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MHT CET 2026 (12 May, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2026 (12 May, Shift 2)

Q23MHT CET 2026 · 12 MAY · SHIFT 2Medium

Stationary Waves & Vibrating Strings

A sonometer wire resonates with a given tuning fork forming standing wave with $5$ antinodes between two bridges when mass of $9$ kg is suspended from the wire. When mass $M$ is suspended from the wire with same fork and same length between two bridges, $3$ antinodes are formed. Mass $M$ is

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Answer: (d)

Same fork and length: $n = \dfrac{p}{2L}\sqrt{\dfrac{Mg}{\mu}} \Rightarrow p^2 M = \text{constant}$ .
$5^2 \times 9 = 3^2 \times M \Rightarrow M = 25\text{ kg}$
So the answer is (d) $25$ kg.

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