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JEE Main 2024 (5 Apr, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from JEE Main 2024 (5 Apr, Shift 2)

Q45JEE Main 2024 · 5 APR · SHIFT 2Easy

Stationary Waves & Vibrating Strings

A sonometer wire of resonating length $90\text{ cm}$ has a fundamental frequency of $400\text{ Hz}$ when kept under some tension. The resonating length of the wire with fundamental frequency of $600\text{ Hz}$ under same tension _______ $\text{cm}$ .

Numerical answer type. Work it out, then open the answer.

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Answer: 60

Same tension and wire: $f \propto \dfrac{1}{L}$ .
$L_2 = 90 \times \dfrac{400}{600} = 60\text{ cm}$ .
So the resonating length is $60\text{ cm}$ .

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