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Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Wave Motion and Waves on a String

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Wave Motion and Waves on a String

Determine the fundamental frequency of vibration if the speed of a...

Determine the fundamental frequency of vibration if the speed of a transverse wave on a stretched string of length

1 \text{ m}

is

60 \text{ m s}^{-1}

.

Options

A $30 \text{ Hz}$
B $60 \text{ Hz}$
C $15 \text{ Hz}$
D $120 \text{ Hz}$

Correct answer

A. $30 \text{ Hz}$

Step-by-step solution

The fundamental frequency of a stretched string fixed at both ends is given by

f = \dfrac{v}{2L}

, where

v

is the speed of the transverse wave and

L

is the length of the string.

Given

v = 60 \text{ m s}^{-1}

and

L = 1 \text{ m}

.

Substituting the values, we get

f = \dfrac{60}{2 \times 1} = 30 \text{ Hz}

.

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