wave_mechanics dopplers_effect Question 65

Question: An observer moves towards a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency

[AIEEE 2005]

Options:

A) 5%

B) 20%

C) Zero

D) 0.5%

Show Answer

Answer:

Correct Answer: B

Solution:

When observer moves towards stationary source then apparent frequency $ n’=[ \frac{v+v _{O}}{v} ]n $

$ =[ \frac{v+v/5}{v} ]n $

$ =\frac{6}{5}n=1.2n $ Increment in frequency = 0.2 n so percentage change in frequency = $ \frac{0.2n}{n}\times 100 $ = 20%.