Mechanics SHM Mock Tests

A block of mass m is attached to two springs of spring constants k1 = 2k and k2 = k in parallel on a frictionless surface. The period of oscillation is T. What is the period if the same springs are connected in series?

A simple pendulum of length L has period T on Earth. If the same pendulum is taken to a planet where the gravitational acceleration is g/4, the new period is:

A simple pendulum of length L has a bob of mass m and charge q. A horizontal uniform electric field E exists in the region. The new time period of small oscillations is:

A particle executes SHM with amplitude A. The ratio of its maximum speed to its maximum acceleration is:

A particle of mass m moves in one dimension under a potential V(x) = αx⁴ where α > 0. For oscillations about x = 0 with amplitude A, the period of oscillation T is proportional to:

A simple pendulum of length L has period T when oscillating in air. The bob is a solid sphere of density ρ. When the bob is completely immersed in a liquid of density ρ/3, the new period T_new is approximately:

A simple pendulum of length L has a period T on Earth. If the pendulum is taken to a height h above the Earth surface where the gravitational acceleration becomes (2/3)g, its new period is:

A simple pendulum of length L and mass m has a period T_0 in a stationary frame. The pendulum is now placed in an elevator accelerating upward with acceleration a = g/3. The new period T is: