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KVPY2018PhysicsMechanical Properties of Fluids

A very large block of ice of the size of a volleyball court and of uniform thickness of 8   m is floating on water. A person standing near its edge wishes to fetch a bucketful of water using a rope. The smallest length of rope required for this is about

Options

  1. A3 . 6   m
  2. B1 . 8   m
  3. C0 . 9   m
  4. D0 . 4   m

Correct answer

C. 0 . 9   m

Step-by-step solution

Fraction of thickness of ice block out of water is x = 1 - ρ ice ρ water = 1 - 0 . 9 1 or x = 0 . 1 So, minimum length of rope required ≈ thickness of ice × 0 . 1 = 8 × 0 . 1 = 0 . 8 m Hence, nearest option is 0 . 9 m .

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