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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)

Q20MHT CET 2026 · 15 APR · SHIFT 1Medium

Stationary Waves & Vibrating Strings

The fundamental frequency of sonometer wire is $50$ Hz for some length and tension. If the length is increased by $25\%$ by keeping the tension same, then the frequency change of second harmonic is

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Answer: (b)

For fixed tension, every harmonic $\propto \dfrac{1}{L}$ .
$L' = 1.25L \Rightarrow n' = \dfrac{n}{1.25} = 0.8n$
Second harmonic goes from $100\text{ Hz}$ to $80\text{ Hz}$ : a $20\%$ decrease.
So the answer is (b) decrease by $20\%$ .

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