wave_mechanics dopplers_effect Question 59

Question: When an engine passes near to a stationary observer then its apparent frequencies occurs in the ratio 5/3. If the velocity of engine is

[MP PMT 2003]

Options:

A) 540 m/s

B) 270 m/s

C) 85 m/s

D) 52.5 m/s

Show Answer

Answer:

Correct Answer: C

Solution:

When engine approaches towards observer $ n’=n( \frac{v}{v-v _{s}} ) $ when engine going away from observer $ {n}’’=( \frac{v}{v+v _{S}} )n $

$ \therefore $

$ \frac{n’}{n’’}=\frac{v+v _{s}}{v-v _{s}}\Rightarrow \frac{5}{3}=\frac{340+v _{s}}{340-v _{s}}\Rightarrow v _{s}=85 $

$ m/s $ .