A metallic wire of 1 m length has a mass of `10xx10^(-3)`kg. If a tension of 100 N is applied to a wire, what is the speed of transverse wave ?

Options

A. `200 ms^(-1)`
B. `100 ms^(-1)`
C. `0.1 ms^(-1)`
D. `10 ms^(-1)`

Answer

B

Explanation

Here,
Mass per unit length of the wire,
`mu=(10xx10^(-3)kg)/(1m)= 10xx10^(-3)kg m^(-1)`
Tension, `T= 100N`
The speed of transverse wave on the wire is
The speed of transverse wave on the wire is
`v= sqrt(T/mu)=sqrt((100N)/(10xx10^(-3)kg m^(-1)))=100ms^(-1)`