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CDS 2025 · PYQ · Physics / Buoyancy · medium

A metallic sphere of mass 1 kg and volume 2 × 10⁻⁴ m³ is completely immersed in water. The buoyant force exerted by water on the sphere is : (Given : density of water = 1000 kg/m³, g = 10 m/s²)

  1. A.0.5 N
  2. B.1.5 N
  3. C.2 N✓ Correct
  4. D.2.5 N

Explanation

The buoyant force on a fully immersed object equals the weight of the water displaced, given by F = V × ρ × g, where V is the volume of the sphere, ρ is the density of water, and g is the acceleration due to gravity. Substituting: F = (2 × 10⁻⁴ m³) × (1000 kg/m³) × (10 m/s²) = 2 N. Note that the mass of the sphere is irrelevant for calculating buoyant force; only its volume matters when fully immersed.
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