First slide

Doppler

Question

A source of sound S is moving with a velocity 50 m/s towards a stationary observer. The observer measures the frequency of the source as 1000 Hz. What will be the apparent frequency of the source when it is moving away from the observer after crossing him ? The velocity of sound in the medium is 350 m/s

Moderate

A

750 Hz
B

857 Hz
C

1143 Hz
D

1333Hz

Solution

When the source is coming to stationary observer
$n^{'} = (\frac{v}{v - v_{S}}) n 1000 = (\frac{350}{350 - 50}) n or n = \frac{1000 \times 300}{350} When the source is moving away ftom stationary observer n^{''} = (\frac{v}{v + v_{s}}) n = (\frac{350}{350 + 50}) (\frac{1000 \times 300}{350}) = 750 Hz$

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