First slide

Doppler

Question

A stationary source S produces sound of frequency 500 Hz which is heard by stationary observer. Now a Large reflector is placed behind the source which moves with a speed of 1 m/s towards the source. The number of beats heard per second by the observer will be

Moderate

A

1
B

2
C

3
D

4

Solution

The apparent frequency is given by
$n^{'} = n (\frac{v}{v - 2 v_{s}}) = 500 \times (\frac{330}{330 - 2 \times 1}) = 503 H z No of heats = 503 - 500 = 3$

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