For a constant hydraulic stress on an object, the fractional chan…

MCQ

For a constant hydraulic stress on an object, the fractional change in the object's volume $\left( {\frac{{\Delta V}}{V}} \right)$ and its bulk modulus $(B)$ are related as

A
$\frac{{\Delta V}}{V} \propto B$
✓
$\frac{{\Delta V}}{V} \propto \frac{1}{B}$
C
$\frac{{\Delta V}}{V} \propto {B^2}$
D
$\frac{{\Delta v}}{v} \propto {B^{ - 2}}$

✓

Answer

Correct option: B.

$\frac{{\Delta V}}{V} \propto \frac{1}{B}$

b
(b) $B = \frac{{\Delta p}}{{\Delta V/V}}$ $⇒$ $\frac{1}{B} \propto \frac{{\Delta V}}{V}$

$[\Delta p = $constant]

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