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MHT CET 2023 (12 May, Shift 1) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2023 (12 May, Shift 1)

Q65MHT CET 2023 · 12 MAY · SHIFT 1Medium

Stationary Waves & Vibrating Strings

A uniform string is vibrating with a fundamental frequency ' $n$ '. If radius and length of string both are doubled keeping tension constant then the new frequency of vibration is

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Answer: (c)

$n = \dfrac{1}{2Lr}\sqrt{\dfrac{T}{\pi\rho}} \Rightarrow n \propto \dfrac{1}{Lr}$ at constant $T$ .
$n' = \dfrac{n}{2\times2} = \dfrac{n}{4}$
So the answer is (c) $\dfrac{n}{4}$ .

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