Question

A sphere of radius $3\, cm$ is subjected to a pressure of $100$ atm. Its volume decreases by $0.3\, cc$. What will be its bulk modulus?

• A. $4\pi\times 10^5 atm$
• B. $4\pi\times3\times10^3 atm$
• C. $4\pi\times10^6 atm$
• D. $4\pi\times10^8 atm$

Answer 1

Answer: (B)

Given $r=3\, cm , \Delta V=0.3\, cc$
Bulk modulus $K=-\frac{p V}{\Delta V}$
$=\frac{100 \times \frac{4}{3} \pi r^{3}}{0.3}$
$=4 \pi \times 3 \times 10^{3}$ atm
We can see there is no correct choice given.