Wave Mechanics Question 1008

Question: The driver of a car travelling with speed 30 metres per second towards a hill sounds a horn of frequency 600 Hz. If the velocity of sound in air is 330 metres per second, the frequency of the reflected sound as heard by the driver is

[MP PMT 1996]

Options:

A) 720 Hz

B) 555.5 Hz

C) 550 Hz

D) 500 Hz

Show Answer

Answer:

Correct Answer: A

Solution:

From the figure, it is clear that Frequency of reflected sound heard by the driver. $ n’=n,[ \frac{v-(-v _{o})}{v-v _{s}} ]=n,[ \frac{v+v _{o}}{v-v _{s}} ]=n,[ \frac{v+v _{car}}{v-v _{car}} ] $

$ =600,[ \frac{330+30}{330-30} ]=720,Hz. $