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JEE Main 2021 (26 Feb, Shift 1) · Density, Compressibility & Pascal's Law

Density, Compressibility & Pascal's Law question from JEE Main 2021 (26 Feb, Shift 1)

Q18JEE Main 2021 · 26 FEB · SHIFT 1Medium

Density, Compressibility & Pascal's Law

The normal density of a material is ρ\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)

  1. Mass is fixed, so ρV=\rho V = constant ⇒Δρρ=∣ΔV∣V\Rightarrow \dfrac{\Delta \rho}{\rho} = \dfrac{|\Delta V|}{V}.
  2. From bulk modulus: ∣ΔV∣V=PK\dfrac{|\Delta V|}{V} = \dfrac{P}{K}.
  3. Δρ=ρPK\Delta \rho = \dfrac{\rho P}{K}
  4. So the answer is (c) ρPK\dfrac{\rho P}{K}.
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