A tuning fork P of unknown frequency gives 7 beats in 2 sec with another tuning fork Q. When Q runs towards the wall with a speed of 5 m/s it gives 5 beats per sec with its echo. On loading wax on P it gives 5 beats per second with Q. What is the original frequency of P? Assume speed of sound = 332 m/s.
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(160 Hz)
Let frequency of P is n then possible frequency of Q is n + 
or n – 
but on loading P with wax frequency will decrease and here beat frequency increases so Q must have frequency n Q = n + 
Now from doppler effect for Q frequency echo received by Q.
n Q , 
(n Q ' – n Q = 5)
2n + 7 = 327 ⇒ n = 160 Hz
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