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JEE Main 202624 JanuaryEvening Shift
Exam
JEE Main
Year
2026
Date
24 January
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2026 · 24 January · Evening Shift · Physics · Mechanical Properties of Fluids

A cubical block of density _ b =600 ~kg / m^ 3 floats in a liquid...

A cubical block of density ρb=600 kg/m3\rho_{b}=600 \mathrm{~kg} / \mathrm{m}^{3} floats in a liquid of density ρe=900kg/m3\rho_{\mathrm{e}}=900 \mathrm{kg} / \mathrm{m}^{3}. If the height of block is H=8.0 cmH=8.0 \mathrm{~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:
ρe⋅g⋅A⋅hs=ρb⋅g⋅A⋅H\rho_e \cdot g \cdot A \cdot h_s = \rho_b \cdot g \cdot A \cdot H
where hsh_s is the submerged height.
Simplifying: hs=ρbρe⋅H=600900×8.0=23×8.0h_s = \frac{\rho_b}{\rho_e} \cdot H = \frac{600}{900} \times 8.0 = \frac{2}{3} \times 8.0
=5.33= 5.33 cm ≈ 5.3 cm
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