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 is343 ms ^(-1).

A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should

1.	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 is343 ms ^(-1).
Answer» Solution :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`