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MHT CET 2023 (10 May, Shift 1) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2023 (10 May, Shift 1)

Q68MHT CET 2023 · 10 MAY · SHIFT 1Medium

Stationary Waves & Vibrating Strings

If the length of stretched string is reduced by $40\%$ and tension is increased by $44\%$ then the ratio of final to initial frequencies of stretched string is

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Answer: (a)

$n \propto \dfrac{\sqrt{T}}{L}$
$L' = 0.6L$ , $T' = 1.44T$ : $\dfrac{n'}{n} = \dfrac{\sqrt{1.44}}{0.6} = \dfrac{1.2}{0.6} = 2$
So the answer is (a) $2:1$ .

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