reacts with acetic
anhydride to form pentaacetate. If the mol. wt of carbohydrate is
180 then the mol. wt of pentaacetate will be
-----------------------------------------------
JEE (Main) 2015
Model Paper
180 then the mol. wt of pentaacetate will be
a. 210
b. 395
c. 390
d. 410
59. 58. In the Lassaigne’s test, the blood red coloration is due to the
formation of
a. Sodium ferrocyanide
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. Sodium thiocyanate
c. Ferric thiocyanate
d. Ferrous thiocyanate
60. 59. A 10% solution of a substance ‘X’ is isotonic with a 16.5% solution
of glucose in the same solution of density 1.0 g/cc. What will be the
molecular mass of the substance ‘X’?
a. 109
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 109
b. 112
c. 115
d. 107
61. 60. A 4 : 1 mixture of helium and methane is contained in a vessel at
10 bar pressure. Due to a hole in the vessel, the gas mixture leaks
out. The composition of mixture effusing out initially is
a. 8 : 1
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 8 : 1
b. 8 : 3
c. 4 : 1
d. 2 : 1
62. 61. The area enclosed .
by and x – axis is divided by y – axis in ratio
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. b.
c. d.
63. 62. S – 1 – If sin2θ1 + sin2θ2 + …… + sin2θn = 0, then the different sets
of values of (θ1, θ2……θn) for which cos θ1 + cos θ2 + ….. + cos θn
= n – 4 is n(n – 1).
S – 2 – If sin2θ1 + sin2θ2 + …… + sin2θn = 0, then cos θ1.cos θ2. …..
cos θn = ± 1
-----------------------------------------------
JEE (Main) 2015
Model Paper
cos θn = ± 1
a. Both the statements are true & S – 2 is the correct explanation
of S - 1
b. Both the statements are true but S – 2 is not the correct
explanation of S −1
c. S – 1 is true and S – 2 false
d. S – 1 is false and S – 2 is true
64. 63. If f be any one of the six trigonometric functions. Let A, B ∈ R
satisfying f(2A) = f(2B)
S -1 − A = nπ + B, ∀ n ∈ R
S -2 − 2π is one of the period of f.
-----------------------------------------------
JEE (Main) 2015
Model Paper
∀ ∈
S -2 − 2π is one of the period of f.
a. Both the statements are true & S – 2 is the correct
explanation of S - 1
b. Both the statements are true but S – 2 is not the correct
explanation of S −1
c. S – 1 is true and S – 2 false
d. S – 1 is false and S – 2 is true
65. 64. S –1 – If diagonals of the quadrilateral formed by the lines px + qy
+ r = 0 & p’x + q’y + r = 0 are at right angles, then p2 + q2 = q’2 + p’2.
S –2− Diagonals of a rhombus bisect perpendicularly each other.
a. Both the statements are true & S – 2 is the correct explanation
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. Both the statements are true & S – 2 is the correct explanation
of S - 1
b. Both the statements are true but S – 2 is not the correct
explanation of S −1
c. S – 1 is true and S – 2 false
d. S – 1 is false and S – 2 is true
66. 65. Consider circles x2 + y2 – 4x – 6y − 8 = 0 & x2 + y2 – 2x – 3 = 0
S -1− Both the circles intersect each other at two distinct points.
S-2−Sum of two radii of the circles is greater than distance between
centres of circles.
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. Both the statements are true & S – 2 is the correct explanation
of S – 1
b. Both the statements are true but S – 2 is not the correct
explanation of S −1
c. S – 1 is true and S – 2 false
d. S – 1 is false and S – 2 is true
67. 66. If x > 0 & the 4th term in the expansion of has maximum
value then
a. 2 < x < 3
+
10
3x
2
8
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 2 < x < 3
b. 2 < x < (10/3)
c. 4 < x < 5
d. 5 < x < 7
68. 67.
are four points such that they are
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. collinear
b. equidistant from a fixed point
c. form a parallelogram
d. None of these
69. 68. If A, G & H are A.M, G.M & H.M of a, b, c then the equation with
roots a, b, c is
a.
-----------------------------------------------
JEE (Main) 2015
Model Paper
b.
c.
d.
70. 69. If α, β, γ are roots of px3 + qx2+r= 0 then
a. p
b. q
-----------------------------------------------
JEE (Main) 2015
Model Paper
c. 0
d. r
71. 70. Three persons work independently on a problem. If respective
probabilities of solving problem is 1/3, 1/4, & 1/5. Then the
probability that the problem is unsolved
a. 1/3
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 1/3
b. 2/3
c. 2/5
d. 2/7
72. 71. Given that X = A ∩ B & Y = A ∪ B. The no. of subsets of B is 4 times
the no. of subsets of A and no of subsets of A is 4 times the no. of
subsets of X. It is given that n(X) = 5. Let p, q, r, s be the no. of
subsets of A, B, X & Y respectively. Then from the
following statements
(i) n(A) = 7 (ii) n (B) = 9
-----------------------------------------------
JEE (Main) 2015
Model Paper
(i) n(A) = 7 (ii) n (B) = 9
(iii) n(Y) = 11 (iv) pq = rs
the no. of correct statements is/are
a. 1
b. 2
c. 3
d. 4
73. 72. If x2 + 3x + 5 = 0 & ax2 + bx + c = 0 have a root in common, a, b, c ϵ
N, then least value of a + b + c is
a. 3
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. 3
b. 6
c. 9
d. 12
74. 73. The 100th place digit of the number 17256 is
a. 1
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. 8
c. 6
d. 3
75. 74. The equation x2 + ax + b = -1 has roots which are positive integers,
then a2 + b2 may be equal to
a. 50
b. 37
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. 37
c. 61
d.19
76. 75. If then value of b is
a. ≠ 0
b. = 4/3
∈
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. = 4/3
c. ∈ R
d. > 9/4
77. 76. Number of distinct normals can be drawn from (–2, 1) to the
parabola y2 – 4x – 2y – 3 = 0 is
a. 1
b. 2
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. 2
c. 3
d. None of the above
78. 77. If x = secθ - tanθ & y = cosecθ + cotθ then
a. x(y+1) = y – 1
b. x(y – 1) = y + 1
-----------------------------------------------
JEE (Main) 2015
Model Paper
c. y(x+1) = x – 1
d. y(x – 1) = y – 1
79. 78. The number of ordered triples of non-negative integers those are
solutions of the equation 3x + y + z = 24 are
a.117
-----------------------------------------------
JEE (Main) 2015
Model Paper
a.117
b.119
c. 123
d. 97
80. 79. If x ∈ (0, 7π/2) and , then f has
a. local maximum at π/2 and local minimum of 3π/2
b. local minimum at π/2 and local maximum at 3π/2
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. local minimum at π/2 and local maximum at 3π/2
c. local maximum at 3π/2
d. local minimum at π/2
81. 80. In the expression , the coefficient of x5 is
a. b.
-----------------------------------------------
JEE (Main) 2015
Model Paper
c. d.
82. 81. For what value of λ, the following system of linear equations have a
non trivial solution?
(3 + λ) x + 3y + 4z = 0
x – y + 4z = 0
λx + y + 3z = 0
-----------------------------------------------
JEE (Main) 2015
Model Paper
λx + y + 3z = 0
a. 23/9
b. −4/9
c. 26/9
d. −16/9
83. 82. Equation of the circle having centre at (3, −1) and cutting intercept
of length 6 unit on the line 2x – 5y + 18 = 0 is
a. x2 + y2 – 6x + 2y – 18 = 0
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. x2 + y2 – 6x + 2y – 38 = 0
c. x2 + y2 – 6x + 2y – 28 = 0
d. None of the above
85. 84. The function f(x) = max{(2 –x), (2 + x), 4}, x ∈ (−∞, ∞) is
a. continuous at all points
b. differentiable at all points
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. differentiable at all points
c. differentiable at all point except x = 1 and x = −1
d. continuous at all points except x = 1 & x = −1
86. 85. The function is periodic with period
a. 6
b. 3
c. 4
-----------------------------------------------
JEE (Main) 2015
Model Paper
c. 4
d. 12
87. 86. Let A = {1, 2, 3, 4}, B = {5, 6, 7, 8}, then which of the followings is a
relation from A to B?
a. R1 = {(1, 5), (2, 7), (3, 8)}
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. R1 = {(1, 5), (2, 7), (3, 8)}
b. R2 = {(6, 2), (3, 8), (4, 7)}
c. R3 = {(4, 5), (6, 3), (2, 7)}
d. R4 = {(5, 4), (6, 3), (7, 8), (4, 5), (3, 8)}
89. 88. The shortest distance of the line x-y-2=0 from the curve y = x2 + 3x
+ 2 is
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. √2/3
b. 3/√2
c. √2
d. 1/√2
90. 89. If 1 is a twice repeated root of the equation ax3 + bx2 +bx + d = 0
then
a. a + b = 0
-----------------------------------------------
JEE (Main) 2015
Model Paper
a. a + b = 0
b. b + d = 0
c. a = d
d. All of these
91. 90. The eccentricity of the conjugate hyperbola of the hyperbola x2 –
3y2 = 1 is
a. 2
b. 2/√3
-----------------------------------------------
JEE (Main) 2015
Model Paper
b. 2/√3
c. 4
d. 4/5