Are these practice questions for Oscillations based on the CBSE pattern?

Yes. Every practice question is modeled on the CBSE Class 11 - Science Physics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Oscillations free?

Yes. Every chapter includes free practice questions for Class 11 - Science students to get you started.

What types of questions are included?

The practice set for Oscillations mainly includes MCQs and CBSE-style short-answer questions, with instant feedback on each answer. For full-length textbook practice, use the NCERT Solutions page.

Are the practice questions suitable for board exam preparation?

Yes. The questions test the same concepts and depth that CBSE asks in board exams. After finishing, also solve the NCERT and NCERT Exemplar exercises for Oscillations for full coverage.

How many practice questions are there for Oscillations?

The number scales with chapter length and concept density. Each chapter typically has 15-50 practice questions across MCQ and short-answer formats.

Oscillations Class 11 Physics Practice Questions with Answers

easy

A student claims that two SHMs described by

x_1(t) = A \cos(\omega t)

and

x_2(t) = A \sin(\omega t)

are fundamentally different types of motion. Justify why this claim is incorrect.

Try solving it in your notebook first, then check the solution.

easy

A human heart is found to beat 75 times in one minute. Recall the formulas for frequency and period, and find their values.

Try solving it in your notebook first, then check the solution.

easy

Name the physical quantity that remains constant in the simple harmonic motion of an undamped oscillator.

Try solving it in your notebook first, then check the solution.

easy

State the mathematical relationship between the period (

T

) and frequency (

v

) of an oscillation.

Try solving it in your notebook first, then check the solution.

easy

Critique the statement: "Any motion that repeats itself is simple harmonic." Justify your evaluation with at least two distinct examples.

Try solving it in your notebook first, then check the solution.

easy

Apply the formula for the period of a simple pendulum to calculate the length required for it to have a period of exactly

1

second on Earth (

g = 9.8 \text{ m/s}^2

).

Try solving it in your notebook first, then check the solution.

easy

A particle is in SHM. Propose a method to double its total energy without changing the oscillating mass or the spring constant. Justify your proposal.

Try solving it in your notebook first, then check the solution.

easy

Define periodic motion and provide one example from daily life.

Try solving it in your notebook first, then check the solution.

easy

Examine the following force laws, where

k

is a positive constant and

x

is displacement. Which of them describes simple harmonic motion? (a)

F = -kx^2

(b)

F = -kx + kx^3

(c)

F = -kx

.

Try solving it in your notebook first, then check the solution.

easy

Calculate the angular frequency of an oscillator consisting of a

0.5

kg mass attached to a spring with a spring constant of

50 \text{ N/m}

.

Try solving it in your notebook first, then check the solution.

easy

Identify the position(s) in simple harmonic motion where the potential energy of the oscillator is zero.

Try solving it in your notebook first, then check the solution.

medium

Compare the phase relationship between displacement, velocity, and acceleration for a particle in simple harmonic motion described by

x(t) = A \cos(\omega t)

.

Try solving it in your notebook first, then check the solution.

medium

Design an experiment to verify the conservation of mechanical energy for a block oscillating on a horizontal spring. Propose measurements you would take and how you would use them to evaluate the constancy of total energy.

Try solving it in your notebook first, then check the solution.

medium

Analyze the function

f(t) = \sin^2(\omega t)

. Determine if it represents (a) simple harmonic motion or (b) periodic but not simple harmonic motion. Justify your answer and state its period.

Try solving it in your notebook first, then check the solution.

medium

Explain the difference between periodic motion and oscillatory motion. Give one example for each.

Try solving it in your notebook first, then check the solution.

medium

Evaluate the points in an SHM cycle where the velocity is maximum and the acceleration is zero, and vice versa. Justify the phase relationship between displacement, velocity, and acceleration.

Try solving it in your notebook first, then check the solution.

medium

Explain how the kinetic energy and potential energy of a particle executing SHM change during one oscillation. What can you say about the total mechanical energy?

Try solving it in your notebook first, then check the solution.

medium

Contrast the two representations of SHM:

x_1(t) = A \cos(\omega t)

and

x_2(t) = A \sin(\omega t)

. Analyze the difference in their initial conditions (position and velocity at

t=0

) and their phase relationship.

Try solving it in your notebook first, then check the solution.

medium

Recall the force law for Simple Harmonic Motion. Explain the significance of the negative sign in the expression.

Try solving it in your notebook first, then check the solution.

medium

Critique the result of a student who plots acceleration (

a

) versus displacement (

x

) for an oscillator and gets a straight line passing through the origin with a positive slope. Explain what the correct relationship should be for SHM.

Try solving it in your notebook first, then check the solution.

medium

A particle undergoes Simple Harmonic Motion (SHM) described by the equation

x(t) = A \cos(\omega t + \phi)

. Identify and describe the physical meaning of the quantities

A

,

\omega

, and

(\omega t + \phi)

.

Try solving it in your notebook first, then check the solution.

medium

A body oscillates with SHM according to the equation

x = 4 \cos(3\pi t + \pi/3)

, where

x

is in meters and

t

is in seconds. At

t = 0.5

s, calculate the (a) displacement, (b) velocity, and (c) acceleration of the body.

Try solving it in your notebook first, then check the solution.

medium

Calculate the period and frequency of a particle executing simple harmonic motion described by the equation

x(t) = 0.05 \cos(100\pi t + \pi/6)

, where

x

is in meters and

t

is in seconds.

Try solving it in your notebook first, then check the solution.

medium

Formulate a mathematical function for a motion that is periodic but not simple harmonic, and justify your reasoning.

Try solving it in your notebook first, then check the solution.

medium

Summarize the key differences between oscillations and vibrations.

Try solving it in your notebook first, then check the solution.

medium

What is the length of a simple pendulum that ticks seconds? (A 'seconds pendulum' has a period of 2 seconds). Recall the formula and find the length. Use

g = 9.8 \text{ m/s}^2

and

\pi^2 \approx 9.8

.

Try solving it in your notebook first, then check the solution.

medium

Design an experimental setup to demonstrate that the projection of uniform circular motion onto a diameter is SHM. Propose a method to measure the amplitude and period from this setup.

Try solving it in your notebook first, then check the solution.

medium

Evaluate the claim that the kinetic energy and potential energy of a particle in SHM have the same period as the oscillation itself. Justify your conclusion mathematically.

Try solving it in your notebook first, then check the solution.

medium

Two systems are proposed for an oscillator: (A) a mass

m

attached to a single spring of constant

k

, and (B) the same mass

m

attached between two identical springs, each of constant

k

, fixed to rigid supports. Evaluate which system will have a higher frequency of oscillation and justify your answer quantitatively.

Try solving it in your notebook first, then check the solution.

medium

Justify what the period of oscillation of a simple pendulum would be if it were taken inside a satellite orbiting the Earth.

Try solving it in your notebook first, then check the solution.

medium

A particle performs uniform circular motion with a radius of

3

m and a period of

2

s. The motion is counter-clockwise, and at

t=0

, the particle is at the positive x-axis. Analyze this motion to find the equation for the simple harmonic motion of its projection on the y-axis.

Try solving it in your notebook first, then check the solution.

medium

Describe the relationship between uniform circular motion and simple harmonic motion.

Try solving it in your notebook first, then check the solution.

medium

You are tasked to design a pendulum clock that has a period of

2

s on Mars, where the acceleration due to gravity is

g_{Mars} = 3.71 \text{ m/s}^2

. Formulate the required length of the pendulum.

Try solving it in your notebook first, then check the solution.

hard

A simple pendulum has a period of

2.0

s on Earth where

g = 9.8 \text{ m/s}^2

. Calculate its period on the surface of Mars, where the acceleration due to gravity is

3.7 \text{ m/s}^2

. Analyze how the change in gravity affects the pendulum's period.

Try solving it in your notebook first, then check the solution.

hard

A block of mass

2

kg is attached to a spring with a spring constant of

200 \text{ N/m}

. It is displaced by

10

cm from its equilibrium position and released. Calculate the kinetic energy, potential energy, and total energy of the block when it is at a displacement of

5

cm from the mean position.

Try solving it in your notebook first, then check the solution.

hard

Propose a modification to the standard mass-spring system (where

F = -kx

) that would result in non-linear oscillations. Justify why your proposed modification leads to a non-SHM behavior.

Try solving it in your notebook first, then check the solution.

hard

Describe the velocity and acceleration of a particle in SHM. Explain the phase relationship between displacement, velocity, and acceleration.

Try solving it in your notebook first, then check the solution.

hard

A particle executing SHM has an angular frequency of

2

rad/s. At time

t=0

, its position is

x(0) = 2

cm and its velocity is

v(0) = -4

cm/s. Solve for the amplitude

A

and the initial phase constant

\phi

for the motion described by

x(t) = A \cos(\omega t + \phi)

.

Try solving it in your notebook first, then check the solution.

hard

Examine the conservation of energy in simple harmonic motion. Describe how kinetic energy (

K

) and potential energy (

U

) vary with displacement (

x

) from the equilibrium position, and demonstrate that the total mechanical energy (

E

) remains constant.

Try solving it in your notebook first, then check the solution.

hard

Two identical springs, each with spring constant

k

, are attached to a block of mass

m

and fixed supports as shown in Fig. 13.14. Demonstrate that for a small displacement

x

from the equilibrium position, the net force is a restoring force characteristic of SHM, and calculate the period of oscillation.

Try solving it in your notebook first, then check the solution.

hard

Recall the formula for the time period of a simple pendulum. Summarize the key assumption made for its motion to be considered simple harmonic.

Try solving it in your notebook first, then check the solution.

hard

List the two equivalent ways to define Simple Harmonic Motion.

Try solving it in your notebook first, then check the solution.

hard

Formulate the equation for the SHM of a particle whose motion is the x-projection of a reference particle moving in a circle of radius

5

cm with a period of

2

s, starting from the point

(0, 5)

cm and moving clockwise.

Try solving it in your notebook first, then check the solution.

hard

Critique the formula for the period of a simple pendulum,

T = 2\pi\sqrt{L/g}

, which uses the approximation

\sin\theta \approx \theta

. Predict whether the actual period for large-amplitude oscillations (e.g.,

\theta = 45^\circ

) would be longer or shorter than the value from this formula and justify your prediction.

Try solving it in your notebook first, then check the solution.

OscillationsClass 11 Physics Practice Questions