A steel wire has a length 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 to be 6 10⁻³ ~kg )

Step-by-step solution

Given, tension is the wire, T=100 ~N Mass of steel wire, m=6 10⁻³ ~kg Iength, l=90 ~cm =0.9 ~m Mass per unit length of steel wire, aligned &= m l &= 6 10⁻³ 0.9 &= 2 3 10⁻² ~kg - m ⁻¹ aligned Speed of transverse wave, aligned v &= T = 100 ( array c 2 3 array ) 10⁻² &= 300 6 =50 6 ~m / s aligned