2025 Exam Questions
Q. A body of mass 0.8 kg performs linear S.H.M. It experiences a restoring force of 0.4 N , when its displacement from mean position is 4 cm . Determine Force constant and Period of S.H.M.
Q. Obtain an expression for the period of a bar magnet vibrating in a uniform magnetic field, performing S.H.M.
2024 Exam Questions
Q. The velocity of bob of a second’s pendulum when it is 6 cm from its mean position and amplitude of 10 cm, is _____.
(a) 8\pi\;cm/s
(b) 6\pi\;cm/s
(c) 4\pi\;cm/s
(d) 2\pi\;cm/s
Q. Obtain the differential equation of linear simple harmonic motion.
Q. The displacement of a particle performing simple harmonic motion is \frac13rd of its amplitude. What fraction of total energy will be its kinetic energy?
2023 Exam Questions
Q. State the differential equation of linear S.H.M. Hence, obtain expression for:
i) acceleration
ii) velocity
Q. Calculate the velocity of a particle performing S.H.M. after 1 second, if its displacement is given by x=5\;\sin\left(\frac{\pi t}3\right)m.
Q. A bar magnet of mass 120 g in the form of a rectangular parallelepiped, has dimensions l = 40 mm, b = 100 mm and h = 80 mm, with its dimension ‘h’ vertical, the magnet performs angular oscillations in the plane of the magnetic field with period π seconds. If the magnetic moment is 3.4 Am2, determine the influencing magnetic field.
2022 Exam Questions
Q. The equation of a simple harmonic progressive wave travelling on a string is y = 8 sin (0.02 x – 4t) cm. The speed of the wave is ____.
(A) 10 cm/s
(B) 20 cm/s
(C) 100 cm/s
(D) 200 cm/s
Q. A simple harmonic oscillator has amplitude 16 cm and period 4 seconds. The interval of time required by it to travel from x = 16 cm to x = 8 cm is ____.
(A) 1/2 second
(B) 2/3 second
(C) 5/6 second
(d) 4/3 second
Q. Discuss analytically the composition of two linear SHMs having same period and along the same path. Obtain the expression for resultant amplitude. Find the resultant amplitude when the phase difference is
a) zero radians
b) π/2 radians.
Q. Define second’s pedulum. Derive a formula for the length of second’s pendulum.
Q. Write the differential equation for angular S.H.M.
Q. A particle performing linear S.H.M. has maximum velocity 25 cm/s and maximum acceleration 100 cm/s2. Find period of oscillations.
