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Q.

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. Both, the whistle B and the listener start moving with speed 30 m/s away from whistle A. If speed of sound be
330 m/s, how many beats will be heard by the listener ?

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a

2

b

8

c

6

d

4

answer is B.

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Detailed Solution

detailed_solution_thumbnail

Here the whistle B and listener (both) are moving with same speed. Hence there will be no change in the pitch of whistle B to the listener. Frequency of the rote from ,4 will be
$n^{'} = n (\frac{V - V_{O}}{V}) := 660 (\frac{330 - 30}{330}) = 600 Hz Beat frequency = 600 - 596 = 4$

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