Two identical straight wires are stretched so as to produce 6 beats… | MHT CET 2025 (23 Apr, Shift 1)

Q20MHT CET 2025 · 23 APR · SHIFT 1Medium

Beats

Two identical straight wires are stretched so as to produce 6 beats per second when vibrating simultaneously with tensions ' $T_1$ ' and ' $T_2$ ' respectively. On changing the tension slightly in one of them, the beat frequency remains unchanged. This will happen when (Given $\rightarrow T_1 > T_2$ )

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Answer: (d)

$T_1 > T_2 \Rightarrow f_1 = f_2 + 6$ (since $f \propto \sqrt{T}$ ).
Beats stay 6 only if the two frequencies swap order: $f_1$ drops to $f_2 - 6$ , or $f_2$ rises to $f_1 + 6$ .
That needs $T_1$ decreased or $T_2$ increased. Increasing $T_1$ or decreasing $T_2$ would only raise the beats.
So the answer is (d).

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Beats question from MHT CET 2025 (23 Apr, Shift 1)

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