Q81 / 90 · JEE Main 2023 (15 Apr Shift 1) · Physics

The fundamental frequency of vibration of a string between two rigid support is 50 Hz. The mass of the string is 18 g and its linear mass density is 20 g m-1. The speed of the transverse waves so produced in the string is _______ m s–1.

Correct answer: 90

Solution

The fundamental frequency is f=50 Hz.

The length of the string is l=λ2

Linear mass density is μ=ml=20 g m-1

Using v=fλ

v2l=50

⇒v=100×l=100×1820=90 m s-1

Hence, the correct answer is 90.

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