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NDA 2020 GAT · General Knowledge · Fluids and Pressure · medium

The density of ice is 900 kg/m^3 and that of water is 1000 kg/m^3. A floating block of ice has what fraction of its volume below the water surface?

Single correct option

The density of ice is 900 kg/m^3 and that of water is 1000 kg/m^3. A floating block of ice has what fraction of its volume below the water surface?
  1. A. 1/10
  2. B. 8/9
  3. C. 9/10
  4. D. 10/9
Show answer and solution

Answer: (C) 9/10

For floating, weight equals buoyant force: V x 900 x g = V_sub x 1000 x g, so V_sub/V = 900/1000 = 9/10. Hence only one-tenth of an iceberg is visible. The value 10/9 is impossible because the submerged fraction cannot exceed one.
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Original question written in the NDA 2020 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