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A Sonometer Wire 1 Metre Long Weighing 2 G is in Resonance with a Tuning Fork of Frequency 300 Hz. Find Tension in the Sonometer Wire. - Physics

A sonometer wire 1 metre long weighing 2 g is in resonance with a tuning fork of frequency 300 Hz. Find tension in the sonometer wire.

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Solution

Data : L = 1m, mass of the wire =2 g = 0.002 kg, n = 300 Hz

∴ m = mass per unit length of the wire

`= 0.002/I = 0.002kg//m`

`n= 1/(2L)sqrt(T/m)`

∴Tension , `T= 4n^2 L^2m = 4 xx(300)^2xx(1)^2xx0.002 = 720 N`

Concept: Study of Vibrations in a Finite Medium
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