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NDA 2018 GAT · General Knowledge · Fluids and Pressure · hard

A solid body floats in water with three-fourths of its volume submerged. The density of the body is (density of water = 1000 kg/m³)

Single correct option

A solid body floats in water with three-fourths of its volume submerged. The density of the body is (density of water = 1000 kg/m³)
  1. A. 250 kg/m³
  2. B. 1333 kg/m³
  3. C. 750 kg/m³
  4. D. 1000 kg/m³
Show answer and solution

Answer: (C) 750 kg/m³

For floating, weight equals the buoyant force: ρ_body × V × g = ρ_water × (3V/4) × g, so ρ_body = 750 kg/m³. The value 250 comes from using the fraction above water, and 1333 from inverting the ratio. A density of 1000 would make the body float fully submerged.
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Original question written in the NDA 2018 GAT pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake