Simple Harmonic Motion PYQs - Last 10 Years

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Practice 144 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 10 Years Simple Harmonic Motion Questions

Showing 44 of 144 filtered questions.

1Simple Harmonic Motion

Y = A sin(\(\omega\)t + \(\phi\)0) is the time-displacement equation of a SHM. At t = 0 the displacement of the particle is \(Y = {A \over 2}\) and it is moving along negative x-direction. Then the initial phase angle \(\phi\)0 will be:

2Simple Harmonic Motion

Two identical springs of spring constant '2k' are attached to a block of mass m and to fixed support (see figure). When the mass is displaced from equilibrium position on either side, it executes simple harmonic motion. The time period of o...

3Simple Harmonic Motion

In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is k. The mass oscillates on a frictionless surface with time period T and amplitude A. When t...

4Simple Harmonic Motion

The period of oscillation of a simple pendulum is \(T = 2\pi \sqrt {{L \over g}}\). Measured value of 'L' is 1.0 m from meter scale having a minimum division of 1 mm and time of one complete oscillation is 1.95 s measured from stopwatch of...

5Simple Harmonic Motion

When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is :

6Simple Harmonic Motion

In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane. The free ends of the springs are attached to firm supports. If each spring has spring constant k, the frequency of oscillation of given ...

7Simple Harmonic Motion

T0 is the time period of a simple pendulum at a place. if the length of the pendulum is reduced to \({1 \over {16}}\) times of its initial value, the modified time period is :

8Simple Harmonic Motion

A particle is making simple harmonic motion along the X-axis. If at a distances x1 and x2 from the mean position the velocities of the particle are v1 and v2 respectively. The time period of its oscillation is given as :

9Simple Harmonic Motion

A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system is shown in the figure. A simple pendulum of length 4 m has the same period of oscillation as the spring system. What i...

10Simple Harmonic Motion

A particle performs simple harmonic motion with a period of 2 second. The time taken by the particle to cover a displacement equal to half of its amplitude from the mean position is \({1 \over a}\)s. The value of 'a' to the nearest integer ...

INTEGER+4 / -12021

11Simple Harmonic Motion

The time period of a simple pendulum is given by \(T = 2\pi \sqrt {{l \over g}}\). The measured value of the length of pendulum is 10 cm known to a 1mm accuracy. The time for 200 oscillations of the pendulum is found to be 100 second using...

12Simple Harmonic Motion

The function of time representing a simple harmonic motion with a period of \({\pi \over \omega }\) is :

13Simple Harmonic Motion

Consider two identical springs each of spring constant k and negligible mass compared to the mass M as shown. Fig. 1 shows one of them and Fig. 2 shows their series combination. The ratios of time period of oscillation of the two SHM is Tb/...

INTEGER+4 / -12021

14Simple Harmonic Motion

For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal ?

15Simple Harmonic Motion

A block of mass 1 kg attached to a spring is made to oscillate with an initial amplitude of 12 cm. After 2 minutes the amplitude decreases to 6 cm. Determine the value of the damping constant for this motion . (take ln 2 = 0.693)

16Simple Harmonic Motion

Two particles A and B of equal masses are suspended from two massless springs of spring constants K1 and K2 respectively. If the maximum velocities during oscillations are equal, the ratio of the amplitude of A and B is

17Simple Harmonic Motion

Time period of a simple pendulum is T inside a lift when the lift is stationary. If the lift moves upwards with an acceleration g/2, the time period of pendulum will be :

18Simple Harmonic Motion

Amplitude of a mass-spring system, which is executing simple harmonic motion decreases with time. If mass = 500g, Decay constant = 20 g/s then how much time is required for the amplitude of the system to drop to drop to half of its initial ...

19Simple Harmonic Motion

A spring mass system (mass m, spring
constant k and natural length \(l\)) rest in
equilibrium on a horizontal disc. The free end
of the spring is fixed at the centre of the disc.
If the disc together with spring mass system,
rotates about i...

20Simple Harmonic Motion

A simple pendulum is being used to determine
th value of gravitational acceleration g at a
certain place. Th length of the pendulum is
25.0 cm and a stop watch with 1s resolution
measures the time taken for 40 oscillations to
be 50 s. The a...

21Simple Harmonic Motion

When a particle of mass m is attached to a vertical spring of spring constant k and released, its
motion is described by y(t) = y0
sin2 \(\omega\)t, where 'y' is measured from the lower end of unstretched
spring. Then \(\omega\) is:

22Simple Harmonic Motion

A block of mass m attached to a massless spring is performing oscillatory motion of amplitude ‘A’ on
a frictionless horizontal plane. If half of the mass of the block breaks off when it is passing through
its equilibrium point, the amplitud...

23Simple Harmonic Motion

The displacement time graph of a particle
executing S.H.M is given in figure :(sketch is
schematic and not to scale)

Which of the following statements is/are true
for this motion?
(A) The force is zero at t = \({{3T} \over 4}\)
(B) The acc...

24Simple Harmonic Motion

A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its potential Energy (PE) equals kinetic energy (KE), the position of the particle will be :

25Simple Harmonic Motion

A rod of mass 'M' and length '2L' is suspended at its middle by a wire. It exhibits torsional oscillations; If two masses each of 'm' are attached at distance 'L/2' from its centre on both sides, it reduces the oscillation frequency by 20%....

26Simple Harmonic Motion

A damped harmonic oscillator has a frequency
of 5 oscillations per second. The amplitude
drops to half its value for every 10 oscillations.
The time it will take to drop to
1/1000 of the original amplitude is close to :-

27Simple Harmonic Motion

Two light identical springs of spring constant k are attached horizontally at the two ends of a uniform horizontal rod AB of length \(\ell\) and mass m. The rod is pivoted at its centre 'O' and can rotate freely in horizontal plane. The ot...

28Simple Harmonic Motion

A simple harmonic motion is represented by :
y = 5 (sin 3 \(\pi\) t + \(\sqrt 3\) cos 3 \(\pi\)t) cm
The amplitude and time period of the motion are :

29Simple Harmonic Motion

A particle undergoing simple harmonic motion has time dependent displacement given by x(t) = Asin\({{\pi t} \over {90}}\). The ratio of kinetic to potential energy of this particle at t = 210 s will be:

30Simple Harmonic Motion

A simple pendulum of length 1 m is oscillating with an angular frequency 10 rad/s. The support of the pendulum starts oscillating up and down with a small angular frequency of 1 rad/s and an amplitude of 10–2 m. The relative change in the a...

31Simple Harmonic Motion

The mass and the diameter of a planet are three times the respective values for the Earth. The period of oscillation of simple pendulum on the Earth is 2 s. The period of oscillation of the same pendulum on the planet would be :

32Simple Harmonic Motion

A pendulum is executing simple harmonic motion and its maximum kinetic energy is K1. If the length of the pendulum is doubled and it performs simple harmonic motion with the same amplitude as in the first case, its maximum kinetic energy is...

33Simple Harmonic Motion

A closed organ pipe has a fundamental frequency of 1.5 kHz. The number of overtones that can be distinctly heard by a person with this organ pipe will be (Assume that the highest frequency a person can hear is 20,000 Hz)

34Simple Harmonic Motion

A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond with still water. If pressed downward slightly and released, it starts performing simple harmonic motion at angular frequency $$\omeg...

35Simple Harmonic Motion

A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean position, the magnitude of its velocity in SI units is equal to that of its acceleration. Then, its periodic time in seconds is...

36Simple Harmonic Motion

The displacement of a damped harmonic
oscillator is given by
x(t ) = e–0.1t cos (10\(\pi\)t + f). Here t is in seconds.
The time taken for its amplitude of vibration to
drop to half of its initial value is close to :

37Simple Harmonic Motion

An oscillator of mass M is at rest in its equilibrium position in a potential
V = \({1 \over 2}\) k(x \(-\) X)2. A particle of mass m comes from right with speed u and collides completely inelastically with M and sticks to it. This proce...

38Simple Harmonic Motion

A particle executes simple harmonic motion and is located at x = a, b and c at times t0, 2t0 and 3t0 respectively. The freqquency of the oscillation is :

39Simple Harmonic Motion

Two simple harmonic motions, as shown below, are at right angles. They are combined to form Lissajous figures.
x(t) = A sin (at + \(\delta\))
y(t) = B sin (bt)
Identify the correct match below.

40Simple Harmonic Motion

A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 1012/sec. What is the force constant of the bonds connecting one atom with the other? (Mole wt. of silver = 108 and Avogadro number = 6.02 ×...

41Simple Harmonic Motion

A block of mass 0.1 kg is connected to an elastic spring of spring constant 640 Nm−1 and oscillates in a damping medium of damping constant 10−2 kg s−1 . The system dissipates its energy gradually. The time taken for its mechanical energy...

42Simple Harmonic Motion

The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is 10 s−1 . At, t = 0 the displacement is 5 m. What is the maximum acceleration ? The initial phase is \({\pi \over 4}\).

43Simple Harmonic Motion

A 1 kg block attached to a spring vibrates with a frequency of 1 Hz on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to an 8 kg block placed on the same table. So, the frequency of vi...

44Simple Harmonic Motion

A particle is executing simple harmonic motion with a time period T. At time t = 0, it is at its position of
equilibrium. The kinetic energy – time graph of the particle will look like: