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NDA 1 2025 GAT, question 137

Topic: Physics

Q137

When a solid body is partially or completely immersed in a fluid, the fluid exerts an upward force on the body. The magnitude of the force is equal to

  1. the mass of the body

  2. the weight of the displaced fluid by the body

Which of the above is/are correct ?

  1. (a) 1 only
  2. (b) 2 onlyCorrect answer
  3. (c) Both 1 and 2
  4. (d) Neither 1 nor 2

Solution.

Answer: (b) 2 only

  1. Archimedes’ principle gives buoyant force FB=ρfluidgVdisplacedF_{B} = \rho_{fluid}gV_{displaced}, the weight of the displaced fluid.
  2. Statement 2 is correct.
  3. Statement 1 confuses mass with force and is dimensionally wrong.