wave_mechanics critical_thinking Question 14

Question: Two whistles A and B produces notes of frequencies 660 Hz and 596 Hz respectively. There is a listener at the mid-point of the line joining them. Now the whistle B and the listener start moving with speed 30 m/s away from the whistle A. If speed of sound be 330 m/s, how many beats will be heard by the listener

[RPET 1996]

Options:

A) 2

B) 4

C) 6

D) 8

Show Answer

Answer:

Correct Answer: B

Solution:

For observer note of $ B $ will not change due to zero relative motion.

               Observed frequency of sound produced by A                    = $ 660\frac{(330-30)}{330}=600Hz $ 

$ \therefore $ No. of beats = 600 ? 596 = 4