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List of top Physics Questions on simple harmonic motion asked in MHT CET

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?
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?
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)?
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:
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 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.
Which of the following is a logic gate that gives an output of 1 when the inputs are different?
What is the overtone of a vibrating string?
How do you find the amplitude of a simple harmonic oscillator?
The root mean square velocity (\(v_{\text{rms}}\)) of a gas is given by: