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A source of sound is moving with constant velocity of 20 m/s emitting a note of frequency 1000 Hz. The ratio of frequencies observed by a stationary observer while the source is approaching him and after it crosses him will be

(Speed of sound v = 340 m/s)

a
9 : 8
b
8 : 9
c
1 : 1
d
9 : 10

detailed solution

Correct option is A

When source is approaching the observer, the frequency heardna=vv−vS×n=340340−20×1000=1063HzWhen source is receding, the frequency heard nr=vv+vS×n=340340+20×1000=944 ⇒na:nr=9:8Short tricks :  nanr=v+vSv−vS=340+20340−20=98.

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