This document provides information about a 60-minute exam containing 20 multiple choice questions testing various physics concepts. The exam is divided into 4 sections. Section I contains 4 single-answer multiple choice questions worth 3 marks each. Section II contains 5 multi-answer multiple choice questions worth 4 marks each. Section III contains 3 passages of 2 questions each based on the passage. Section IV contains 2 matrix-matching questions worth 2 marks each for correct matches. The total marks for the exam are 80.
The document contains a 14 question multiple choice test on topics in civil engineering. The questions cover topics such as limits, probability, differential equations, mechanics, materials, soils, hydrology, and hydraulics. For each question there are 4 possible answer choices labeled A, B, C, or D.
M A T E R I A L S C I E N C E F O R C H E M I C A L E N G I N E E R I N G J ...guest3f9c6b
This document contains 8 questions related to material science for a chemical engineering exam. The questions cover topics such as crystal structures, dislocations, solid solutions, phase transformations, and the mechanical properties of metals. Some questions have multiple parts asking students to calculate properties of crystal structures, explain concepts in material deformation and failure, derive expressions, or interpret phase diagrams. The exam tests students' understanding of fundamental materials science principles as well as their ability to apply this knowledge to solve quantitative and qualitative problems.
The document discusses the attitude dynamics of a re-entry vehicle (RV) in planetary atmospheres. It presents the following:
1) Equations of motion for the RV's angular momentum, unit vectors describing its orientation, and acceleration due to aerodynamic and gravitational forces.
2) Equations of motion for the RV's mass center in terms of its velocity, altitude, trajectory inclination angle, and dynamic pressure.
3) Solutions to the undisturbed equations of motion, including an energy integral and general solutions involving elliptic functions for different forms of the restoring aerodynamic moment.
This paper presents the study of the dynamics and control of an axial variable structure satellite (asymmetric platform and an axisymmetric rotor). Inertia moments of the rotor change slowly over time. The dynamics of the satellite is described by using ordinary differential equations with Serret-Andoyer canonical variables. For undisturbed motion, the stationary solutions are found, and their stability is studied. The control law is obtained for the satellite with variable structure on the basis of the stationary solutions. By means of computer numerical simulations, we have shown that the motion of the satellite controlled by founded internal torque is stable.
11.0001www.iiste.org call for paper.differential approach to cardioid distrib...Alexander Decker
This document summarizes a research paper that derives the probability density function (pdf) of the cardioid distribution through solving a differential equation. It then uses a Mobius transformation to map the cardioid distribution on a circle to new symmetric and unimodal distributions on the real line, called Cauchy type models. Graphs of the Cauchy type model pdfs are provided for different parameter values.
1.differential approach to cardioid distribution -1-6Alexander Decker
This document presents a differential equation approach to deriving the probability density function of the cardioid distribution. It shows that the cardioid distribution can be obtained as the solution to a second-order non-homogeneous linear differential equation under certain initial conditions. It also describes how the Mobius transformation can be used to map the cardioid distribution on a circle to real-valued Cauchy-type distributions. Specifically, it presents a Mobius transformation that maps points on the unit circle to the real line, allowing the derivation of new unimodal symmetric distributions from the original cardioid distribution.
05212201 C A L I B R A T I O N A N D E L E C T R O N I C M E A S U R E ...guestd436758
This document contains information about an exam for a calibration and electronic measurements course, including 8 multiple choice questions. Question 1 involves calculating statistics like mean, standard deviation, and error from a set of voltage measurements. Question 2 defines SI units for conductance, magnetic flux, flux density, and inductance, and calculates flux density given magnetic flux. Question 3 provides short note questions on topics like testing, calibration, reliability, and traceability.
This document contains a chapter on force and motion that includes 23 multiple choice questions. Some key points:
- It covers topics like linear motion, motion graphs, momentum, impulsive force, gravitational force, and equilibrium of forces.
- The questions test understanding of concepts like acceleration, velocity, displacement, momentum, gravitational potential energy, kinetic energy, and the relationship between forces and motion.
- Diagrams and calculations are provided as part of some questions to analyze forces, motion, energy, and other physical quantities.
The document contains a 14 question multiple choice test on topics in civil engineering. The questions cover topics such as limits, probability, differential equations, mechanics, materials, soils, hydrology, and hydraulics. For each question there are 4 possible answer choices labeled A, B, C, or D.
M A T E R I A L S C I E N C E F O R C H E M I C A L E N G I N E E R I N G J ...guest3f9c6b
This document contains 8 questions related to material science for a chemical engineering exam. The questions cover topics such as crystal structures, dislocations, solid solutions, phase transformations, and the mechanical properties of metals. Some questions have multiple parts asking students to calculate properties of crystal structures, explain concepts in material deformation and failure, derive expressions, or interpret phase diagrams. The exam tests students' understanding of fundamental materials science principles as well as their ability to apply this knowledge to solve quantitative and qualitative problems.
The document discusses the attitude dynamics of a re-entry vehicle (RV) in planetary atmospheres. It presents the following:
1) Equations of motion for the RV's angular momentum, unit vectors describing its orientation, and acceleration due to aerodynamic and gravitational forces.
2) Equations of motion for the RV's mass center in terms of its velocity, altitude, trajectory inclination angle, and dynamic pressure.
3) Solutions to the undisturbed equations of motion, including an energy integral and general solutions involving elliptic functions for different forms of the restoring aerodynamic moment.
This paper presents the study of the dynamics and control of an axial variable structure satellite (asymmetric platform and an axisymmetric rotor). Inertia moments of the rotor change slowly over time. The dynamics of the satellite is described by using ordinary differential equations with Serret-Andoyer canonical variables. For undisturbed motion, the stationary solutions are found, and their stability is studied. The control law is obtained for the satellite with variable structure on the basis of the stationary solutions. By means of computer numerical simulations, we have shown that the motion of the satellite controlled by founded internal torque is stable.
11.0001www.iiste.org call for paper.differential approach to cardioid distrib...Alexander Decker
This document summarizes a research paper that derives the probability density function (pdf) of the cardioid distribution through solving a differential equation. It then uses a Mobius transformation to map the cardioid distribution on a circle to new symmetric and unimodal distributions on the real line, called Cauchy type models. Graphs of the Cauchy type model pdfs are provided for different parameter values.
1.differential approach to cardioid distribution -1-6Alexander Decker
This document presents a differential equation approach to deriving the probability density function of the cardioid distribution. It shows that the cardioid distribution can be obtained as the solution to a second-order non-homogeneous linear differential equation under certain initial conditions. It also describes how the Mobius transformation can be used to map the cardioid distribution on a circle to real-valued Cauchy-type distributions. Specifically, it presents a Mobius transformation that maps points on the unit circle to the real line, allowing the derivation of new unimodal symmetric distributions from the original cardioid distribution.
05212201 C A L I B R A T I O N A N D E L E C T R O N I C M E A S U R E ...guestd436758
This document contains information about an exam for a calibration and electronic measurements course, including 8 multiple choice questions. Question 1 involves calculating statistics like mean, standard deviation, and error from a set of voltage measurements. Question 2 defines SI units for conductance, magnetic flux, flux density, and inductance, and calculates flux density given magnetic flux. Question 3 provides short note questions on topics like testing, calibration, reliability, and traceability.
This document contains a chapter on force and motion that includes 23 multiple choice questions. Some key points:
- It covers topics like linear motion, motion graphs, momentum, impulsive force, gravitational force, and equilibrium of forces.
- The questions test understanding of concepts like acceleration, velocity, displacement, momentum, gravitational potential energy, kinetic energy, and the relationship between forces and motion.
- Diagrams and calculations are provided as part of some questions to analyze forces, motion, energy, and other physical quantities.
1. The document analyzes the dynamics of a satellite with an elastic tether system. It develops mathematical models to describe the oscillations of the satellite caused by changes in the magnitude and direction of the tether force.
2. Equations of motion are derived for the rotating tethered satellite system using Lagrange's equations. Approximate analytical solutions are also obtained for oscillations of the satellite under the influence of the elastic tether.
3. The dynamics of the elastic tether itself are also modeled through equations that describe vibrations of the tether near the local vertical.
Marking scheme-chemistry-perfect-score-module-form-4-set-1Mudzaffar Shah
The document provides a marking scheme for a chemistry exam covering the structure of atoms and chemical equations. It includes questions and explanations for multiple choice and essay questions testing students' understanding of topics like atomic structure, chemical bonding, states of matter, and chemical reactions. Sample exam questions assess knowledge of concepts such as atomic number, mass number, electron configuration, phases of matter, and balanced chemical equations.
Existence of Hopf-Bifurcations on the Nonlinear FKN ModelIJMER
This document discusses Hopf bifurcations, which occur when the stability of an equilibrium point in a nonlinear dynamical system changes as a parameter is varied, resulting in the emergence of periodic solutions. It first provides background on limit cycles and the Hopf bifurcation theorem. It then determines the indicator k, whose sign indicates whether a Hopf bifurcation is supercritical (k<0) or subcritical (k>0). The analysis is extended to three-dimensional systems by reducing them to a two-dimensional system near the equilibrium point. Finally, the document applies this analysis to the Field-Körös-Noyen (FKN) chemical reaction model to determine its supercritical and subcritical Hopf bifurcations.
Engineering Physics Jntu Model Paper{Www.Studentyogi.Com}guest3f9c6b
This document contains information about an engineering physics exam for a Bachelor of Technology program. It lists 8 questions that students could answer, with each question having 3 parts. The questions cover topics in engineering physics including interference of light, architectural acoustics, ferromagnetism, crystal structures, lasers, optical fibers, lattice vibrations in solids, and transmission electron microscopy. The exam is 3 hours long and worth a total of 80 marks. Students must answer any 5 of the 8 questions on the exam.
Hank Aaron hit 755 home runs in his baseball career. The document provides practice problems for multiplying polynomials by monomials. It gives 16 sample problems with step-by-step solutions showing the work.
1. The melting point is the temperature at which a solid turns to a liquid, and the boiling point is the temperature at which a liquid turns to a gas, both at a definite pressure.
2. Figure 2 shows the heating of substance X. It melts from a solid to a liquid at temperature Q, then boils from a liquid to a gas at temperature R. During these phase changes, the bonds between particles break as energy is absorbed to overcome attractive forces.
3. Figure 3 shows the electron configuration of element M with an electron valence of 1. Atom X and Y are isotopes with the same number of protons but different neutrons, and atom Y is radioactive and used for carbon pathway detection
Research Inventy : International Journal of Engineering and Scienceresearchinventy
Research Inventy : International Journal of Engineering and Science is published by the group of young academic and industrial researchers with 12 Issues per year. It is an online as well as print version open access journal that provides rapid publication (monthly) of articles in all areas of the subject such as: civil, mechanical, chemical, electronic and computer engineering as well as production and information technology. The Journal welcomes the submission of manuscripts that meet the general criteria of significance and scientific excellence. Papers will be published by rapid process within 20 days after acceptance and peer review process takes only 7 days. All articles published in Research Inventy will be peer-reviewed.
The grand unified theory part two the final solutionAlexander Decker
This document presents a mathematical model of the fundamental forces in nature: electromagnetism, gravity, strong nuclear force, and weak nuclear force. The model expresses each force as a system of differential equations with accentuation and dissipation coefficients. It aims to develop a unified theory of all fundamental interactions through a predator-prey approach.
Marking scheme-chemistry-perfect-score-module-form-4-set-5Mudzaffar Shah
The document provides information about manufactured substances in industry, including:
1) The Haber process is used to manufacture ammonia from nitrogen and hydrogen gases under high temperature and pressure. Ammonia is then used to produce fertilizers and other chemicals.
2) Synthetic polymers are large molecules composed of repeating monomer units joined by covalent bonds. Examples include polyethene from ethene monomers and polyvinyl chloride from chloroethylene monomers.
3) Composites are strong materials made by combining two or more components, such as reinforced concrete used in construction.
Gauge Invariance Of The Action Principle For Gauge Systems With Noncanonical ...guest9fa195
This document discusses gauge invariance of the action principle for gauge systems with noncanonical symplectic structures. It shows that for such systems, the complete set of commuting observables at the time boundary is now fixed by the boundary term and the symplectic structure, rather than just the canonical symplectic structure. The theory is applied to two nontrivial models with SL(2,R) and SU(2) gauge symmetries whose phase spaces have new interactions due to noncanonical symplectic structures.
IJCER (www.ijceronline.com) International Journal of computational Engineerin...ijceronline
The document summarizes research on the stability derivatives in pitch and roll of an oscillating supersonic delta wing with straight leading edges. A piston theory is used to obtain closed-form solutions for the stiffness and damping derivatives in pitch, as well as the roll damping derivative. Results show the derivatives vary with parameters like Mach number, incidence angle, and pivot position. Comparisons are made to other studies, showing good agreement for stiffness derivative but disagreement for damping derivative at high angles, possibly due to shock wave detachment. The roll damping derivative decreases with Mach number initially before becoming independent, and increases with aspect ratio.
This document contains a 20 question multiple choice test on vectors and geometry concepts. The test covers topics such as:
- Finding unit vectors and performing vector operations
- Working with lines, planes, and their equations
- Identifying quadric surfaces from equations and sketches
- Converting between rectangular, cylindrical, and spherical coordinate systems
- Calculating distances, angles, and work using vectors
Students are asked multiple choice questions testing their understanding of vector and geometry fundamentals.
The document appears to be part of an engineering physics exam containing both multiple choice and written response questions.
Some key details:
- It contains 8 multiple choice questions testing concepts in physics including Wien's displacement law, de Broglie wavelength, Heisenberg's uncertainty principle, and properties of lasers.
- It also includes 4 written response questions requiring calculations and explanations relating to group velocity, Planck's law, Bragg reflection, and crystal structures.
In summary, the document presents an exam in engineering physics with both multiple choice and written response questions testing students on foundational concepts in areas such as quantum mechanics, thermodynamics, and solid state physics.
Jurnal Internasional : Dualisme Gelombang-Partikel De Broglie Gelombang Dan K...TA_opick
The document discusses issues with de Broglie's original hypothesis that particles have an associated matter wave. Specifically, de Broglie's relation leads to an infinite wavelength and phase velocity for a particle at rest. The author proposes modifications to resolve this. It is argued that invoking Planck's equation means the associated wave must be an electromagnetic wave. The de Broglie term is interpreted as representing the uncertainty in a particle's location, in line with Heisenberg's uncertainty principle. The author concludes by replacing de Broglie's relation with one equating the de Broglie term to this uncertainty.
The document discusses relationships between the coefficients and roots of polynomials. It states that for a polynomial P(x) = ax^n + bx^(n-1) + cx^(n-2) + ..., the sum of the roots is equal to -b/a, the sum of the roots taken two at a time is equal to c/a, and so on for higher order terms. It also generalizes relationships between symmetric polynomials of the roots. For example, it states the sum of the squares of the roots can be expressed in terms of the sum of the roots and the sum of the roots taken two at a time. The document provides an example polynomial and calculates its root-related coefficients.
The document summarizes a lecture on packet routing algorithms for hypercubes, including analyzing the expected time for a random routing algorithm to route packets from source to destination in two phases. It then discusses primal-dual algorithms for solving multi-commodity flow problems on networks and how they maintain constraints for both the primal and dual optimization problems through an iterative process of adjusting primal and dual variables.
This document contains a unit on numbers from an English textbook. It includes several activities to teach students about cardinal numbers, ordinal numbers, days, months, dates, and years. The activities include matching exercises, filling in blanks, listening and repeating numbers, and answering questions. There is also a sample schedule for a student showing his class times and subjects for one week. The document aims to help students learn and practice naming and writing numbers as well as terms related to time and calendar concepts in English.
La hidromecánica estudia los fluidos y sus propiedades. Se divide en hidrostática, que estudia el equilibrio estático de los líquidos, hidrodinámica, que estudia el movimiento dinámico de los líquidos, y neumática, que estudia los principios anteriores aplicados a los gases. Algunas propiedades fundamentales de los fluidos son la viscosidad, el volumen, la cohesión, la compresibilidad y la densidad.
This document provides information about waves and sound waves. It defines different types of waves including longitudinal waves, transverse waves, and standing waves. It explains how the speed of a wave is calculated and provides examples of calculating wavelength and frequency. It also describes the differences between closed and open pipes and how harmonics work for each, with closed pipes producing sound at odd harmonics and open pipes at all harmonics.
This module introduces physics and discusses its relationship to other sciences and technology. Physics is considered the most basic science because its concepts like motion, forces, and energy are fundamental to understanding other areas of science. The module consists of 4 lessons that will describe the nature of physics, relate it to technology and society, discuss contributions of physicists, and explain the scientific method. After completing the module, students will be able to explain how physics impacts modern life and is applied in technologies like transportation, communication, and household appliances.
This document introduces physics and provides definitions of key physics terms and concepts. It defines physics as the study of matter, energy, and their interactions. It also defines related terms like energy, work, force, and mechanics. The document then provides 15 multiple choice questions to test understanding of topics like the branches of physics, inventions inspired by physics, and key physicists and their contributions.
The document discusses multiple choice questions, including their history, characteristics, advantages, disadvantages, limitations, and tips for writing good questions. It notes that multiple choice questions are widely used in educational testing and can assess a broad range of content efficiently but require careful writing to avoid flaws like grammatical inconsistencies between options. Good questions should sample important concepts and have answer difficulty distributed appropriately.
1. The document analyzes the dynamics of a satellite with an elastic tether system. It develops mathematical models to describe the oscillations of the satellite caused by changes in the magnitude and direction of the tether force.
2. Equations of motion are derived for the rotating tethered satellite system using Lagrange's equations. Approximate analytical solutions are also obtained for oscillations of the satellite under the influence of the elastic tether.
3. The dynamics of the elastic tether itself are also modeled through equations that describe vibrations of the tether near the local vertical.
Marking scheme-chemistry-perfect-score-module-form-4-set-1Mudzaffar Shah
The document provides a marking scheme for a chemistry exam covering the structure of atoms and chemical equations. It includes questions and explanations for multiple choice and essay questions testing students' understanding of topics like atomic structure, chemical bonding, states of matter, and chemical reactions. Sample exam questions assess knowledge of concepts such as atomic number, mass number, electron configuration, phases of matter, and balanced chemical equations.
Existence of Hopf-Bifurcations on the Nonlinear FKN ModelIJMER
This document discusses Hopf bifurcations, which occur when the stability of an equilibrium point in a nonlinear dynamical system changes as a parameter is varied, resulting in the emergence of periodic solutions. It first provides background on limit cycles and the Hopf bifurcation theorem. It then determines the indicator k, whose sign indicates whether a Hopf bifurcation is supercritical (k<0) or subcritical (k>0). The analysis is extended to three-dimensional systems by reducing them to a two-dimensional system near the equilibrium point. Finally, the document applies this analysis to the Field-Körös-Noyen (FKN) chemical reaction model to determine its supercritical and subcritical Hopf bifurcations.
Engineering Physics Jntu Model Paper{Www.Studentyogi.Com}guest3f9c6b
This document contains information about an engineering physics exam for a Bachelor of Technology program. It lists 8 questions that students could answer, with each question having 3 parts. The questions cover topics in engineering physics including interference of light, architectural acoustics, ferromagnetism, crystal structures, lasers, optical fibers, lattice vibrations in solids, and transmission electron microscopy. The exam is 3 hours long and worth a total of 80 marks. Students must answer any 5 of the 8 questions on the exam.
Hank Aaron hit 755 home runs in his baseball career. The document provides practice problems for multiplying polynomials by monomials. It gives 16 sample problems with step-by-step solutions showing the work.
1. The melting point is the temperature at which a solid turns to a liquid, and the boiling point is the temperature at which a liquid turns to a gas, both at a definite pressure.
2. Figure 2 shows the heating of substance X. It melts from a solid to a liquid at temperature Q, then boils from a liquid to a gas at temperature R. During these phase changes, the bonds between particles break as energy is absorbed to overcome attractive forces.
3. Figure 3 shows the electron configuration of element M with an electron valence of 1. Atom X and Y are isotopes with the same number of protons but different neutrons, and atom Y is radioactive and used for carbon pathway detection
Research Inventy : International Journal of Engineering and Scienceresearchinventy
Research Inventy : International Journal of Engineering and Science is published by the group of young academic and industrial researchers with 12 Issues per year. It is an online as well as print version open access journal that provides rapid publication (monthly) of articles in all areas of the subject such as: civil, mechanical, chemical, electronic and computer engineering as well as production and information technology. The Journal welcomes the submission of manuscripts that meet the general criteria of significance and scientific excellence. Papers will be published by rapid process within 20 days after acceptance and peer review process takes only 7 days. All articles published in Research Inventy will be peer-reviewed.
The grand unified theory part two the final solutionAlexander Decker
This document presents a mathematical model of the fundamental forces in nature: electromagnetism, gravity, strong nuclear force, and weak nuclear force. The model expresses each force as a system of differential equations with accentuation and dissipation coefficients. It aims to develop a unified theory of all fundamental interactions through a predator-prey approach.
Marking scheme-chemistry-perfect-score-module-form-4-set-5Mudzaffar Shah
The document provides information about manufactured substances in industry, including:
1) The Haber process is used to manufacture ammonia from nitrogen and hydrogen gases under high temperature and pressure. Ammonia is then used to produce fertilizers and other chemicals.
2) Synthetic polymers are large molecules composed of repeating monomer units joined by covalent bonds. Examples include polyethene from ethene monomers and polyvinyl chloride from chloroethylene monomers.
3) Composites are strong materials made by combining two or more components, such as reinforced concrete used in construction.
Gauge Invariance Of The Action Principle For Gauge Systems With Noncanonical ...guest9fa195
This document discusses gauge invariance of the action principle for gauge systems with noncanonical symplectic structures. It shows that for such systems, the complete set of commuting observables at the time boundary is now fixed by the boundary term and the symplectic structure, rather than just the canonical symplectic structure. The theory is applied to two nontrivial models with SL(2,R) and SU(2) gauge symmetries whose phase spaces have new interactions due to noncanonical symplectic structures.
IJCER (www.ijceronline.com) International Journal of computational Engineerin...ijceronline
The document summarizes research on the stability derivatives in pitch and roll of an oscillating supersonic delta wing with straight leading edges. A piston theory is used to obtain closed-form solutions for the stiffness and damping derivatives in pitch, as well as the roll damping derivative. Results show the derivatives vary with parameters like Mach number, incidence angle, and pivot position. Comparisons are made to other studies, showing good agreement for stiffness derivative but disagreement for damping derivative at high angles, possibly due to shock wave detachment. The roll damping derivative decreases with Mach number initially before becoming independent, and increases with aspect ratio.
This document contains a 20 question multiple choice test on vectors and geometry concepts. The test covers topics such as:
- Finding unit vectors and performing vector operations
- Working with lines, planes, and their equations
- Identifying quadric surfaces from equations and sketches
- Converting between rectangular, cylindrical, and spherical coordinate systems
- Calculating distances, angles, and work using vectors
Students are asked multiple choice questions testing their understanding of vector and geometry fundamentals.
The document appears to be part of an engineering physics exam containing both multiple choice and written response questions.
Some key details:
- It contains 8 multiple choice questions testing concepts in physics including Wien's displacement law, de Broglie wavelength, Heisenberg's uncertainty principle, and properties of lasers.
- It also includes 4 written response questions requiring calculations and explanations relating to group velocity, Planck's law, Bragg reflection, and crystal structures.
In summary, the document presents an exam in engineering physics with both multiple choice and written response questions testing students on foundational concepts in areas such as quantum mechanics, thermodynamics, and solid state physics.
Jurnal Internasional : Dualisme Gelombang-Partikel De Broglie Gelombang Dan K...TA_opick
The document discusses issues with de Broglie's original hypothesis that particles have an associated matter wave. Specifically, de Broglie's relation leads to an infinite wavelength and phase velocity for a particle at rest. The author proposes modifications to resolve this. It is argued that invoking Planck's equation means the associated wave must be an electromagnetic wave. The de Broglie term is interpreted as representing the uncertainty in a particle's location, in line with Heisenberg's uncertainty principle. The author concludes by replacing de Broglie's relation with one equating the de Broglie term to this uncertainty.
The document discusses relationships between the coefficients and roots of polynomials. It states that for a polynomial P(x) = ax^n + bx^(n-1) + cx^(n-2) + ..., the sum of the roots is equal to -b/a, the sum of the roots taken two at a time is equal to c/a, and so on for higher order terms. It also generalizes relationships between symmetric polynomials of the roots. For example, it states the sum of the squares of the roots can be expressed in terms of the sum of the roots and the sum of the roots taken two at a time. The document provides an example polynomial and calculates its root-related coefficients.
The document summarizes a lecture on packet routing algorithms for hypercubes, including analyzing the expected time for a random routing algorithm to route packets from source to destination in two phases. It then discusses primal-dual algorithms for solving multi-commodity flow problems on networks and how they maintain constraints for both the primal and dual optimization problems through an iterative process of adjusting primal and dual variables.
This document contains a unit on numbers from an English textbook. It includes several activities to teach students about cardinal numbers, ordinal numbers, days, months, dates, and years. The activities include matching exercises, filling in blanks, listening and repeating numbers, and answering questions. There is also a sample schedule for a student showing his class times and subjects for one week. The document aims to help students learn and practice naming and writing numbers as well as terms related to time and calendar concepts in English.
La hidromecánica estudia los fluidos y sus propiedades. Se divide en hidrostática, que estudia el equilibrio estático de los líquidos, hidrodinámica, que estudia el movimiento dinámico de los líquidos, y neumática, que estudia los principios anteriores aplicados a los gases. Algunas propiedades fundamentales de los fluidos son la viscosidad, el volumen, la cohesión, la compresibilidad y la densidad.
This document provides information about waves and sound waves. It defines different types of waves including longitudinal waves, transverse waves, and standing waves. It explains how the speed of a wave is calculated and provides examples of calculating wavelength and frequency. It also describes the differences between closed and open pipes and how harmonics work for each, with closed pipes producing sound at odd harmonics and open pipes at all harmonics.
This module introduces physics and discusses its relationship to other sciences and technology. Physics is considered the most basic science because its concepts like motion, forces, and energy are fundamental to understanding other areas of science. The module consists of 4 lessons that will describe the nature of physics, relate it to technology and society, discuss contributions of physicists, and explain the scientific method. After completing the module, students will be able to explain how physics impacts modern life and is applied in technologies like transportation, communication, and household appliances.
This document introduces physics and provides definitions of key physics terms and concepts. It defines physics as the study of matter, energy, and their interactions. It also defines related terms like energy, work, force, and mechanics. The document then provides 15 multiple choice questions to test understanding of topics like the branches of physics, inventions inspired by physics, and key physicists and their contributions.
The document discusses multiple choice questions, including their history, characteristics, advantages, disadvantages, limitations, and tips for writing good questions. It notes that multiple choice questions are widely used in educational testing and can assess a broad range of content efficiently but require careful writing to avoid flaws like grammatical inconsistencies between options. Good questions should sample important concepts and have answer difficulty distributed appropriately.
The document contains 50 multiple choice questions testing mathematical concepts such as algebra, geometry, statistics, and trigonometry. The questions cover a wide range of topics including: simplifying expressions, solving equations, finding values based on graphs/tables, properties of shapes, percentages, and probability.
This document discusses heat and temperature. It begins by explaining early theories of heat, including the caloric fluid theory which was later disproven. It then discusses sources of heat, both natural like the sun and artificial like chemical reactions. Key terms are defined, like conduction, convection and radiation as methods of heat transfer. Common temperature scales are explained including Celsius, Fahrenheit and Kelvin. Effects of heat like expansion and phase changes are covered. The document concludes with a short quiz to test the reader's understanding.
Este documento describe varios conceptos relacionados con la estática de fluidos. Explica que los barcos flotan debido a la fuerza de empuje del agua, la cual depende del volumen sumergido. También describe cómo los tanques de agua y los submarinos usan el principio de los vasos comunicantes para controlar el nivel del agua/aire. Finalmente, presenta algunos problemas resueltos sobre presión hidrostática, flotabilidad y equilibrio de fuerzas en fluidos.
This document provides an overview of game theory concepts taught in a university course. It defines game theory as the mathematics of human interactions and decision making. Key concepts discussed include Nash equilibrium, where each player adopts the optimal strategy given other players' strategies. Examples of applications are given in fields like economics, politics and biology. Different types of games and solutions concepts like mixed strategies are also introduced.
Neet full syllabus test paper physics chemistry biologypravallikadodda
This document describes a 35 question physics exam with the following details:
- Section 1 is mandatory and contains 35 questions worth 4 marks each for correct answers and a 1 mark deduction for incorrect answers.
- Section 2 also contains physics questions, with 10 of 15 questions being mandatory with the same scoring scheme as Section 1.
- The questions cover various topics in physics including mechanics, waves, optics, thermodynamics and electromagnetism. Sample questions on momentum, simple harmonic motion, wave interference and gas laws are provided.
- Students must select the correct answer from the multiple choice options provided for each question.
The document is a sample physics test with multiple choice and numerical questions covering various physics topics. It contains 8 objective questions, 4 reasoning questions, and 2 passages with 4 questions each related to the passages. It also includes 2 matrix matching questions and 2 numerical/subjective questions requiring numeric answers. The test examines concepts in mechanics, thermodynamics, electromagnetism, and other core areas of physics.
At Apex Institute, we endeavour to amalgamate the ancient values of uttermost dedication and responsibility that gave teaching a very pious and sacred status, with latest teaching methodologies so as to make the act of learning, a delectable experience. The arduous task is accomplished by a team of diligent academicians and entrepreneurs, who with the years of experience have mastered the techniques to transform even the most abstruse topics easy to comprehend.
Great emphasis is laid on the concepts and fundamentals with a smooth and systematic transition to the advanced levels of teaching. The interaction between students and teachers is always encouraged so as to provide a very healthy environment for growth and learning. During the process of training the students for IIT-JEE/Engg./Medical entrance examinations, great emphasis is laid on the fundamentals so as to excel in the CBSE examination also.
Illustrious faculty and excellent teaching techniques provide you will an infallible approach to success only at Apex Institute.
Our Mission
Generating excellence both in academic and competitive aspects thereby training the youth for most gruelling entrance level exams viz. IIT-JEE/Engg.& Medical entrance.
Our Vision
Generating excellence in academic, exploring creative areas of the dormant self, nurturing talent & aptitude & including perseverance among the students to keep themselves abreast of the latest developments in the field of competitive examinations.
Our Objectives
1. Striving for the best possible education to ambitious students aspiring to join corporate world as medical professionals.
2. Creating a comprehensive understanding of the subjects & help developing strategies to meet arduous competitions among the students to match, excel & ameliorate the competition oriented education.
The document contains 35 multiple choice questions related to mechanics concepts such as kinematics, dynamics, work, energy and linear momentum. The questions cover topics like projectile motion, collisions, rotational motion, center of mass, work energy theorem and impulse momentum theorem. Sample questions ask about displacement of a particle, change in linear momentum of a particle projected at an angle, maximum extension of a spring connecting two blocks, and velocity of blocks attached to a string passing over a pulley when released.
This document contains a multiple choice test with 27 questions related to physics concepts like forces, energy, momentum, collisions, and circular motion. The test includes questions that provide diagrams and ask students to choose the correct answer based on analyzing the physical situation described. It also includes some matching and true/false questions related to various physics terms and concepts.
This physics exam paper from 2006 contains 36 multiple choice questions testing concepts in mechanics, thermodynamics, electromagnetism, optics, and modern physics. The questions assess understanding of topics like ray optics, dimensional analysis, elastic collisions, rotational motion, electromagnetic induction, band theory of solids, radioactive decay, and wave properties.
The document provides instructions for an online aerospace engineering examination. It states that the exam has 65 multiple-choice questions worth a total of 100 marks. Questions are either worth 1 or 2 marks depending on the question number. There is no negative marking for numerical answer questions but negative marking for multiple choice questions. Calculators are allowed but no other materials. The exam is timed for 3 hours.
The document contains a 40 question physics exam with multiple choice answers for each question. The questions cover topics including projectile motion, waves, optics, electricity and magnetism, thermodynamics, and modern physics. The exam tests conceptual understanding of fundamental physics principles as well as the ability to set up and solve quantitative problems.
Vidyamandir Classes provides practice tests to help students prepare for the AIEEE exam. This document describes a practice test from 2012 that covers physics, chemistry, and mathematics. It provides instructions for taking the test, which contains 90 multiple-choice questions across three sections. The test is designed to help students practice for the AIEEE exam, which evaluates students' preparedness for admission to engineering colleges in India.
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This document contains 15 multiple choice and free response questions about sinusoidal functions and graphs. It tests concepts like identifying amplitude, period, phase shift, and writing equations to represent sinusoidal graphs in terms of sine and cosine. The questions progress from identifying properties of given graphs and equations to sketching graphs, writing equations to represent graphs, and applying concepts to word problems involving real-world sinusoidal situations.
This document contains 15 multiple choice and free response questions about sinusoidal functions and their graphs. Key concepts covered include:
- Identifying amplitude, period, and phase shift from graphs of sinusoidal functions
- Writing equations to represent sinusoidal graphs in terms of sine and cosine
- Sketching transformed sinusoidal graphs (shifts, stretches, reflections)
- Finding amplitude, period, phase shift, and vertical/horizontal shifts from equations
- Relating sinusoidal equations to their real world applications like a roller coaster track
1. The document discusses binomial expansion and Pascal's triangle. Binomial expansion uses coefficients from Pascal's triangle to expand binomial expressions of the form (a + b)^n.
2. Pascal's triangle is constructed by starting with 1 and adding the numbers above and to the left/right at each row. The coefficients in the nth row are used to expand a binomial expression with exponent n.
3. Examples show using Pascal's triangle coefficients to expand binomial expressions like (3 + x)^5 and (1 - 3x)^5. The general form and properties of binomial expansion are also defined.
This document contains an unsolved mathematics paper from 2008 with 40 multiple choice questions. The questions cover topics in vectors, geometry, trigonometry, calculus, differential equations, probability, and matrices. The correct answers to each question are labeled with letters a-d.
The document contains 30 multiple choice questions from a past UPSEE mathematics exam. The questions cover a range of topics including: [1] calculating time taken to cross a canal based on speed and direction of flow; [2] determining the derivative of an exponential function; [3] finding the velocity of a particle with given acceleration over time.] The full document provides the questions and multiple choice answers but no solutions.
1. The decimal expansion of π is non-terminating and recurring.
2. If one diagonal of a trapezium divides the other in the ratio 1:3, then one of the parallel sides is three times the other.
3. The mode of the data with classes 50-60, 60-70, 70-80, 80-90, 90-100 and frequencies 9, 12, 20, 11, 10 respectively is 70-80.
Iit jam 2016 physics solutions BY TrajectoryeducationDev Singh
1. The electric field at a point (a, b, 0) due to an infinitely long wire with uniform line charge density λ is given by E=λ/(2πε0)(a/r2)ex+(b/r2)ey, where r2=a2+b2.
2. For a 1W point source emitting light uniformly in all directions, the Poynting vector at the point (1, 1, 0) is 1/(8π)ex+(y/e)ey W/cm2.
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The document appears to be a collection of multiple choice questions (MCQs) related to various topics in chemistry and physics. There are 70 questions in total covering concepts such as thermistors, acceleration, chemical reactions, polymers, orbital speeds, hydrocarbons, oxidation states, and more. The questions are in a numbered list format with 4 possible answer choices listed for each.
This document contains a solved practice paper for BITSAT entrance exam from 2007. It includes 76 multiple choice questions across subjects like mathematics, physics, chemistry. The questions range in difficulty from basic to advanced concepts. Sample questions include trigonometric identities, Newton's laws of motion, chemical bonding, gas laws, and more. The document provides questions, answer options, and the correct answer key to help students prepare for the BITSAT exam.
1. The document contains a 34-question physics exam with multiple choice answers for each question.
2. The questions cover topics in mechanics, thermodynamics, optics, electricity and magnetism, modern physics, and semiconductors.
3. For each question, the examinee must select the letter (a, b, c, or d) that corresponds to the correct multiple choice answer.
Main news related to the CCS TSI 2023 (2023/1695)Jakub Marek
An English 🇬🇧 translation of a presentation to the speech I gave about the main changes brought by CCS TSI 2023 at the biggest Czech conference on Communications and signalling systems on Railways, which was held in Clarion Hotel Olomouc from 7th to 9th November 2023 (konferenceszt.cz). Attended by around 500 participants and 200 on-line followers.
The original Czech 🇨🇿 version of the presentation can be found here: https://www.slideshare.net/slideshow/hlavni-novinky-souvisejici-s-ccs-tsi-2023-2023-1695/269688092 .
The videorecording (in Czech) from the presentation is available here: https://youtu.be/WzjJWm4IyPk?si=SImb06tuXGb30BEH .
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Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slackshyamraj55
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Monitoring and Managing Anomaly Detection on OpenShift.pdfTosin Akinosho
Monitoring and Managing Anomaly Detection on OpenShift
Overview
Dive into the world of anomaly detection on edge devices with our comprehensive hands-on tutorial. This SlideShare presentation will guide you through the entire process, from data collection and model training to edge deployment and real-time monitoring. Perfect for those looking to implement robust anomaly detection systems on resource-constrained IoT/edge devices.
Key Topics Covered
1. Introduction to Anomaly Detection
- Understand the fundamentals of anomaly detection and its importance in identifying unusual behavior or failures in systems.
2. Understanding Edge (IoT)
- Learn about edge computing and IoT, and how they enable real-time data processing and decision-making at the source.
3. What is ArgoCD?
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4. Deployment Using ArgoCD for Edge Devices
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5. Introduction to Apache Kafka and S3
- Explore Apache Kafka for real-time data streaming and Amazon S3 for scalable storage solutions.
6. Viewing Kafka Messages in the Data Lake
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7. What is Prometheus?
- Get to know Prometheus, an open-source monitoring and alerting toolkit, and its application in monitoring edge devices.
8. Monitoring Application Metrics with Prometheus
- Detailed instructions on setting up Prometheus to monitor the performance and health of your anomaly detection system.
9. What is Camel K?
- Introduction to Camel K, a lightweight integration framework built on Apache Camel, designed for Kubernetes.
10. Configuring Camel K Integrations for Data Pipelines
- Learn how to configure Camel K for seamless data pipeline integrations in your anomaly detection workflow.
11. What is a Jupyter Notebook?
- Overview of Jupyter Notebooks, an open-source web application for creating and sharing documents with live code, equations, visualizations, and narrative text.
12. Jupyter Notebooks with Code Examples
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Threats to mobile devices are more prevalent and increasing in scope and complexity. Users of mobile devices desire to take full advantage of the features
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Salesforce Integration for Bonterra Impact Management (fka Social Solutions A...Jeffrey Haguewood
Sidekick Solutions uses Bonterra Impact Management (fka Social Solutions Apricot) and automation solutions to integrate data for business workflows.
We believe integration and automation are essential to user experience and the promise of efficient work through technology. Automation is the critical ingredient to realizing that full vision. We develop integration products and services for Bonterra Case Management software to support the deployment of automations for a variety of use cases.
This video focuses on integration of Salesforce with Bonterra Impact Management.
Interested in deploying an integration with Salesforce for Bonterra Impact Management? Contact us at sales@sidekicksolutionsllc.com to discuss next steps.
Taking AI to the Next Level in Manufacturing.pdfssuserfac0301
Read Taking AI to the Next Level in Manufacturing to gain insights on AI adoption in the manufacturing industry, such as:
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2. Which barriers stand in the way of AI adoption.
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6. Ideas and approaches to help build your organization's AI strategy.
Introduction of Cybersecurity with OSS at Code Europe 2024Hiroshi SHIBATA
I develop the Ruby programming language, RubyGems, and Bundler, which are package managers for Ruby. Today, I will introduce how to enhance the security of your application using open-source software (OSS) examples from Ruby and RubyGems.
The first topic is CVE (Common Vulnerabilities and Exposures). I have published CVEs many times. But what exactly is a CVE? I'll provide a basic understanding of CVEs and explain how to detect and handle vulnerabilities in OSS.
Next, let's discuss package managers. Package managers play a critical role in the OSS ecosystem. I'll explain how to manage library dependencies in your application.
I'll share insights into how the Ruby and RubyGems core team works to keep our ecosystem safe. By the end of this talk, you'll have a better understanding of how to safeguard your code.
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Simplify your search for a reliable Python development partner! This list presents the top 10 trusted US providers offering comprehensive Python development services, ensuring your project's success from conception to completion.
5th LF Energy Power Grid Model Meet-up SlidesDanBrown980551
5th Power Grid Model Meet-up
It is with great pleasure that we extend to you an invitation to the 5th Power Grid Model Meet-up, scheduled for 6th June 2024. This event will adopt a hybrid format, allowing participants to join us either through an online Mircosoft Teams session or in person at TU/e located at Den Dolech 2, Eindhoven, Netherlands. The meet-up will be hosted by Eindhoven University of Technology (TU/e), a research university specializing in engineering science & technology.
Power Grid Model
The global energy transition is placing new and unprecedented demands on Distribution System Operators (DSOs). Alongside upgrades to grid capacity, processes such as digitization, capacity optimization, and congestion management are becoming vital for delivering reliable services.
Power Grid Model is an open source project from Linux Foundation Energy and provides a calculation engine that is increasingly essential for DSOs. It offers a standards-based foundation enabling real-time power systems analysis, simulations of electrical power grids, and sophisticated what-if analysis. In addition, it enables in-depth studies and analysis of the electrical power grid’s behavior and performance. This comprehensive model incorporates essential factors such as power generation capacity, electrical losses, voltage levels, power flows, and system stability.
Power Grid Model is currently being applied in a wide variety of use cases, including grid planning, expansion, reliability, and congestion studies. It can also help in analyzing the impact of renewable energy integration, assessing the effects of disturbances or faults, and developing strategies for grid control and optimization.
What to expect
For the upcoming meetup we are organizing, we have an exciting lineup of activities planned:
-Insightful presentations covering two practical applications of the Power Grid Model.
-An update on the latest advancements in Power Grid -Model technology during the first and second quarters of 2024.
-An interactive brainstorming session to discuss and propose new feature requests.
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Ivanti’s Patch Tuesday breakdown goes beyond patching your applications and brings you the intelligence and guidance needed to prioritize where to focus your attention first. Catch early analysis on our Ivanti blog, then join industry expert Chris Goettl for the Patch Tuesday Webinar Event. There we’ll do a deep dive into each of the bulletins and give guidance on the risks associated with the newly-identified vulnerabilities.
Presentation of the OECD Artificial Intelligence Review of Germany
Physics test2011 1
1. IITGuide.com - PAPER -1 - Duration 60 Minutes 1
No. of
Question Type Marking Scheme Maximum marks
Questions
8 Single Answer Type 3 marks for correct answer; −1 for wrong 24
4 Multiple Answer Type 4 marks for correct answer; −1 for wrong 16
6 Comprehension Type 4 marks for correct answer; −1 for wrong 24
2 marks for each correct answer; No negative
2 Matrix-Matches 16
marking
Total = 20 Total = 80
SECTION – I
This section contains 8 multiple choice questions. Each question has 4 choices (a), (b), (c) and
(d) for its answer, out of which ONLY ONE is correct.
1. A charge q is placed at some distance along the axis of a uniformly charged disc of surface
charge density σ. The flux due to the charge q through the disc is φ. The electric force on
charge q exerted by the disc is
σφ σφ σφ
(a) σφ (b) (c) (d)
4π 2π 3π
2. Find the reading of the ideal ammeter connected in the 10V 4V 8V 6V
given circuit. Assume that the cells have negligible
internal resistance.
(a) 0.8 A 10Ω 8Ω 4Ω 2Ω A
(b) 0.25 A
(c) 1.95 A
(d) 1.0 A
3. A ray of light strikes a horizontal plane mirror at an angle of 45°. A second plane mirror in
attached at an angle θ with it. If ray after reflection from second mirror runs parallel to the
first mirror, then θ is
(a) 45° (b) 60° (c) 67.5° (d) 135°
4. The moment of inertia of a cube of mass m and side ‘a’ about one of its edges is equal to
2 4 8
(a) ma 2 (b) ma 2 (c) 3ma 2 (d) ma 2
3 3 3
1
5. The diagram shows the variation of
1
(where v is velocity of the ( m s )-1
v
v
particle) with respect to time. At time t = 3 s using the details
1
given in the graph, the instantaneous acceleration will be equal to 3 45°
(a) −2 m s 2 (b) +3m s 2
t(s)
(c) +5m s 2 (d) −6 m s 2 3s
6. A container has two immiscible liquids of densities ρ1 and
ρ 2 ( > ρ1 ) . A capillary tube of radius r is inserted in the liquid so
h ρ1
that its bottom reaches upto the denser liquid. The denser liquid
rises in the capillary and attains a height h from the interface of the
ρ2
liquids, which is equal to the column length of the lighter liquid.
Assuming angle of contact to be zero, the surface tension of
heavier liquid is :
ρ rgh r
(a) 2π r ρ 2 gh (b) 2 (c) ( ρ 2 − ρ1 ) gh (d) 2π r ( ρ 2 − ρ1 ) gh
2 2
7. If the system is released from rest, then match the column:
2. IITGuide.com - PAPER -1 - Duration 60 Minutes 2
(i) acceleration of 2 kg mass (a) 2 SI unit
(ii) acceleration of 3 kg mass (b) 5 SI unit
(iii) tension in the string connecting 2 kg mass (c) zero 2kg
(iv) frictional force on 2 kg mass (d)none of these µ=√3/2
30° 3kg
(a) (i) c (ii) b (iii) d (iv) a (b) (i) c (ii) a (iii) b (iv) d
(c) (i) c (ii) c (iii) d (iv) b (d) (i) c (ii) c (iii) d (iv) d
8. What is the largest mass of C in kg that can be suspended without A
moving blocks A and B. The static coefficient of friction for all B
plane surface of contact is 0.3. Mass of block A is 50kg and block B
is 70kg. Neglect friction in the pulleys:
C
(a) 120 kg (b) 92 kg
(c) 81 kg (d) None of these
SECTION – II
This section contains 4 multiple type questions. Each Question has 4 choices (a), (b), (c) and
(d), for its answer, out of which ONE OR MORE is/are correct.
9. A uniform rod AB of length 7m is undergoing combined 11m/s A
rotational and translational motion such that, at some instant of
time, velocities of its end points A and centre C are both
perpendicular to the rod and opposite in direction, having C 3m/s
magnitudes 11 m/s and 3 m/s respectively as shown in the figure.
Velocity of centre C and angular velocity of the rod remains
constant.
(a) acceleration of point A is 56 m/s2 B
2
(b) acceleration of point B is 56 m/s
(c) at the instant shown in the figure acceleration of point B is more than that of point A.
(d) angular velocity of the rod is 4 rad/sec
10. The temperature change versus heat supplied curve is given for Temperature
C
(K) D
1 kg of a solid block. Then, which of the following statements
A B
is/are correct? 60°
(a) Specific heat capacity of the solid is 1 J/kg K. 45°
(b) Specific heat capacity of liquid phase is 3 J/kg K. 0
100 J 200J
(c) Latent heat of vaporization is 100 J/kg Heat supplied (J)
(d) Latent heat of vaporization is 200 J/kg.
11. Three capacitors each having capacitance C = 2µF are connected S
with a battery of emf 30 V as shown in the figure. When the switch S
is closed, then C
(a) the amount of charge flown through the battery is 20 µC C
(b) the heat generated in the circuit is 0.6 mJ C
(c) the energy supplied by the battery is 0.6 mJ
30V
(d) the amount of charge flown through the switch S is 60 µC
12. A uniform rod of mass m = 2 kg and length l = 0.5 m is sliding along two mutually
perpendicular smooth walls with the two ends P and Q having velocities
vP = 4m s and vQ =3m s as shown. Then:
(a) The angular velocity of rod, ω =10 rad/s, counter clokwise .
3. IITGuide.com - PAPER -1 - Duration 60 Minutes 3
(b) The angular velocity of rod ω = 5.0 rad/s. counter clockwise Q
(c) The velocity of center of mass of rod, v cm =2.5 m s .
vQ=3m/s
25
(d) The total kinetic energy of rod, K = joule. P
3 vP=4m/s
SECTION – III
This section contains 3 groups of questions. Each group has 2 multiple choice questions based
on a paragraph. Each question has 4 choices (a), (b), (c) and (d), for its answer, out of which
ONLY ONE is correct
PASSAGE I : Q13 to Q14
Two uniform rods AB and BC of masses 1kg and 2kg having lengths A
2m and 1m respectively are joined to each other at B. The assembly is 2m
kept on a smooth horizontal surface as shown in figure. A horizontal
P
impulse P = 10 N-s is applied on the rod AB at a distance 0.5 m from
point B perpendicular to the rod. 0.5m
B
1m
C
13. Velocity of centre of rod AB just after the application of impulse is
25 35 25
(a) m/s (b) m/s (c) m/s (d) 6 m/s
12 6 2
14. Impulse applied by the rod BC on the rod AB during application of impulse P is
25
(a) 25 N-s (b) 10 N-s (c) N-s (d) 12.5 N-s
6
PASSAGE II : Q15 to Q16 :
S
C1
In the circuit shown in figure, E1 = E2 = 100 volt,
+ +
R1 = R2 = 4Ω , C1 = 6µF and C2 = 3µF. When switch S is C2 _ E2
_ E1
closed and electrical equilibrium is attained.
R1 R2
15. Energy drawn from battery E1 after closing the switch is :
(a) 0.03 J (b) 0.02 J (c) –0.03J (d) –0.02 J
16. Heat generated in the circuit is :
(a) 0.003 J (b) 0.002 J (c) 0.005J (d) 0.006 J
PASSAGE III : Q17 to Q18 :
S1
The capacitor C1 in the figure shown initially carries a charge q0 . When
+q R
the switches S1 and S2 are closed, capacitor C1 is connected in series to a C1
−
0
resistor R and a second capacitor C2 , which is initially uncharged. C2
S2
17. Find the charge flown through wires as a function of time.
C qo C C −t C R
(a) qo e−t / RC +
qo (b) × ⎡1 − e−t RC ⎤ (c) qo e (d) qo e − t RC
C2 C1 ⎣ ⎦ C1
CC
where C = 1 2
C1 + C2
18. Find the total heat dissipated in the circuit during the discharging process of C1 .
q0 2 qo 2 q 2 o C2 qo 2
(a) ×C (b) (c) (d)
2C12 2C 2C12 2C1C2
SECTION – IV
4. IITGuide.com - PAPER -1 - Duration 60 Minutes 4
This section contains 2 questions. Each question contains statements given in two columns
which have to be matched. The statements in column – I are labeled (A), (B), (C) and (D), while
the statements in Column-II are labeled p, q, r, and s. Any given statement in column – I can
have correct matching with ONE OR MORE statement(s) in Column – II. The appropriate
bubbles corresponding to the answers to these questions have to be darkened as illustrated
in the following example.
If the correct matches are A-p, s; B-q and r; C-p and q; and D-s; then the correct darkening of
bubbles will look like the following
p q r s
A p s
B q r
C p q
D s
19. In the given figure, coefficient of friction between the 2kg and F1
2kg rough
3kg blocks are µ S = 0.3 and µ K = 0.2 , between the 5kg and F2
3kg 5kg rough
ground are µ S = µ K = 0.1 and between 3kg and ground are
µS = µ K = 0 , (g = 10 m/s2).
COLUMN – I COLUMN − II
(A) For F1 = 0, F2 = 15 N (p) Acceleration of all blocks will be same
(B) For F1 = 6.25 N , F2 = 0 (q) Acceleration of 2kg and 3kg blocks will be different
Frictional force between 2kg and 3kg block is less than
(C) For F1 = 8 N , F2 = 10 N (r)
maximum static friction
(D) For F1 = 16 N , F2 = 9 N (s) Contact force between 3kg and 5kg block is less than 10 N.
r r ur
20. In circular motion suppose a is the acceleration of particle, v its linear velocity and w its
angular velocity. Then match the following column :
Column – I Column – II
r r
(A) a×v (p) positive
r r
(B) a⋅v (q) negative
ur r
(C) w⋅v (r) Zero
u r
r
(D) w× a (s) undefined
5. IITGuide.com - PAPER -2 Duration 60 Minutes 1
No. of
Question Type Marking Scheme Maximum Marks
Questions
4 Single Answer Type 3 marks for correct answer; −1 for wrong 12
5 Multiple Answer Type 4 marks for correct answer; −1 for wrong 20
2 marks for each correct answer; No negative
2 Matrix-Matches 16
marking
Single Digit Integer
8 4 marks for correct answer; −1 for wrong 32
Answer Type
Total = 19 Total = 80
SECTION – I
This section contains 4 multiple choice questions. Each question has 4 choices (a), (b), (c) and
(d) for its answer, out of which ONLY ONE is correct.
1. A ball is thrown from the ground to clear a wall 3 m high at a distance of 6 m and falls 18 m
away from the wall, the angle of projection of ball is :
⎛3⎞ ⎛2⎞ ⎛1⎞ ⎛3⎞
(a) tan −1 ⎜ ⎟ (b) tan −1 ⎜ ⎟ (c) tan −1 ⎜ ⎟ (d) tan −1 ⎜ ⎟
⎝2⎠ ⎝3⎠ ⎝2⎠ ⎝4⎠
2. A ball leaves a horizontal table with velocity v0 = 5 m/s . The ball v0=5m/s
bounces elastically from a vertical wall at a horizontal distance D
(= 8m) from the table, as shown in figure. The ball then strikes h=20m
the floor a distance x0 from the table (g = 10 m/s2). The value of
x0 is
x0
(a) 6 m (b) 4 m D
(c) 5 m (d) 7 m
[
3. In the given circuit diagram, find the heat generated on closing C 2C
the switch S. (initially the capacitor of capacitance C is
uncharged)
3C
3 S V
(a) CV 2 (b) CV 2
2
1
(c) CV 2 (d) none of these
2
i1 i2 2Ω 4Ω 3Ω
4. In the circuit shown in figure the ratio of currents is
(a) 2 2Ω 8Ω 1Ω
(b) 8 16V
(c) 0.5 8Ω
i2
8Ω i1
(d) 4
8V
SECTION – II
This section contains 5 multiple type questions. Each Question has 4 choices (a), (b), (c) and
(d), for its answer, out of which ONE OR MORE is/are correct.
5. Coefficient of friction between the two blocks is 0.3 whereas 2kg T1
the surface AB is smooth. (g = 10 m/s2)
(a) Acceleration of the system of masses is 5.86 ms−2 T2 3kg
(b) Tension T1 in the string is 17.7 N A B
(c) Tension T2 in the string is about 41.4 N 10kg
(d) Acceleration of 10 kg mass is 7.55 ms−2
6. IITGuide.com - PAPER -2 Duration 60 Minutes 2
6. In the circuit shown in figure, R1 = R2 = R3 = R . Switch is closed at R1
time t = 0 . Then, C
V
(a) potential difference across R2 is equal to potential difference R3
S R2
across R3 at t = ⎛
CR ⎞
⎜ ⎟ ln ( 2 )
⎝ 2 ⎠
V
(b) maximum current through R3 is
2R
V
(c) minimum current through R3 is
2R
V
(d) maximum charge stored in the capacitor is C
2
7. A force F is applied on a block of mass 2 kg as shown in figure. F
( )
g = 10m s 2 . 2Kg
(a) The force of friction when the block is moving is 8N. µs = 0.6
µk = 0.4
(b) The force of friction when the block is stationary is less than 12 N.
(c) Block will not leave contact with ground for any value of F.
(d) The force of friction when the block is moving is less than 8 N.
8. A variable voltage V = 2 t is applied across an inductor of inductance L = 2 H as shown in
figure. Then
(a) current versus time graph is a parabola 2H
(b) energy stored in magnetic field at t = 2 sec is 4 J V = 2t
(c) potential energy at time t = 1 sec in magnetic field is increasing at a rate of 1 J/s
(d) energy stored in magnetic field is zero all the time.
9. A cylinder of radius R is to roll without slipping between two planks as V
shown in the figure. Then:
v
(a) angular velocity of the cylinder is counter clockwise
R 3V
2v
(b) angular velocity of the cylinder is clockwise
R
(c) velocity of centre of mass of the cylinder is v towards left
(d) velocity of centre of mass of the cylinder is 2v towards right
SECTION – III
This section contains 2 questions. Each question contains statements given in two columns
which have to be matched. The statements in column – I are labeled (A), (B), (C) and (D), while
the statements in Column-II are labeled p, q, r, and s. Any given statement in column – I can
have correct matching with ONE OR MORE statement(s) in Column – II. The appropriate
bubbles corresponding to the answers to these questions have to be darkened as illustrated
in the following example.
If the correct matches are A-p, s; B-q and r; C-p and q; and D-s; then the correct darkening of
bubbles will look like the following
P q r s
A p s
B q r
C p q
D s
7. IITGuide.com - PAPER -2 Duration 60 Minutes 3
10. A block of mass 1 kg is placed on a rough horizontal surface of coefficient of friction µ = 0.2.
A force is applied on the block horizontally whose variation with time is shown in the figure.
F(N)
1Kg F
8
µ =0.2
2
1 t(s)
1 2 8 30
COLUMN – I COLUMN − II
(A) Velocity of particle is zero at (p) t = 1 s
(B) Acceleration of particle is non-zero at (q) t = 4 s
(C) Friction force = 1 N (r) t = 20 s
(D) Friction force ≥ F (s) t = 30 s
11. The equivalent capacitance across AB for the plates connected as shown in column I, are
given in column II. Match the items in column II with the items in column I. Area of each
plate is A unless mentioned.
Column –I Column II
A 3ε0 A
(p)
d 4d
2d
3d
(A) B
2ε0 A
d A
(q)
d 3d
B
(B)
A
ε0 A
d (r)
d 4d
B
(C) d
A
ε0 A
d (s)
2d A/2 2d
A/2
(D) B
SECTION – IV
This section contains 8 questions. The answer to each of the questions is a single-digit integer,
ranging from 0 to 9. The appropriate bubbles below the respective question numbers in the
ORS have to be darkened. For example, if the correct answers to question numbers X, Y, Z
and W (say) are 6, 0, 9 and 2, respectively, then the correct darkening of bubbles will look like
the following
X Y Z W
0 0 0 0
1 1 1 1
2 2 2 2
8. IITGuide.com - PAPER -2 Duration 60 Minutes 4
3 3 3 3
4 4 4 4
5 5 5 5
6 6 6 6
7 7 7 7
8 8 8 8
9 9 9 9
12. Find the natural frequency (in Hz) of the system as shown in the figure. The k
pulleys are massless and frictionless.
( )N
Take : k = π 2
m
and m = 1 kg m
13. A ring rolls on a horizontal surface without sliding. The velocity of the centre is v. It
encounters a step of height 0.3 R where R is the radius of the ring. Calculate the angular
velocity (in radian/second) of the ring just after the impact. Assume that the ring does not
return back. (and there is sufficient friction to avoid slipping).
m
Take : V = 6 and R = 1.7 m
s
14. The four terminal network shown in the figure consists of four A
equal resistors and is a part of a larger circuit. The points A, B r
r
r
and C are at same potential. The potential difference between A O
B D
and D is 4 volts. Find potential difference (in Volts) between O r
and D. C
1 A
15. The pressure and volume of an ideal gas are related as P ∝ 2
for a 3P0
V
process A → C as shown in the figure. The pressure and volume at A
C
is 3P0 and V0 respectively and the pressure at C is P0 . Find the work P0
done (in J) in the process A → C
( )
V0
Given that : PV0 = 3 + 3 J
0
16. A source S having a detector D moving towards a wall with a certain velocity
detects 9 beats per second. On doubling the velocity of the source, the detector D
205
detects 20 beats per second. The original frequency of sound source is . Find S
x
value of x. Take speed of sound as 330 m/s.
17. A ball is projected normally from point P (which is on an inclined plane) with 90°
Q
speed u. It strikes the vertical wall normally. If all the collisions are perfectly P 90°
elastic, then find the time period (in seconds) of periodic motion. 45°
m m
Given : u = 10 2 , g = 10 2
s s
9. IITGuide.com - PAPER -2 Duration 60 Minutes 5
g
18. The magnitude of acceleration of M is . Find the value of x. Given that
x
M
= 2. M
m m
19. The block of mass ‘m’ initially at x = 0 is acted upon by a
horizontal force F = a − bx as shown in the figure. The coefficient
F
of friction between the surfaces of contact is µ. The net work done
x=0
on the block is zero. The distance traveled by the block before x
stopping is x/5 m. Find value of x.
m
Take : a=1N,b=1N/m,µ = 0.3, g = 10 2 and m = 0.1 Kg
s