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JEE Main20264 April 2026Morning ShiftPhysicsMechanical Properties of SolidsActual

The increase in the pressure required to decrease the volume ( V) of water is 6.3 10^7 N/m ^2 . The percentage decrease in the volume is _____. (Bulk modulus of water = 2.1 10^9 N/m ^2 .)

Options

  1. A2 %
  2. B3 %
  3. C6 %
  4. D4 %

Correct answer

B. 3 %

Step-by-step solution

Bulk modulus is given by B = P - V V The fractional decrease in volume is - V V = P B Substituting the given values: - V V = 6.3 10^7 2.1 10^9 = 3 10⁻² The percentage decrease in volume is (- V V ) 100 Percentage decrease = 3 10⁻² 100 = 3 % Answer: 3 %

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