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JEE Main202117 Mar 2021Evening ShiftPhysicsMechanical Properties of SolidsActual

An object is located at 2 km beneath the surface of the water. If the fractional compression Δ V V is 1 . 36 % , the ratio of hydraulic stress to the corresponding hydraulic strain will be ______[Given: density of water is 1000 kg m - 3 and g = 9 . 8 m s - 2 .

Options

  1. A1 . 96 × 10 7   N   m - 2
  2. B1 . 44 × 10 7   N   m - 2
  3. C2 . 26 × 10 9   N   m - 2
  4. D1 . 44 × 10 9   N   m - 2

Correct answer

D. 1 . 44 × 10 9   N   m - 2

Step-by-step solution

P = h ρ g β = p Δ V V = 2 × 10 3 × 10 3 × 9 . 8 1 . 36 × 10 - 2 = 1 . 44 × 10 9   N   m - 2

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