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JEE Main 2023 (8 Apr, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from JEE Main 2023 (8 Apr, Shift 2)

Q60JEE Main 2023 · 8 APR · SHIFT 2Easy

Stationary Waves & Vibrating Strings

A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string producing a fundamental frequency of 180 Hz will be _________ cm.

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

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Answer: 60

Same string and tension: $f \propto \dfrac{1}{L}$ .
$L_2 = 90 \times \dfrac{120}{180} = 60\text{ cm}$ .
So the length is $60\text{ cm}$ .

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