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MHT CET 2025 (26 Apr, Shift 1) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2025 (26 Apr, Shift 1)

Q29MHT CET 2025 · 26 APR · SHIFT 1Easy

Stationary Waves & Vibrating Strings

Fundamental frequency of sonometer wire is ' $n$ '. If the tension and length are increased 3 times and diameter is increased twice, the new frequency will be

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Answer: (c)

$n = \dfrac{1}{LD}\sqrt{\dfrac{T}{\pi\rho}} \Rightarrow n \propto \dfrac{\sqrt{T}}{LD}$ .
$\dfrac{n'}{n} = \dfrac{\sqrt{3}}{3 \times 2} = \dfrac{1}{2\sqrt{3}}$ .
So the answer is (c) $\frac{n}{2\sqrt{3}}$ .

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