alleryA uniform pressure $P$ is applied isotropically to a solid sphere of bulk modulus $K$. The fractional change in volume is
A$P/K$
B$-P/K$
C$K/P$
D$-K/P$
Answer & Solution
Correct answer: B. $-P/K$
$K = -\dfrac{P}{\Delta V / V}$, so $\dfrac{\Delta V}{V} = -\dfrac{P}{K}$.
The negative sign reflects that the volume *decreases* under compressive pressure.
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