A steel wire has a lengh of 90 cm which is under a constant tension of 100 N. The speed of the transverse waves that can be produced in the wire will be (take the mass of the steel wire be `6 xx 10^(-3)` kg) ,

Options

A. 50 m/s.
B. 50 cm/s
C. 1/3 `sqrt(6)` m/s
D. 50 `sqrt(6)` m/s

Answer

D

Explanation

Mass per unit length of steel wire
m = `(M)/(L) = (6xx10^(-3))/(0.9) = (2)/(3) xx 10^(-2) `kg/`m^(-1)`
Now v = `sqrt(T//m) = sqrt((100)/((2)/(3) xx 10^(-2))) `
= ` 100 sqrt((3)/(2)) = 50 sqrt(6)` s .
correct choice is d.