A tuning fork \( P \) of unknown frequency gives 7 beats in 2 seconds with another tuning fork \...

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A tuning fork \( P \) of unknown frequency gives 7 beats in 2 seconds with another tuning fork \( Q \). When \( Q \) runs towards a wall with a speed of \( 5 \mathrm{~m} / \mathrm{s} \) it gives 5 beats per second with its echo. On loading \( P \) with wax, it gives 5 beats per second with \( Q \). What is the frequency of \( P \) ? Assume speed of sound \( =332 \mathrm{~m} / \mathrm{s} \).
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