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

Answer

A

Explanation

l = 1 m, M = 10 `xx 10^(-3)` kg.
`therefore " " m = (M)/(l) = 10 xx 10^(-3) ` kg/m
v = `sqrt((T)/(m)) = sqrt((100)/(10 xx 10^(-3)) ) `
`v = sqrt((100)/(10^(-2))) = sqrt(100 xx 10^(2)) = 100 ` m/s .
Correct choice is a.