1.

A 10 m long steel wire has mass 5 g. If the wire is under a tension of 80 N, the speed of transverse waves on the wire isA. `100ms^(-1)`B. `200ms^(-1)`C. `400ms^(-1)`D. `500ms^(-1)`

Answer» Correct Answer - C
Here, Length, L = 10 m
Mass, M=5 kg =`5xx10^(-3)` kg
Tension, T=80 N
Mass per unit length of the wire is
`mu=M/L=(5xx10^(-3)kg)/(10m)=5xx10^(-4)kgm^(-1)`
Speed of the transverse wave on the wire is
`v=sqrt(T/mu)=sqrt((80 N)/(5xx10^(-4)kgm^(-1)))`
`=4xx10^(2)ms^(-1)=400ms^(-1)`


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