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MHT CET 2021 (20 Sep, Shift 1) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2021 (20 Sep, Shift 1)

Q79MHT CET 2021 · 20 SEP · SHIFT 1Medium

Stationary Waves & Vibrating Strings

A sonometer wire resonates with 4 antinodes between 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 two bridges is as before). The value of M is

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Answer: (c)

Same $n$ and $L$ : $p\sqrt{T}=$ constant.
$4\sqrt{1}=2\sqrt{M} \Rightarrow \sqrt{M}=2$
So the answer is (c) $4\text{ kg}$ .

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