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Question

Sound waves travel from air to water. The velocity of the sound waves in air is 332ms1 and wavelength is 2 m. If the wavelength of the sound waves in water is 850 cm, find its velocity in water.

A
1400ms1
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B
1300ms1
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C
1411ms1
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D
1511ms1
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Solution

The correct option is C 1411ms1
Speed of Sound in Air is given by, v=uλ , where v is speed, u is frequency and λ is wavelength of sound.
Let, vw and λw are the speed and wavelength in Water.
and we know that, u(Frequency) remains constant in both of the medium's.
vw=uλw
Now, Given;
In Air
v=332m/s λ=2m , from this we can find u(Frequency)=v/λ332/2=166Hz
Also,
In Water
vw=uλw166850/1001668.5=1411m/s

Hence, option C is correct.


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