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JEE Main 2021 (26 Feb, Shift 1) · Bulk Modulus & Compressibility

Bulk Modulus & Compressibility question from JEE Main 2021 (26 Feb, Shift 1)

Q14JEE Main 2021 · 26 FEB · SHIFT 1Medium

Bulk Modulus & Compressibility

The normal density of a material is $\rho$ and its bulk modulus of elasticity is K. The magnitude of increase in density of material, when a pressure P is applied uniformly on all sides, will be:

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Answer: (c)

$\rho V$ = constant, so $\frac{\Delta\rho}{\rho} = \frac{\Delta V}{V}$ (in magnitude).
$\frac{\Delta V}{V} = \frac{P}{K}$
$\Delta\rho = \frac{\rho P}{K}$
So the answer is (c).

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