Simple Harmonic Motion PYQs - Last 5 Years

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All Simple Harmonic Motion PYQs Last 10 Years Create chapter test

Practice 80 JEE Main Physics questions from Simple Harmonic Motion. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 5 Years Simple Harmonic Motion Questions

Showing 30 of 80 filtered questions.

1Simple Harmonic Motion

A particle executes simple harmonic motion between \(x=-A\) and \(x=+A\). If time taken by particle to go from \(x=0\) to \(\frac{A}{2}\) is 2 s; then time taken by particle in going from \(x=\frac{A}{2}\) to A is

2Simple Harmonic Motion

A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure). When the mass is displaced...

INTEGER+4 / -12023

3Simple Harmonic Motion

A mass m attached to free end of a spring executes SHM with a period of 1s. If the mass is increased by 3 kg the period of the oscillation increases by one second, the value of mass m is ___________ kg.

INTEGER+4 / -12023

4Simple Harmonic Motion

The amplitude of a particle executing SHM is \(3 \mathrm{~cm}\). The displacement at which its kinetic energy will be \(25 \%\) more than the potential energy is: __________ \(\mathrm{cm}\)

INTEGER+4 / -12023

5Simple Harmonic Motion

Choose the correct length (L) versus square of the time period (\(\mathrm{T}^{2}\)) graph for a simple pendulum executing simple harmonic motion.

6Simple Harmonic Motion

In a linear Simple Harmonic Motion (SHM)

(A) Restoring force is directly proportional to the displacement.

(B) The acceleration and displacement are opposite in direction.

(C) The velocity is maximum at mean position.

(D) The accelerat...

7Simple Harmonic Motion

At a given point of time the value of displacement of a simple harmonic oscillator is given as \(\mathrm{y}=\mathrm{A} \cos \left(30^{\circ}\right)\).
If amplitude is \(40 \mathrm{~cm}\) and kinetic energy at that time is $$200 \mathrm{~J}...

INTEGER+4 / -12023

8Simple Harmonic Motion

Which graph represents the difference between total energy and potential energy of a particle executing SHM vs it's distance from mean position ?

9Simple Harmonic Motion

A particle executes SHM of amplitude A. The distance from the mean position when its's kinetic energy becomes equal to its potential energy is :

10Simple Harmonic Motion

A particle is executing simple harmonic motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be

11Simple Harmonic Motion

The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement \((x)\) starting from mean position to extreme position (A) is given by

12Simple Harmonic Motion

A particle executes S.H.M. of amplitude A along x-axis. At t = 0, the position of the particle is \(x=\frac{A}{2}\) and it moves along positive x-axis. The displacement of particle in time t is \(x = A\sin (wt + \delta )\), then the value o...

13Simple Harmonic Motion

A rectangular block of mass \(5 \mathrm{~kg}\) attached to a horizontal spiral spring executes simple harmonic motion of amplitude \(1 \mathrm{~m}\) and time period \(3.14 \mathrm{~s}\). The maximum force exerted by spring on block is _____...

INTEGER+4 / -12023

14Simple Harmonic Motion

A body is performing simple harmonic with an amplitude of 10 cm. The velocity of the body was tripled by air jet when it is at 5 cm from its mean position. The new amplitude of vibration is \(\sqrt{x}\) cm. The value of x is _____________.

INTEGER+4 / -12022

15Simple Harmonic Motion

The motion of a simple pendulum executing S.H.M. is represented by the following equation.
\(y = A\sin (\pi t + \phi )\), where time is measured in second. The length of pendulum is

16Simple Harmonic Motion

The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination \(\alpha\), is given by :

17Simple Harmonic Motion

The metallic bob of simple pendulum has the relative density 5. The time period of this pendulum is \(10 \mathrm{~s}\). If the metallic bob is immersed in water, then the new time period becomes \(5 \sqrt{x}\) s. The value of \(x\) will be ...

INTEGER+4 / -12022

18Simple Harmonic Motion

A pendulum is suspended by a string of length 250 cm. The mass of the bob of the pendulum is 200 g. The bob is pulled aside until the string is at 60\(^\circ\) with vertical as shown in the figure. After releasing the bob, the maximum veloc...

INTEGER+4 / -12022

19Simple Harmonic Motion

Motion of a particle in x-y plane is described by a set of following equations \(x = 4\sin \left( {{\pi \over 2} - \omega t} \right)\,m\) and \(y = 4\sin (\omega t)\,m\). The path of the particle will be :

20Simple Harmonic Motion

The potential energy of a particle of mass \(4 \mathrm{~kg}\) in motion along the x-axis is given by \(\mathrm{U}=4(1-\cos 4 x)\) J. The time period of the particle for small oscillation \((\sin \theta \simeq \theta)\) is $$\left(\frac{\pi}...

INTEGER+4 / -12022

21Simple Harmonic Motion

Assume there are two identical simple pendulum clocks. Clock - 1 is placed on the earth and Clock - 2 is placed on a space station located at a height h above the earth surface. Clock - 1 and Clock - 2 operate at time periods 4 s and 6 s re...

22Simple Harmonic Motion

The displacement of simple harmonic oscillator after 3 seconds starting from its mean position is equal to half of its amplitude. The time period of harmonic motion is :

23Simple Harmonic Motion

A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6 s. The time it will take to travel from its position of maximum displacement to the point corresponding to half of its amplitude, is ___________ s.

INTEGER+4 / -12022

24Simple Harmonic Motion

The equation of a particle executing simple harmonic motion is given by \(x = \sin \pi \left( {t + {1 \over 3}} \right)m\). At t = 1s, the speed of particle will be
(Given : \(\pi\) = 3.14)

25Simple Harmonic Motion

A mass \(0.9 \mathrm{~kg}\), attached to a horizontal spring, executes SHM with an amplitude \(\mathrm{A}_{1}\). When this mass passes through its mean position, then a smaller mass of \(124 \mathrm{~g}\) is placed over it and both masses m...

INTEGER+4 / -12022

26Simple Harmonic Motion

Time period of a simple pendulum in a stationary lift is 'T'. If the lift accelerates with \({g \over 6}\) vertically upwards then the time period will be :
(Where g = acceleration due to gravity)

27Simple Harmonic Motion

When a particle executes Simple Hormonic Motion, the nature of graph of velocity as a function of displacement will be :

28Simple Harmonic Motion

As per given figures, two springs of spring constants \(k\) and \(2 k\) are connected to mass \(m\). If the period of oscillation in figure (a) is \(3 \mathrm{s}\), then the period of oscillation in figure (b) will be \(\sqrt{x}~ s\). The v...

INTEGER+4 / -12022

29Simple Harmonic Motion

In figure \((\mathrm{A})\), mass '\(2 \mathrm{~m}^{\text {' }}\) is fixed on mass '\(\mathrm{m}\) ' which is attached to two springs of spring constant \(\mathrm{k}\). In figure (B), mass '\(\mathrm{m}\)' is attached to two springs of spri...

30Simple Harmonic Motion

Two massless springs with spring constants 2 k and 9 k, carry 50 g and 100 g masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will ...