wave_mechanics dopplers_effect Question 27

Question: A motor car blowing a horn of frequency 124vib/sec moves with a velocity 72 km/hr towards a tall wall. The frequency of the reflected sound heard by the driver will be (velocity of sound in air is 330 m/s)

[MP PET 1997]

Options:

A) 109 vib/sec

B) 132 vib/sec

C) 140 vib/sec

D) 248 vib/sec

Show Answer

Answer:

Correct Answer: C

Solution:

Similar to previous question The frequency of reflected sound heard by the driver $ {n}’=n( \frac{v-(-v _{0})}{v-v _{s}} )=n( \frac{v+v _{0}}{v-v _{s}} ) $

$ =124[ \frac{330+(72\times 5/18)}{330-(72\times 5/18)} ] $ = 140 vibration/sec.