Question

In sonometar if tension of wire and length becomes double and mass per unit length remain constant then wave velocity will becomes.........

Answer 1

Let's consider, $L=$ length of the sonometer

$T=$ tension of the wire,

$\mu =$ mass per unit length which remains the same.

The wave velocity is given by

$v=\sqrt{\frac{T}{\mu }}$

Now, $T=2T$, $L^{\prime }=2L$

$v^{\prime }=\sqrt{\frac{2T}{\mu }}$

$v^{\prime }=\sqrt{2}v$