When both source and observer approach each other with a speed equal to the half the speed of sound, then determine the percentage change in frequency of sound as detected by the listener.
Here we can use general formula of Doppler effect.
………(i)
The direction of sound wave is always from source to observer. In this case both the source and observer are moving towards each other. The direction of motion of observer is opposite to the velocity of sound. So Eq. (i) becomes
The speed of source and observer is equal to half the speed of sound.
Hence
Percentage change in frequency
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A source of sound of frequency 1000 Hz is moving towards a stationary wall with velocity 30 m/s and observer is also moving behind the source with the same velocity. If the frequency band width detected by the observer is K x102 . There find the value of k :
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