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MHT CET 2020 (19 Oct, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2020 (19 Oct, Shift 2)

Q86MHT CET 2020 · 19 OCT · SHIFT 2Medium

Stationary Waves & Vibrating Strings

At the poles, a stretched wire of a given length vibrates in unison with a tuning fork. At the equator, for same setting to produce resonance with same fork, the vibrating length of wire

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Answer: (c)

$n=\frac{1}{2l}\sqrt{\frac{Mg}{\mu}}$ , so for fixed $n$ : $l \propto \sqrt{g}$ .
$g$ is smaller at the equator than at the poles, so tension and wave speed fall.
So the length must be decreased: answer (c).

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