Concepts Of Physics MCQ Edition [Volume 1]PhysicsSimple Harmonic Motion

A simple pendulum of length l is suspended from the ceiling of an elevator. Find the time period of small oscillations given that the elevator travels with a uniform velocity.

Options

A2 2l g
Bl g
C2 l g
D2 l 2g

Correct answer

C. 2 l g

Step-by-step solution

Since the elevator is moving with a uniform velocity, its acceleration is zero. The effective acceleration due to gravity inside the elevator is g_ eff = g . The time period of a simple pendulum is given by T = 2 l g_ eff . Substituting g_ eff = g , we get T = 2 l g .

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