Question:
The bulk modulus of a spherical object is $'B'$. If it is subjected to uniform pressure $'p'$, the fractional decrease in radius is :
The bulk modulus of a spherical object is $'B'$. If it is subjected to uniform pressure $'p'$, the fractional decrease in radius is :
Updated On: Jul 25, 2024
- $\frac{B}{3p} $
- $\frac{3p}{B} $
- $\frac{p}{3B} $
- $\frac{p}{B} $
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The Correct Option is C
Solution and Explanation
$B=\frac{p}{\left(\frac{\Delta V}{V}\right)}$
$\frac{\Delta V}{V}=\frac{p}{B}$
$3 \frac{\Delta r}{r}=\frac{p}{B}$
$\frac{\Delta r}{r}=\frac{p}{3 B}$
$\frac{\Delta V}{V}=\frac{p}{B}$
$3 \frac{\Delta r}{r}=\frac{p}{B}$
$\frac{\Delta r}{r}=\frac{p}{3 B}$
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