Question

The bulk modulus of a spherical object is $'B'$. If it is subjected to uniform pressure $'p'$, the fractional decrease in radius is :

• A. $\frac{B}{3p}$
• B. $\frac{3p}{B}$
• C. $\frac{p}{3B}$
• D. $\frac{p}{B}$

Answer 1

Answer: (C)

$\frac{p}{3B}$

Answer 2

$B=\frac{p}{\left(\frac{\Delta V}{V}\right)}$
$\frac{\Delta V}{V}=\frac{p}{B}$
$3 \frac{\Delta r}{r}=\frac{p}{B}$
$\frac{\Delta r}{r}=\frac{p}{3 B}$