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Question

A sound wave is produced in water and moves towards the surface of water and part of it moves in air. The velocity of sound in water is 1450 m/s and that in air is 330 m/s. Which of the following statements is correct regarding the frequency (f) and wavelength (λ) of sound when it travels from water to air?

A
f and λ will remain same.
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B
f will remain the same but λ will increase.
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C
f will remain the same but λ will decrease.
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D
f will increase and λ will decrease.
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Solution

The correct option is C f will remain the same but λ will decrease.
Given that,
Velocity of sound in water, vw=1450 m/s
Velocity of sound in air, va=330 m/s
Frequency depends on the source only. It does not depend on the medium of travel.
The velocity of the sound is given by
v=fλ
where f is constant.
The velocity of sound decreases when it goes from water to air.
i.e vw<vs
So λ will also decrease i.e λw<λs.

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