Simple Harmonic Motion MSQ

# Simple Harmonic Motion MSQ

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## 10 Questions MCQ Test Topic wise Tests for IIT JAM Physics | Simple Harmonic Motion MSQ

Simple Harmonic Motion MSQ for IIT JAM 2022 is part of Topic wise Tests for IIT JAM Physics preparation. The Simple Harmonic Motion MSQ questions and answers have been prepared according to the IIT JAM exam syllabus.The Simple Harmonic Motion MSQ MCQs are made for IIT JAM 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Simple Harmonic Motion MSQ below.
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*Multiple options can be correct
Simple Harmonic Motion MSQ - Question 1

### The force which does not describe a simple harmonic motion is

Detailed Solution for Simple Harmonic Motion MSQ - Question 1

The force which describe a simple harmonic motion is a second order linear differential equation

Second-order linear differential equations have a variety of applications in science and engineering.

*Multiple options can be correct
Simple Harmonic Motion MSQ - Question 2

### Choose the correct statements for the case of a one dimensional simple harmonic motion.

Detailed Solution for Simple Harmonic Motion MSQ - Question 2

The correct answers are: Force is a negative gradient of the potential, The points at which the gradient of potential are the points of stable equilibrium, The points with a negative gradient of the potential are the points of unstable equilibrium

*Multiple options can be correct
Simple Harmonic Motion MSQ - Question 3

### Select the correct options

Detailed Solution for Simple Harmonic Motion MSQ - Question 3

The period for a simple pendulum does not depend on the mass or the initial anglular displacement, but depends only on the length L of the string and the value of the gravitational field strength g.

So the correct answers are: The time period of two simple pendulum with different masses can be same, The time period of the simple pendulum depends only on length

*Multiple options can be correct
Simple Harmonic Motion MSQ - Question 4

The physical condition for simple harmonic motion is/are

Detailed Solution for Simple Harmonic Motion MSQ - Question 4

The correct answers are: restoring force must be proportional to displacement with negative sign, existence of point of stable equilibrium, presence of inertia

*Multiple options can be correct
Simple Harmonic Motion MSQ - Question 5

For a particular case of simple harmonic motion the total energy

Detailed Solution for Simple Harmonic Motion MSQ - Question 5

The correct answer is: Is a constant because the kinetic energy & potential energy at any point add upto a constant value.

Simple Harmonic Motion MSQ - Question 6

Select the correct options for a particle undergoing simple harmonic motion

Detailed Solution for Simple Harmonic Motion MSQ - Question 6

Let x=Asinωt
Then, v=dx/dt=Aωcos(ωt)
K.E.= 1/2mv2
Average kinetic energy is 1/T∫(T to 0)1/2mv2dt=1/4mA2ω2
Average potential energy is

1/T∫(T to 0)  1/2kx2dt=  1/4mA2ω2

The correct answer is option D.

*Multiple options can be correct
Simple Harmonic Motion MSQ - Question 7

Choose the correct option for Lissajous figures :

Detailed Solution for Simple Harmonic Motion MSQ - Question 7

The correct answers are: Lissajous figure is the path traced by a particle when acted upon by two mutually perpendicular SHMs simultaneously, The figure depends is an ellipse in general when the two frequencies are same

*Multiple options can be correct
Simple Harmonic Motion MSQ - Question 8

Velocity of a particle undergoing simple harmonic motion is

Detailed Solution for Simple Harmonic Motion MSQ - Question 8

The correct answers are: varies with time, maximum at x = 0 and minimum at the extreme positions of the oscillations.

Simple Harmonic Motion MSQ - Question 9

The periodic time (tp) is given by

Detailed Solution for Simple Harmonic Motion MSQ - Question 9

Periodic time is the time taken for one complete revolution of the particle.

∴ Periodic time, tp = 2 π/ω seconds.

Simple Harmonic Motion MSQ - Question 10

When a rigid body is suspended vertically and it oscillates with a small amplitude under the action of the force of gravity, the body is known as

Detailed Solution for Simple Harmonic Motion MSQ - Question 10

When a rigid body is suspended vertically, and it oscillates with a small amplitude under the action of the force of gravity, the body is known as compound pendulum. Thus the periodic time of a compound pendulum is minimum when the distance between the point of suspension and the centre of gravity is equal to the radius of gyration of the body about its centre of gravity.

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