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JEE Main202224 Jun 2022Morning ShiftPhysicsMechanical Properties of SolidsActual

The bulk modulus of a liquid is 3 × 10 10 Nm - 2 . The pressure required to reduce the volume of liquid by 2 % is :

Options

  1. A3 × 10 8   N   m - 2
  2. B6 × 10 8   N   m - 2
  3. C9 × 10 8   N   m - 2
  4. D12 × 10 8   N   m - 2

Correct answer

B. 6 × 10 8   N   m - 2

Step-by-step solution

Bulk modulus B = Volumetric   stress Volumetric   strain = - ∆ P ∆ V V Then, ∆ P = B × - ∆ V V = 3 × 10 10 × 2 100 = 6 × 10 8   N   m - 2

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