wave_mechanics dopplers_effect Question 10

Question: A person feels 2.5% difference of frequency of a motor-car horn. If the motor-car is moving to the person and the velocity of sound is 320 m/sec, then the velocity of car will be

[CPMT 1981; MP PET 1989]

Options:

A) 8 m/s (approx.)

B) 800 m/s

C) 7 m/s

D) 6 m/s (approx.)

Show Answer

Answer:

Correct Answer: A

Solution:

By Doppler’s formula $ n’=\frac{nv}{(v-v _{S})} $ Since, source is moving towards the listener so $ n’>n $ .

               If n = 100 then n' = 102.5                    

Therefore $ 102.5=\frac{100\times 320}{(320-v _{S})} $

Therefore $ v _{s}=8 $

$ m/\sec $