This document contains a 29 question sample physics exam for Class XI. It provides general instructions, including that questions 1-8 are worth 1 mark each, questions 9-16 are worth 2 marks each, questions 17-25 are worth 3 marks each, questions 26-29 are worth 5 marks each except for question 26 which is worth 4 marks. It also lists several physical constants that may be needed and provides sample exam questions testing concepts related to kinematics, forces, energy, momentum, properties of gases, and other physics topics.
Grab CBSE sample paper for class 11 Physics & practice diligently to secure apt marks. Download the free PDF now & join Studymate to accentuate your graph. Visit http://www.studymateonline.com/sample-papers/cbse-sample-papers-for-class-11-physics/
Grab CBSE sample paper for class 11 Physics & practice diligently to secure apt marks. Download the free PDF now & join Studymate to accentuate your graph. Visit http://www.studymateonline.com/sample-papers/cbse-sample-papers-for-class-11-physics/
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AIPMST (Primary)- All India Pre Medical Scholarship Examination Test 2018, Full Syllabus and Sample Question Papers as (Physics, Chemistry and Biology) in Below Document.
For more info: https://aipmstprimary.co.in
AIPMST (Secondary) is Releasing Sample Question paper for study MBBS & BDS Aspirants.
AIPMST (Secondary) consists of four sections - Physics, Chemistry, Biology and English Proficiency & Logical Reasoning. There will be 50 questions in each section and each question carrying four marks. The questions will be of objective type for medical courses (MBBS, BDS). Candidates must use BLACK BALL POINT PEN only for filling up the OMR sheet. The mode of examination will be offline and the medium of examination will be English.
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APEX INSTITUTE was conceptualized in May 2008, keeping in view the dreams of young students by the vision & toil of Er. Shahid Iqbal. We had a very humble beginning as an institute for IIT-JEE / Medical, with a vision to provide an ideal launch pad for serious JEE students . We actually started to make a difference in the way students think and approach problems.
APEX INSTITUTE was conceptualized in May 2008, keeping in view the dreams of young students by the vision & toil of Er. Shahid Iqbal. We had a very humble beginning as an institute for IIT-JEE / Medical, with a vision to provide an ideal launch pad for serious JEE students . We actually started to make a difference in the way students think and approach problems.
11th Physics, Chemistry, Mathematics paper for school's final Exam 2015APEX INSTITUTE
APEX INSTITUTE has been established with sincere and positive resolve to do something rewarding for ENGG. / PRE-MEDICAL aspirants. For this the APEX INSTITUTE has been instituted to provide a relentlessly motivating and competitive atmosphere.
Physics 226 Fall 2013 Problem Set #1 NOTE Sh.docxrandymartin91030
Physics 226
Fall 2013
Problem Set #1
NOTE: Show ALL work and ALL answers on a piece of separate loose leaf paper, not on this sheet.
Due on Thursday, August 29th
1) Skid and Mitch are pushing on a sofa in opposite
directions with forces of 530 N and 370 N respectively.
The mass of the sofa is 48 kg. The sofa is initially at rest
before it accelerates. There is no friction acting on the
sofa. (a) Calculate the acceleration of the sofa. (b) What
velocity does the sofa have after it moves 2.5 m? (c) How
long does it take to travel 2.5 m?
2) You have three force
vectors acting on a
mass at the origin.
Use the component
method we covered
in lecture to find
the magnitude and
direction of the re-
sultant force acting
on the mass.
3) You have three force
vectors acting on a
mass at the origin.
Use the component
method we covered
in lecture to find
the magnitude and
direction of the re-
sultant force acting on
the mass.
4) A bowling ball rolls off of a table that is 1.5 m tall. The
ball lands 2.5 m from the base of the table. At what speed
did the ball leave the table?
5) Skid throws his guitar up
into the air with a velocity
of 45 m/s. Calculate the
maximum height that the
guitar reaches from the point
at which Skid let’s go of the
guitar. Use energy methods.
6)
A beam of mass 12 kg and length 2 m is attached to a
hinge on the left. A box of 80 N is hung from the beam
50 cm from the left end. You hold the beam horizontally
with your obviously powerful index finger. With what
force do you push up on the beam?
7) The tennis ball of mass 57 g which
you have hung in your garage that
lets you know where to stop your
car so you don’t crush your garbage
cans is entertaining you by swinging
in a vertical circle of radius 75 cm.
At the bottom of its swing it has a
speed of 4 m/s. What is the tension
in the string at this point?
Mitch Sofa Skid
y
F2 = 90 N
F1 = 40 N 35
8) Derivatives:
a) Given: Lx2Lx4y 22 , find
dx
dy
.
b) Given:
Lx2
Lx2lny , find
dx
dy
.
9) Integrals:
a) Given:
o
o
45
45
d
r
cosk
, evaluate.
b) Given:
R
0 2322
dr
xr
kx , evaluate.
ANSWERS:
1) a) 3.33 m/s2
b) 4.08 m/s
c) 1.23 s
2) 48.0 N, 61.0º N of W
3) 27.4 N, 16.1º S of E
4) 4.5s m/s
5) 103.3 m
6) 78.8 N
7) 1.78N
8) a) 24x2 + 8xL – 4L
b) 22 x4L
L4
9) a)
r
k2
b)
22 xR
x1k2
45 x
F3 = 60 N
y
F2 = 65 N
F1 = 45 N 60
50 x
70
F3 = 60 N
Guitar
Skid
Physics 226
Fall 2013
Problem Set #2
1) A plastic rod has a charge of –2.0 C. How many
electrons must be removed so that the charge on the rod
becomes +3.0C?
–
+
+
+
2)
Three identical metal spheres, A, B, and C initially have
net charges as shown. The “q” .
Assignment 3 (CH. 7-9)
Chapter 7
Questions (use complete sentences)
1) What is an electric field? Sketch the shape of the electric field around a single proton.
2) If a uniform electric field is pointing east, what is the direction of the force on an electron? What is the direction of force on a positive particle?
3) If electrons are flowing counter clock wise in a circuit, which way is the conventional current flowing?
4) Explain what current, voltage, and resistance are?
5) Describe the differences between circuits with resistors connected in series vs. parallel.
Problems (show your work)
1) Two charged particles exert an electrical force of 16 N on each other. What will the magnitude of the force be if the distance between them is reduced by half? What if the distance is doubled?
2) What would the separation between two particles each with a charge of 1 C have to be so that they each feel a force of 1 N.
3) A particle with a charge of 2.0 x 10-6 C experiences an upward force of 8N. What is the magnitude and direction of the electric field at that point? What if the charge was negative?
4) During 30 second of use, 250 C of charge flow through a microwave over. What is the current?
5) A current of 12 A flows through an electric heater operating on 120 V. What is the heater’s resistance?
6) The resistance of each brake light on an automobile is 6.6 Ω. Use the fact that cars have 12 V electrical systems to calculate the current that flows through each bulb.
7) An electric eel can generate a 400 V, 0.5 A shock for stunning its prey. What is the eel’s power output?
8) A clock consumes 2 W of electrical power. How much energy does it use each day?
Challenge (show work)
1) Three particles each with a charge of 2.5 x 10-6 C are located on the x-axis. There coordinates are (0,0), (2,0), and (6,0). What is the magnitude and direction of the electrical force on the particle located at (2,0)?
Chapter 8
Questions (use complete sentences)
1) Sketch the shape of the magnetic field around a bar magnet.
2) List the main type of electromagnetic waves in order of increasing frequency.
3) How does the radiation emitted by a black body change as its temperature increases?
4) What does a transformer do?
5) What are the three observations of magnetism talked about in class?
Problems (show work)
1) A cell phone charger is a transformer that reduces 120 V to 5V. For each 1,000 turns in the input coil, how many turns are there in the output coil?
2) What is the wavelength of a 60,000 Hz radio wave?
3) A transformer has an input coil of 2,000 turns, and an output coil of 500 turns. If 120 V is connected to the input coil how much voltage will it output?
4) Compute the frequency of an EM wave with a wavelength of 0.0542 m.
5) How much more energy would a black body radiate at 900 K vs 300 K?
6) What wavelength of light do humans mostly radiate if the human body temperature is 310 K?
Chapter 9
Questions (use complete sentences)
1) .
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AIPMST (Primary)- All India Pre Medical Scholarship Examination Test 2018, Full Syllabus and Sample Question Papers as (Physics, Chemistry and Biology) in Below Document.
For more info: https://aipmstprimary.co.in
AIPMST (Secondary) is Releasing Sample Question paper for study MBBS & BDS Aspirants.
AIPMST (Secondary) consists of four sections - Physics, Chemistry, Biology and English Proficiency & Logical Reasoning. There will be 50 questions in each section and each question carrying four marks. The questions will be of objective type for medical courses (MBBS, BDS). Candidates must use BLACK BALL POINT PEN only for filling up the OMR sheet. The mode of examination will be offline and the medium of examination will be English.
for more info:https://aipmstsecondary.co.in/
APEX INSTITUTE was conceptualized in May 2008, keeping in view the dreams of young students by the vision & toil of Er. Shahid Iqbal. We had a very humble beginning as an institute for IIT-JEE / Medical, with a vision to provide an ideal launch pad for serious JEE students . We actually started to make a difference in the way students think and approach problems.
APEX INSTITUTE was conceptualized in May 2008, keeping in view the dreams of young students by the vision & toil of Er. Shahid Iqbal. We had a very humble beginning as an institute for IIT-JEE / Medical, with a vision to provide an ideal launch pad for serious JEE students . We actually started to make a difference in the way students think and approach problems.
11th Physics, Chemistry, Mathematics paper for school's final Exam 2015APEX INSTITUTE
APEX INSTITUTE has been established with sincere and positive resolve to do something rewarding for ENGG. / PRE-MEDICAL aspirants. For this the APEX INSTITUTE has been instituted to provide a relentlessly motivating and competitive atmosphere.
Physics 226 Fall 2013 Problem Set #1 NOTE Sh.docxrandymartin91030
Physics 226
Fall 2013
Problem Set #1
NOTE: Show ALL work and ALL answers on a piece of separate loose leaf paper, not on this sheet.
Due on Thursday, August 29th
1) Skid and Mitch are pushing on a sofa in opposite
directions with forces of 530 N and 370 N respectively.
The mass of the sofa is 48 kg. The sofa is initially at rest
before it accelerates. There is no friction acting on the
sofa. (a) Calculate the acceleration of the sofa. (b) What
velocity does the sofa have after it moves 2.5 m? (c) How
long does it take to travel 2.5 m?
2) You have three force
vectors acting on a
mass at the origin.
Use the component
method we covered
in lecture to find
the magnitude and
direction of the re-
sultant force acting
on the mass.
3) You have three force
vectors acting on a
mass at the origin.
Use the component
method we covered
in lecture to find
the magnitude and
direction of the re-
sultant force acting on
the mass.
4) A bowling ball rolls off of a table that is 1.5 m tall. The
ball lands 2.5 m from the base of the table. At what speed
did the ball leave the table?
5) Skid throws his guitar up
into the air with a velocity
of 45 m/s. Calculate the
maximum height that the
guitar reaches from the point
at which Skid let’s go of the
guitar. Use energy methods.
6)
A beam of mass 12 kg and length 2 m is attached to a
hinge on the left. A box of 80 N is hung from the beam
50 cm from the left end. You hold the beam horizontally
with your obviously powerful index finger. With what
force do you push up on the beam?
7) The tennis ball of mass 57 g which
you have hung in your garage that
lets you know where to stop your
car so you don’t crush your garbage
cans is entertaining you by swinging
in a vertical circle of radius 75 cm.
At the bottom of its swing it has a
speed of 4 m/s. What is the tension
in the string at this point?
Mitch Sofa Skid
y
F2 = 90 N
F1 = 40 N 35
8) Derivatives:
a) Given: Lx2Lx4y 22 , find
dx
dy
.
b) Given:
Lx2
Lx2lny , find
dx
dy
.
9) Integrals:
a) Given:
o
o
45
45
d
r
cosk
, evaluate.
b) Given:
R
0 2322
dr
xr
kx , evaluate.
ANSWERS:
1) a) 3.33 m/s2
b) 4.08 m/s
c) 1.23 s
2) 48.0 N, 61.0º N of W
3) 27.4 N, 16.1º S of E
4) 4.5s m/s
5) 103.3 m
6) 78.8 N
7) 1.78N
8) a) 24x2 + 8xL – 4L
b) 22 x4L
L4
9) a)
r
k2
b)
22 xR
x1k2
45 x
F3 = 60 N
y
F2 = 65 N
F1 = 45 N 60
50 x
70
F3 = 60 N
Guitar
Skid
Physics 226
Fall 2013
Problem Set #2
1) A plastic rod has a charge of –2.0 C. How many
electrons must be removed so that the charge on the rod
becomes +3.0C?
–
+
+
+
2)
Three identical metal spheres, A, B, and C initially have
net charges as shown. The “q” .
Assignment 3 (CH. 7-9)
Chapter 7
Questions (use complete sentences)
1) What is an electric field? Sketch the shape of the electric field around a single proton.
2) If a uniform electric field is pointing east, what is the direction of the force on an electron? What is the direction of force on a positive particle?
3) If electrons are flowing counter clock wise in a circuit, which way is the conventional current flowing?
4) Explain what current, voltage, and resistance are?
5) Describe the differences between circuits with resistors connected in series vs. parallel.
Problems (show your work)
1) Two charged particles exert an electrical force of 16 N on each other. What will the magnitude of the force be if the distance between them is reduced by half? What if the distance is doubled?
2) What would the separation between two particles each with a charge of 1 C have to be so that they each feel a force of 1 N.
3) A particle with a charge of 2.0 x 10-6 C experiences an upward force of 8N. What is the magnitude and direction of the electric field at that point? What if the charge was negative?
4) During 30 second of use, 250 C of charge flow through a microwave over. What is the current?
5) A current of 12 A flows through an electric heater operating on 120 V. What is the heater’s resistance?
6) The resistance of each brake light on an automobile is 6.6 Ω. Use the fact that cars have 12 V electrical systems to calculate the current that flows through each bulb.
7) An electric eel can generate a 400 V, 0.5 A shock for stunning its prey. What is the eel’s power output?
8) A clock consumes 2 W of electrical power. How much energy does it use each day?
Challenge (show work)
1) Three particles each with a charge of 2.5 x 10-6 C are located on the x-axis. There coordinates are (0,0), (2,0), and (6,0). What is the magnitude and direction of the electrical force on the particle located at (2,0)?
Chapter 8
Questions (use complete sentences)
1) Sketch the shape of the magnetic field around a bar magnet.
2) List the main type of electromagnetic waves in order of increasing frequency.
3) How does the radiation emitted by a black body change as its temperature increases?
4) What does a transformer do?
5) What are the three observations of magnetism talked about in class?
Problems (show work)
1) A cell phone charger is a transformer that reduces 120 V to 5V. For each 1,000 turns in the input coil, how many turns are there in the output coil?
2) What is the wavelength of a 60,000 Hz radio wave?
3) A transformer has an input coil of 2,000 turns, and an output coil of 500 turns. If 120 V is connected to the input coil how much voltage will it output?
4) Compute the frequency of an EM wave with a wavelength of 0.0542 m.
5) How much more energy would a black body radiate at 900 K vs 300 K?
6) What wavelength of light do humans mostly radiate if the human body temperature is 310 K?
Chapter 9
Questions (use complete sentences)
1) .
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
1. 1
1
CBSE Board
Class XI Physics
Sample Paper-1
Time: - 3 Marks: - 70 Marks
General Instructions
(a) All questions are compulsory.
(b) There are 29 questions in total. Questions 1 to 8 carry one mark each, questions 9 to
16 carry two marks each, questions 17 to 25 carry three marks each and questions
27 to 29 carry five marks each.
(c) Question 26 is a value based question carrying four marks.
(d) There is no overall choice. However, an internal choice has been provided in one
question of two marks, one question of three marks and all three questions of five
marks each. You have to attempt only one of the given choices in such questions.
(e) Use of calculator is not permitted.
(f) You may use the following physical constants wherever necessary.
19
8 1
34
7 2
23 1
23
27
1.6 10
3 10
6.6 10
4 10
1.38 10
6.023 10 /
1.6 10
o
B
A
n
N
e C
c ms
h JS
A
k JK
N mole
m kg
1. Will the momentum remain constant if some external force acts on the system? (1)
2. The Earth moving round the Sun in a circular orbit is acted upon by a force, and hence
work must be done on the Earth by this force. Do you agree with this statement? (1)
3. Suppose a cyclist is negotiating a curve of radius r with speedv . Write the conditions
under which skidding will occur. (1)
4. Why does a cricket player lower his hands while catching a ball? (1)
5. Why do small bubbles have excess of pressure? (1)
2. 2
6. Which of the following processes shown here is reversible? Name the other process.
(1)
7. Can a simple pendulum experiment be conducted inside a satellite? (1)
8. Water in a closed tube is heated with one arm vertically placed above an arc lamp. The
water will begin to circulate along the tube in the counter – clockwise direction. Is it
true or false? (1)
9. The acceleration- time graph for a body is shown in the given figure. Plot the
corresponding velocity-time graph. (2)
3. 3
10.A body of mass 5 kg is acted upon by two perpendicular forces of magnitude 8 N and 6
N. Find the magnitude and direction of the acceleration. (2)
11.A ball is dropped vertically from rest at a height of 12 m. After striking the ground, it
bounces to a height of 9 m. What fraction of kinetic energy does it loose on striking the
ground? (2)
12.If the angular momentum is conserved in a system whose moment of inertia is
decreased. Will its rotational kinetic energy be also conserved? (2)
13.Assuming that the Earth’s orbit is a circle of radius 8
1.5 10 km . Calculate the mass of
the sun. (2)
OR
The change in the value of g at a height h above the Earth is same as at a depth d below
it. If h and d are compared to the radius of the earth. What is the ratio h d ? (2)
14.
(i) Distinguish between an isothermal and an adiabatic process.
(ii) Distinguish between an isochoric and isobaric processes. (2)
15.A person is measuring the velocity of sound in an experiment. He found that velocity of
sound increases by 61 cm/s for every o
1 C. Show this mathematically. (2)
16.A waterfall is 100 m high. How much warmer will the water be after the fall? Assume
that all the work gets converted into the heat energy. Take the average value of g to be
2
980 .cm s (2)
17.It has been suggested that for liquids 3 4
,s K is a constant, with s being the surface
tension and the compressibility, show that K is not a dimensionless constant. (3)
18.It is easier to pull a lawn roller than to push it. Explain using the resolution of forces.
(3)
19.A long playing record revolves with a speed of
1
33 rev/ min,
3
and has a radius of 15 cm.
Two coins are placed at 4 cm and 14 cm away from the centre of the record. If the
coefficient of friction between the coins and the record is 0.15. Which of the two coins
will revolve with the record? (3)
20.A car drives along the straight level frictionless road by an engine delivering constant
power. How is velocity of the car related to time elapsed? (3)
4. 4
21.Prove that the impulse received during an impact is equal to the total change in
momentum produced during the impact. (3)
22.While approaching a planet circling a distant star, a space traveller determines the
planet’s radius to be half that of the Earth. After landing on the surface he finds the
acceleration due to gravity to be twice that on the surface of the Earth. Find the ratio of
the mass of the planet to that of the Earth. (3)
23.Oil spreads over the surface of water, whereas water does not spread over the surface
of oil. Why? (3)
24.Two vessels of the same size are at the same temperature. One of them holds 1 kg of 2N
gas and the other contains 1 kg of H2 gas.
(i) Which of the vessels contains more molecules?
(ii) Which of the vessels is under greater pressure and why?
(iii) In which vessel is the average molecular speed greater? How many times is it
greater? (3)
25.State the law of equipartition of energy. Show that the ratio of specific heat at constant
pressure to specific heat at constant volume is 7/5 for a rigid diatomic molecule. (3)
26.An old woman crossing the road was holding a purse. She was not able to walk. A pick
pocket snatched away her purse. A school student of class XI saw this and tried to help
the old lady. He informed the police inspector who stood nearby. The inspector chased
the pick pocket, collected the purse from him and handed it over to the old lady.
(a) What values do you find in the school student?
(b) The police inspector is chasing the pickpocket on a straight road. The jeep is going at
its maximum speed v. The pickpocket rides on a motorcycle when the jeep is at a
distance d away and the motorcycle moves with a constant acceleration a. Show that
the pickpocket will be caught if v 2ad . (4)
5. Sample Paper 1
27.A particle is thrown over a triangle from one end of a horizontal base that grazing the
vertex falls on the other end of the base. If and be the base angles and the angle
of projection, prove that tan tan tan (5)
OR
(a) A balloon is ascending at the rate of 14 ms-1 at a height of 98 m above the ground,
when a packet is dropped from it. After how much time and with what velocity does
it reach the ground?
(b) Do the following two graphs represent same types of motion? Name the motion.
(5)
28.
(i) Prove that the isothermal elasticity of a gas is equal to its pressure.
(ii) Prove that the adiabatic elasticity of the gas = P , where P is pressure of the gas
and / , andp v p vC C C C being the specific heats of the gas at constant pressure and
constant volume respectively. (5)
OR
The difference between the length of a certain brass rod and that of steel rod is claimed
to be constant at all temperatures. Is it possible? (5)
29.If the earth were a homogeneous sphere and a straight hole bored in it through its
center. Show that if a body were dropped into the hole, it would execute a simple
harmonic motion. Also find its time period. (5)
OR
(i) Derive an expression for finding the velocity of an approaching aeroplane using
radar waves.
(ii) An ultrasonic wave of frequency 45, 000 Hz sent out by sonar shows a frequency
rise of 600 Hz on reflection from an approaching submarine. If the velocity of sound
in water is 1500 ms-1. Calculate the speed of the submarine. (5)