Wave Mechanics Question 682

Question: A source producing sound of frequency 170 Hz is approaching a stationary observer with a velocity $ 17m{{s}^{-1}} $ . The apparent change in the wavelength of sound heard by the observer is (speed of sound in air $ =340m{{s}^{-1}} $ )

Options:

A) 0.1 m

B) 0.2 m

C) 0.4 m

D) 0.5 m

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ \lambda =\frac{v}{n}=\frac{340}{170}=2m $ , $ n’=\frac{340}{340-17}\times 170 $

$ n’=178.9,Hz $ Now $ \lambda ‘=\frac{v}{n’}=\frac{340}{178.9}=1.9 $
$ \Rightarrow ,\lambda -\lambda ‘=2-1.9=0.1 $