Speed of sound wave is v. If a reflector moves towards a stationary source emitt

Question

Speed of sound wave is v. If a reflector moves towards a stationary source emitting waves of frequency f with speed u, the wavelength of reflected waves will be

Options:

A . v−uv+uf

B . v+uvf

C . v+uv−uf

D . v−uvf

Answer: Option C
:
C
Apparent frequency for reflector (which will act here as an observer) would be

f_{1} = (\frac{v + u}{v}) f

Where f is the actual frequency of source. The reflector will now behave as a source. The apparent frequency will now become

f_{2} = (\frac{v}{v - u}) f_{1}

Substituting the value of

f_{1}

we get

f_{2} = (\frac{v + u}{v - u}) f

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