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Two tuning forks when sounded together, produce 3 beat/s. One of the fork is in unison with 27 cm length of sonometer wire and other with 28 cm length of the same wire. The frequencies of the two tuning forks are

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42; 39 Hz

81; 78 Hz

84; 81 Hz

87 ; 84 Hz

answer is D.

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Detailed Solution

$\frac{v_{1}}{v_{2}} = \frac{28}{27}$

$v_{1} - v_{2} = 3 or \frac{28}{27} v_{2} - v_{2} = 3$

$v_{2} = 27 \times 3 Hz = 81 Hz$

or $v_{1} = v_{2} + 3 = (81 + 3) Hz$

or $v_{1} = 84 Hz$

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