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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

Vibrating in its second harmonic, a sonometer wire with a length of...

Vibrating in its second harmonic, a sonometer wire with a length of

1.50 \text{ m}

between the bridges is in resonance with a tuning fork of frequency

256 \text{ Hz}

. Determine the speed of the transverse wave on the wire.

Options

A $768 \text{ m/s}$
B $384 \text{ m/s}$
C $512 \text{ m/s}$
D $192 \text{ m/s}$

Correct answer

B. $384 \text{ m/s}$

Step-by-step solution

Given length of the wire,

L = 1.50 \text{ m}

and frequency,

f = 256 \text{ Hz}

.

For a wire vibrating in its second harmonic (

n = 2

), the frequency is given by

f = \dfrac{n v}{2 L}

.

Substituting

n = 2

, we get

f = \dfrac{2 v}{2 L} = \dfrac{v}{L}

.

The speed of the transverse wave is

v = f L

.

Substituting the given values,

v = 256 \times 1.50 = 384 \text{ m/s}

.

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