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MHT CET 2020 (16 Oct, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2020 (16 Oct, Shift 2)

Q88MHT CET 2020 · 16 OCT · SHIFT 2Medium

Stationary Waves & Vibrating Strings

When tension $T$ is applied to a sonometer wire of length $l$ , it vibrates with the fundamental frequency $n$ . Keeping the experimental setup same, when the tension is increased by 8 N, the fundamental frequency becomes three times the earlier fundamental frequency $n$ . The initial tension applied to the wire (in newton) was

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Answer: (d)

$n \propto \sqrt{T}$ for the same wire and length.
$\sqrt{\frac{T+8}{T}}=3 \Rightarrow T+8=9T$
$T=1\text{ N}$ , so the answer is (d) 1.0.

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