There is a source of sound (a tuning fork) moving towards a reflecting wall will a speed of 30 m/s. The velocity of the sound in air is 330 m/s and the frequency of the tuning fork is 600Hz. The observer is between the source and the wall and is moving with some velocity $V_{1}$ towards the wall. The beat frequency heard by the observer is 4Hz. If the tuning fork is waxed, the frequency beats heard by man becomes 3Hz. Find new frequency of tuning fork.

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answer is 450.

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Detailed Solution

Apparent frequency of source Question Image

Apparent frequency of reflected sound Question Image
Beat frequency

$∴$ The source moves with a velocity 1m/s towards the wall.
When the tuning fork is waxed let its frequency become n
Beat frequency
$∴$ n = 450 Hz = new frequency of tuning fork.

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