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MHT CET 2025 (22 Apr, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2025 (22 Apr, Shift 2)

Q32MHT CET 2025 · 22 APR · SHIFT 2Medium

Stationary Waves & Vibrating Strings

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

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Answer: (b)

At constant tension, all harmonics $\propto \dfrac{1}{L}$ .
$L' = 1.25L \Rightarrow n' = 0.8n$ : second harmonic $100\text{ Hz} \to 80\text{ Hz}$ .
So the answer is (b) decreased by $20\%$ .

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