MCQ
A sphere has bulk modulus $B$. It is placed inside a pressure chamber, if a constant pressure $p$ is maintained inside chamber. The fractional decrement in diameter is
- A$\frac{ p }{2 B}$
- B$\frac{3 p}{B}$
- ✓$\frac{ p }{3 B}$
- D$\frac{p}{B}$
✓
Answer
Correct option: C.
$\frac{ p }{3 B}$
(C) $\frac{ p }{3 B}$
$B=\frac{\Delta v}{v}=\frac{P}{B}$
$\frac{\Delta v}{v}=3 \frac{\Delta D}{D}=\frac{p}{B}$
So, $\frac{\Delta D }{ D }=\frac{ p }{3 B}$
$B=\frac{\Delta v}{v}=\frac{P}{B}$
$\frac{\Delta v}{v}=3 \frac{\Delta D}{D}=\frac{p}{B}$
So, $\frac{\Delta D }{ D }=\frac{ p }{3 B}$
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