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JEE Main 2025 (8 Apr, Shift 2) · Bulk Modulus & Compressibility

Bulk Modulus & Compressibility question from JEE Main 2025 (8 Apr, Shift 2)

Q5JEE Main 2025 · 8 APR · SHIFT 2Medium

Bulk Modulus & Compressibility

A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to a change of volume of 0.8 cm3. If the bulk modulus of the liquid is 2 GPa, the initial volume of the liquid was _______ litre. (Take 1 atm = 105 Pa)

Numerical answer type. Work it out, then open the answer.

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Answer: 4

  1. B=ΔPΔV/V⇒V=B ΔVΔPB = \frac{\Delta P}{\Delta V/V} \Rightarrow V = \frac{B\,\Delta V}{\Delta P}
  2. ΔP=5−1=4 atm=4×105 Pa\Delta P = 5 - 1 = 4\ \text{atm} = 4\times10^{5}\ \text{Pa}, ΔV=0.8×10−6 m3\Delta V = 0.8\times10^{-6}\ \text{m}^3
  3. V=2×109×0.8×10−64×105=4×10−3 m3V = \frac{2\times10^{9}\times0.8\times10^{-6}}{4\times10^{5}} = 4\times10^{-3}\ \text{m}^3
  4. So V=4V = 4 litre.
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