Physics - Elasticity Question with Solution | TestHub

$B=-\frac{∆P}{{\displaystyle \frac{∆V}{V}}}$
$\frac{∆V}{V}=-\frac{∆P}{B}$
Magnitude is given by,
$\left|\frac{∆V}{V}\right|=\frac{∆P}{B}$

Volume in terms of length can be represented as,

$3\times \left|\frac{∆L}{L}\right|=\frac{∆P}{B}$

Therefore,

$\left|\frac{∆L}{L}\right|=\frac{1}{3}\times \frac{∆P}{B}$

Substituting the values we get,
$\left|\frac{∆L}{L}\right|=\frac{1}{3}\times \frac{4\times {10}^9}{8\times {10}^{10}}=\frac{1}{60}$

Percantage change is,
$\frac{1}{60}\times 100=\frac{5}{3}=1.67$