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MHT CET 2023 (13 May, Shift 2) · Beats

Beats question from MHT CET 2023 (13 May, Shift 2)

Q42MHT CET 2023 · 13 MAY · SHIFT 2Medium

Beats

When two tuning forks are sounded together, 5 beats per second are heard. One of the forks is in unison with $0.97\text{ m}$ length of sonometer wire and the other is in unison with $0.96\text{ m}$ length of the same wire. The frequencies of the two tuning forks are

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Answer: (d)

$f \propto \dfrac{1}{L}$ : $f_1 \times 0.97 = f_2 \times 0.96$ , with $f_2 - f_1 = 5$ .
$f_1\left(\dfrac{0.97}{0.96} - 1\right) = 5 \Rightarrow f_1 = \dfrac{5 \times 0.96}{0.01} = 480\text{ Hz}$
$f_2 = 485\text{ Hz}$
So the answer is (d) 480 Hz, 485 Hz.

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