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A tuning fork whose frequency as given by manufacturer is \( 512 \mathrm{~Hz} \) is being tested with an accurate oscillator. It is found that the fork produces a beat of \( 2 \mathrm{~Hz} \) when oscillator reads
\( \mathrm{P} \) \( 514 \mathrm{~Hz} \) but produces a beat of \( 6 \mathrm{~Hz} \) when oscillator reads

W \( 510 \mathrm{~Hz} \). The actual frequency of fork is
[MNR 1979; RPMT 1999; Similar MP PMT 2012]
(a) \( 508 \mathrm{~Hz} \)
(b) \( 512 \mathrm{~Hz} \)
(c) \( 516 \mathrm{~Hz} \)
(d) \( 518 \mathrm{~Hz} \)
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