A simple pendulum is hung in a stationary lift and its periodic time is T. What will be the effect on its periodic time T if
(i) the lift is moving up with a uniform velocity v,
(ii) the lift is moving up with a uniform acceleration a, and (iii) the lift is moving down with a uniform acceleration a?

Explanation

To solve the problem, we need to analyze the effect of the lift's motion on the time period of a simple pendulum. The time period \( T \) of a simple pendulum is given by the formula:

\[ T = 2\pi \sqrt{\frac{L}{g_{\text{effective}}}} \]

where \( L \) is the length of the pendulum and \( g_{\text{effective}} \) is the effective acceleration due to gravity.

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