A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of `45` Hz. The mass of the wire is `3.5xx10^(-2)` kg an dits linear mass density is `4xx10^(-2)kg//m`. What its
(i) the speed of transverse wave in the wire and
(ii) the tension in the wire ?

Answer

`L=3.5 xx 10^(-3)//mu=3.5 xx 10^(-2)//4 xx 10^(-2) =0.875m, lambda=2L=1.75m, V =v lambda=45 xx 1.75 =78.8ms^(-1), T=mu^2=4 xx 10^(-2) xx (78.8)^2=248.4N`