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A steel wire 0.72 m long has a mass of 5...

A steel wire 0.72 m long has a mass of `5.0 xx 10^(-3) kg`. If the wire is under a tension of 60 N. What is the speed of transverse waves on the wire ?

Text Solution

Verified by Experts

Mass per unit length of the wire,
`mu = (5.0 x 10^(-3) kg)/(0.72 m)`
`= 6.9 xx 10^(-3) kg m^(-1)`
Tension, T = 60 N
The speed of wave on the wire is given by
`v = sqrt((T)/(mu)) = sqrt((60 N)/(6.9 xx 10^(-3) kg m^(-1))) = 93 s^(-1)`
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