Q41 / 56 · KVPY 2018 (SA) · Physics

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

  • A
    3.6 m
  • B
    1.8 m
  • Correct answer
    C
    0.9 m
  • D

    0.4 m

Solution

Fraction of thickness of ice block out of water is

x=1-ρice ρwater =1-0.91 or x=0.1

Figure

So, minimum length of rope required ≈ thickness of ice ×0.1=8×0.1=0.8 m
Hence, nearest option is 0.9 m.

Hence, the correct answer is option: 'C'.

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