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JEE Main202624 January 2026Evening ShiftPhysicsMechanical Properties of FluidsActual

A cubical block of density _ b =600 ~kg / m ³ floats in a liquid of density _ e =900 kg / m ³ . If the height of block is H=8.0 ~cm then height of the submerged part is _ _ _ _ cm.

Options

  1. A6.3
  2. B4.3
  3. C5.3
  4. D7.3

Correct answer

C. 5.3

Step-by-step solution

For a floating cubical block in equilibrium, the buoyant force equals the weight: _e g A h_s = _b g A H where h_s is the submerged height. Simplifying: h_s = _b _e H = 600 900 8.0 = 2 3 8.0 = 5.33 cm ≈ 5.3 cm

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