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MHT CET 2024 (9 May, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2024 (9 May, Shift 2)

Q53MHT CET 2024 · 9 MAY · SHIFT 2Medium

Stationary Waves & Vibrating Strings

A sonometer wire is in unison with a tuning fork of frequency ' $n$ ' when it is stretched by a weight of specific gravity ' $d$ '. When the weight is completely immersed in water, ' $x$ ' beats are produced per second, then

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Answer: (b)

In water the tension falls to $T\dfrac{d-1}{d}$ , so the frequency drops to $n - x$ (that gives $x$ beats with the fork).
$n \propto \sqrt{T} \Rightarrow \dfrac{n-x}{n} = \sqrt{\dfrac{d-1}{d}}$
$\dfrac{n}{n-x} = \sqrt{\dfrac{d}{d-1}}$
So the answer is (b).

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