Simple Harmonic Motion · Physics · WB JEE

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MCQ (Single Correct Answer)

1

Two springs are joined and attached to a mass of 16 kg. The system is then suspended vertically from a rigid support. The spring constant of the two springs are K1 and K2 respectively. The period of vertical oscillations of the system will be

WB JEE 2008
2

A simple pendulum is taken at a place where its distance from the earth's surface is equal to the radius of the earth. Calculate the time period of small oscillations if the length of the string is 4.0 m . (Take $g=\pi^2 \mathrm{~ms}^{-2}$ at the surface of the earth.)

WB JEE 2025
3

The variation of displacement with time of a simple harmonic motion (SHM) for a particle of mass $m$ is represented by $y=2 \sin \left(\frac{\pi t}{2}+\phi\right) \mathrm{cm}$. The maximum acceleration of the particle is

WB JEE 2025
4

A particle of mass '$$m$$' moves in one dimension under the action of a conservative force whose potential energy has the form of $$U(x)=-\frac{\alpha x}{x^2+\beta^2}$$ where $$\alpha$$ and $$\beta$$ are dimensional parameters. The angular frequency of the oscillation is proportional to

WB JEE 2024
5

In a simple harmonic motion, let f be the acceleration and t be the time period. If x denotes the displacement, then |fT| vs. x graph will look like,

WB JEE 2023
6

A particle is subjected to two simple harmonic motions in the same direction having equal amplitudes and equal frequency. If the resultant amplitude is equal to the amplitude of the individual motion, the phase difference ($$\delta$$) between the two motion is

WB JEE 2022
7
A simple pendulum, consisting of a small ball of mass m attached to a massless string hanging vertically from the ceiling is oscillating with an amplitude such that Tmax = 2Tmin, where Tmax and Tmin are the maximum and minimum tension in the string, respectively. The value of maximum tension Tmax in the string is
WB JEE 2021
8
The bob of a swinging second pendulum (one whose time period is 2 s) has a small speed v0 at its lowest point. It height from this lowest point 2.25 s after passing through it, is given by
WB JEE 2020
9
In case of a simple harmonic motion, if the velocity is plotted along the X-axis and the displacement (from the equilibrium position) is plotted along the Y-axis, the resultant curve happens to be an ellipse with the ratio $${{major\,axis\,(along\,X)} \over {minor\,axis\,(along\,Y)}} = 20\pi $$

What is the frequency of the simple harmonic motion?
WB JEE 2018
10
The velocity of a particle executing a simple harmonic motion is 13 ms$$-$$1, when its distance from the equilibrium position (Q) is 3 m and its velocity is 12 ms$$-$$1, when it is 5 m away from Q. The frequency of the simple harmonic motion is
WB JEE 2017
11
A uniform string of length L and mass M is fixed at both ends while it is subject to a tension T. It can vibrate at frequencies (v) given by the formula (where n = 1, 2, 3, ....)
WB JEE 2017
12
A particle vibrating simple harmonically has an acceleration of 16 cms$$-$$2 when it is at a distance of 4 cm from the mean position. Its time period is
WB JEE 2016
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