simple harmonic motion is an important topic in the Physics section in MHT CET exam. Practising this topic will increase your score overall and make your conceptual grip on MHT CET exam stronger.
This article gives you a full set of MHT CET PYQs for simple harmonic motion with explanations for effective preparation. Practice of MHT CET Physics PYQs including simple harmonic motion questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.
Also Read
MHT CET PYQs for simple harmonic motion with Solutions
1.
The time period of a particle in simple harmonic motion is 8 second. At t = 0 it is at the mean position. The ratio of the distances travelled by it in the first and second seconds is:- $ \frac{1}{2} $
- $ \frac{1}{\sqrt{2}} $
- $ \frac{1}{\sqrt{2}-1} $
- $ \frac{1}{\sqrt{3}} $
2.
The time period of SHM is \( 2 \, \mathrm{s} \) with mass \( m \). If an additional mass of \( 40 \, \mathrm{g} \) is added, the time period increases by \( 3 \, \mathrm{s} \). What is \( m \) (in grams)?- \( 7.64 \, \mathrm{g} \)
- \( 40 \, \mathrm{g} \)
- \( 50 \, \mathrm{g} \)
- \( 60 \, \mathrm{g} \)
3.
A particle performs simple harmonic motion with amplitude \( A \). Its speed is tripled at the instant that it is at a distance \( \frac{2A}{3} \) from the equilibrium position. The new amplitude of the motion is:- \( A\sqrt{3} \)
- \( \frac{7A}{3} \)
- \( \frac{A}{3}\sqrt{41} \)
- \( 3A \)
4.
A simple pendulum of length 1 m is oscillating with a small amplitude. If the acceleration due to gravity is \( 9.8 \, \text{m/s}^2 \), what is the time period of the pendulum?- \( 1.0 \, \text{s} \)
- \( 2.0 \, \text{s} \)
- \( 3.0 \, \text{s} \)
- \( 4.0 \, \text{s} \)
5.
The potential energy of a particle performing linear S.H.M is \( 0.1 \pi^2 x^2 \) joules. If the mass of the particle is \( 20 \, \mathrm{g} \), find the frequency of S.H.M:- \( 0.4 \, \mathrm{Hz} \)
- \( 0.6 \, \mathrm{Hz} \)
- \( 1.581 \, \mathrm{Hz} \)
- \( 2.0 \, \mathrm{Hz} \)
6.
Find the ratio of K.E. and P.E. when a particle performs SHM when it is at (1 / n) times of its amplitude from mean position.- n2 / 2
- n2+1
- N2-1
- n2
7.
The equation of a simple harmonic progressive wave is given by $ y = A \,sin \,(100\, \pi t - 3x) $ . Find the distance between $ 2 $ particles having a phase difference of $ \frac{\pi}{3} $ .- $ \frac{\pi}{9}m $
- $ \frac{\pi}{18}m $
- $ \frac{\pi}{6}m $
- $ \frac{\pi}{3}m $
8.
A particle performs SHM, having a speed of 6 cm/sec at the mean position and an amplitude of 4 cm. Find the position of the particle from the mean position when its velocity is 2 cm/sec.- \(2 \, \text{cm}\)
- \(3 \, \text{cm}\)
- \(4 \, \text{cm}\)
- \(1 \, \text{cm}\)
9.
The path length of oscillation of simple pendulum of length 1 metre is 16 cm. Its maximum velocity is $(g = \pi^2 \, m/s^2)$- $2 \pi \, cm/s$
- $4 \pi \, cm/s$
- $8 \pi \, cm/s$
- $16 \pi \, cm/s$
10.
Two particles execute SHM of the same amplitude and frequency along the same straight line. If they pass one another when going in opposite directions, each time their displacement is half their amplitude, the phase difference between them is- $\frac{\pi}{3}$
- $\frac{\pi}{4}$
- $\frac{\pi}{6}$
- $\frac{2\pi}{3}$
11.
A particle executes a simple harmonic motion of time period $ T $ . Find the time taken by the particle to go directly from its mean position to half the amplitude- $ T/2 $
- $ T/4 $
- $ T/8 $
- $ T/12 $
12.
The graph between the time period and the length of a simple pendulum is- straight line
- curve
- ellipse
- parabola
13.
A 1.5 kg block is placed on a frictionless surface and attached to a spring with a spring constant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the potential energy stored in the spring?\( 2.0 \, \text{J} \)
\( 1.0 \, \text{J} \)
- \( 0.5 \, \text{J} \)
- \( 3.0 \, \text{J} \)
Comments