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MHT CET 2021 (24 Sep, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2021 (24 Sep, Shift 2)

Q77MHT CET 2021 · 24 SEP · SHIFT 2Medium

Stationary Waves & Vibrating Strings

The length and diameter of a metal wire used in sonometer is doubled. The fundamental frequency will change from 'n' to

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Answer: (a)

$n = \dfrac{1}{LD}\sqrt{\dfrac{T}{\pi\rho}} \Rightarrow n \propto \dfrac{1}{LD}$
Doubling both: $n' = \dfrac{n}{2\times2} = \dfrac{n}{4}$
So the answer is (a) $\dfrac{n}{4}$ .

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