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

The Correct Option is C

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