Question

54. A sound wave travelling in air is made to propagate
through a liquid such that the velocity of sound is
quadrupled. If the frequency of the sound wave is
constant, find the change in the wavelength of the
sound wave.​

Answer 1

Answer:

Speed of Sound in Air is given by, v=uλ , where v is speed, u is frequency and λ is wavelength of sound.

Let, v

w

and λ

w

are the speed and wavelength in Water.

and we know that, u(Frequency) is constant in both of the medium's.

⟹ v

w

∝λ

w

Therefor, If v

w

=4v ⟹ λ

w

=4λ.

⟹ Change in Wavelength is, λ

w

−λ≅4λ−λ=3λ

Answer 2

Answer:

Wavelength is quadrupled

Explanation:

Velocity = frequency (wavelength)

Velocity is quadrupled. Yet, frequency is constant.

So, velocity/wavelength is same in both cases.

V/l = 4v/xl

So,x=4

Wavelength is also quadrupled.