A steel has a length of 12.0m and a mass of 2.10kg . What should be the tension in the wire so that speedof a transverse wave on the wire equals the speed of sound in dry airat `20^(@)C` equals `343ms^(-1)` ?

Explanation

Given L = 12.0m, M = 2.10 kg , tension ( T ) = ?
so that linear mass density `= (2.10)/( 12)`
`mu = 0.175 kgm^(-1)`
We know that `v =sqrt((T )/( mu ))`
`343 = sqrt((T )/( 0.175 ))`
i.e., `T = ( 343)^(2) xx 0.175 = 2.06 xx 10^(4) N `