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MHT CET 2026 (15 Apr, Shift 1) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2026 (15 Apr, Shift 1)

Q25MHT CET 2026 · 15 APR · SHIFT 1Medium

Stationary Waves & Vibrating Strings

A sonometer wire resonates with $4$ antinodes between the two bridges for a given tuning fork when $1$ kg mass is suspended from the wire. Using same fork, when mass M is suspended, the wire resonates producing $2$ antinodes between the two bridges. (Distance between the bridges as before) The value of M is

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Answer: (c)

Same fork and length: $n = \dfrac{p}{2L}\sqrt{\dfrac{Mg}{\mu}} \Rightarrow p^2 M = \text{constant}$ .
$4^2 \times 1 = 2^2 \times M \Rightarrow M = 4\text{ kg}$
So the answer is (c) $4$ kg.

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