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MHT CET 2024 (3 May, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2024 (3 May, Shift 2)

Q44MHT CET 2024 · 3 MAY · SHIFT 2Easy

Stationary Waves & Vibrating Strings

A violin emits sound waves of frequency ' $n_1$ ' under tension T. When tension is increased by $44\%$ , keeping the length and mass per unit length constant, frequency of sound waves becomes ' $n_2$ '. The ratio of frequency ' $n_2$ ' to frequency ' $n_1$ ' is

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Answer: (c)

With $L$ and $\mu$ fixed, $n \propto \sqrt{T}$ .
$\dfrac{n_2}{n_1} = \sqrt{1.44} = 1.2 = \dfrac{6}{5}$ .
So the answer is (c) $6:5$ .

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