Two sitar strings \( A \) and \( B \) playing the note 'Dha' are slightly out of tune and produc...

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Two sitar strings \( A \) and \( B \) playing the note 'Dha' are slightly out of tune and produce beats of frequency \( 5 \mathrm{~Hz} \). The tension of the string \( B \) is slightly increased and the beat frequency is found to decrease to \( 3 \mathrm{~Hz} \). The original frequency of \( B \), if the frequency of \( A \) is \( 427 \mathrm{~Hz} \), is
(a) \( 422 \mathrm{~Hz} \)
(b) \( 420 \mathrm{~Hz} \)
(c) \( 424 \mathrm{~Hz} \)
(d) \( 419 \mathrm{~Hz} \)
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