16. Simple Harmonic Motion question bank (Physics)

A small sphere carrying a charge \( q \) is hanging in between two parallel plates by a string of length \( L \). Time period of pendulum is \( T_0 \). When parallel plates are charged, the time period changes to \( T \). The ratio \( \frac{T}{T_0} \) is equal to

The bob of a simple pendulum executes simple harmonic motion in water with a period \( t \), while the period of oscillation of the bob is \( t_0 \) in air. Neglecting frictional force of water and given that the density of the bob is \( \frac{4}{3} \times 1000\ \text{kg/m}^3 \). What relationship between \( t \) and \( t_0 \) is true?