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Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Simple Harmonic Motion

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Simple Harmonic Motion

A simple pendulum of length l is suspended from the ceiling of an...

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

A $2\pi \sqrt{\dfrac{2l}{g}}$
B $\pi \sqrt{\dfrac{l}{g}}$
C $2\pi \sqrt{\dfrac{l}{g}}$
D $2\pi \sqrt{\dfrac{l}{2g}}$

Correct answer

C. $2\pi \sqrt{\dfrac{l}{g}}$

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\pi \sqrt{\dfrac{l}{g_{eff}}}

.

Substituting

g_{eff} = g

, we get

T = 2\pi \sqrt{\dfrac{l}{g}}

.

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