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KCET2019PhysicsMechanical Properties of Fluids

An aluminium sphere is dipped into water. Which of the following is true?

Options

  1. ABuoyancy in water at ( 0^ C ) will be same as that in water at ( 4^ C )
  2. BBuoyancy will be less in water at ( 0^ C ) than that in water at ( 4^ C )
  3. CBuoyancy may be more or less in water at ( 4^ C ) depending on the radius of the sphere
  4. DBuoyancy will be more in water at ( 0 ^ C ) than that in water at ( 4 ^ C )

Correct answer

B. Buoyancy will be less in water at ( 0^ C ) than that in water at ( 4^ C )

Step-by-step solution

As buoyancy at (0^ C , F _ b = V ₀ ~g ) and buoyancy at (4^ C , F _ b ^ = V ₄ ~g ) ( F_ b F_ b ^ = ₀ ₄ <1 ) (density of water at (4^ C ) is maximum) i.e., ( F _ b < F _ b ^ )

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