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MHT CET 2026 (17 Apr, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2026 (17 Apr, Shift 2)

Q24MHT CET 2026 · 17 APR · SHIFT 2Medium

Stationary Waves & Vibrating Strings

In a sonometer experiment, the fundamental frequency of vibration of wire is ' $n_1$ ' when wire is stretched by hanging a metal bob. If the bob is completely immersed in water, the frequency of vibration of wire becomes ' $n_2$ '. The relative density of the metal of the bob is

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Answer: (c)

$n \propto \sqrt{T}$ . In air $T_1 = V\rho g$ ; in water $T_2 = V(\rho - \rho_w)g$ .
$\dfrac{n_2^2}{n_1^2} = \dfrac{\rho - \rho_w}{\rho} = \dfrac{d-1}{d}$ , where $d$ is the relative density.
$d = \dfrac{n_1^2}{n_1^2 - n_2^2}$
So the answer is (c).

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