A spherical ball contracts in volume by $0.02 \%$, when subjected to a normal uniform pressure of $50$ atmosphere. The Bulk modulus of its material is ............. $Nm ^{-2}$
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(a)
We know $\frac{\Delta V}{V}=-\frac{P}{B}$
Substituting values
$\frac{-\frac{0.01}{100} \times V}{V}=\frac{-100}{B} \times 1.01 \times 10^5$ $\left\{1 \,atm =1.01 \times 10^5 \,Pa\right.$ or $\left.Nm ^{-2}\right\}$
$B=1.01 \times 10^{11} \,Nm ^{-2}$
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