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MHT CET 2019 (3 May, Shift 1) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2019 (3 May, Shift 1)

Q95MHT CET 2019 · 3 MAY · SHIFT 1Medium

Stationary Waves & Vibrating Strings

The fundamental frequency of sonometer wire increases by 9 Hz, if its tension is increased by $69\%$ , keeping the length constant. The frequency of the wire is

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Answer: (c)

$n \propto \sqrt{T}$ at fixed length.
$T' = 1.69T \Rightarrow n' = 1.3n$ , so the increase is $0.3n$ .
$0.3n = 9 \Rightarrow n = 30\text{ Hz}$
So the answer is (c) 30 Hz.

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