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A wire of length 2.00 m is stretched to ...

A wire of length 2.00 m is stretched to a tension of 160 N. If the fundamental frequency of vibration is 100 Hz, find its linear mass density.

Text Solution

Verified by Experts

The correct Answer is:
1gm/m
L`=2m, f_0=100Hz, t=160N`
`f_0=1/(2L)sqrt((T/m))`
`rarr 100=(1/4)sqrt((160/m))`
`rarr m=1xx10^-3(kg)/m`
`rarr m=1g/m`
So, the linear mass desity is `1 (gm)/m.`
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