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Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Sound Waves

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Sound Waves

Sound waves from a loudspeaker propagate nearly uniformly in all...

Sound waves from a loudspeaker propagate nearly uniformly in all directions when the sound's wavelength is significantly greater than the loudspeaker's diameter. Compute the frequency at which the wavelength of sound in air equals ten times the speaker's diameter, given a diameter of

20 \text{ cm}

. Take the speed of sound as

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

.

Options

A $170 \text{ Hz}$
B $34 \text{ Hz}$
C $1700 \text{ Hz}$
D $17 \text{ Hz}$

Correct answer

A. $170 \text{ Hz}$

Step-by-step solution

Given diameter of the loudspeaker,

D = 20 \text{ cm} = 0.2 \text{ m}

.

The wavelength of sound is ten times the speaker's diameter:

\lambda = 10 \times D = 10 \times 0.2 = 2 \text{ m}

The speed of sound is given as

v = 340 \text{ m s}^{-1}

.

Using the relation between speed, frequency, and wavelength,

v = f \lambda

, we get:

f = \dfrac{v}{\lambda} = \dfrac{340}{2} = 170 \text{ Hz}

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