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MHT CET 2024 (2 May, Shift 1) · Beats

Beats question from MHT CET 2024 (2 May, Shift 1)

Q35MHT CET 2024 · 2 MAY · SHIFT 1Medium

Beats

A wire under tension 225 N produces 6 beats per second when it is tuned with a fork. When the tension changes to 256 N, it is again tuned with the same tuning fork, the number of beats remain unchanged. The frequency of tuning fork will be

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Answer: (b)

$f \propto \sqrt{T}$ : $\sqrt{225} = 15$ , $\sqrt{256} = 16$ .
Same beats, so at 225 N the wire gives $n - 6$ and at 256 N it gives $n + 6$ .
$\dfrac{n - 6}{n + 6} = \dfrac{15}{16} \Rightarrow 16n - 96 = 15n + 90$
$n = 186\text{ Hz}$ . So the answer is (b) 186 Hz.

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