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

Explanation

Speed of transverse wave in a wire is,
`v = sqrt ((T)/(mu)) = sqrt ((TL)/(M)) " "(because mu = (M)/(L))`
`therefore v ^(2) = (TL)/(M) implies T = (Mv ^(2))/(L) = ((2.1 ) (343) ^(2))/((12))=20588.575N`
`therefore T ~~2.06 xx 10 ^(4) N`