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A large block of ice 5 \mathrm{~m} thick has a vertical hole drilled through it and is floating in the middle of a lake. The minimum length of the rope required to scoop up bucket full of water through the hole is (the relative density of ice =0.9 )

Option: 1

1 m


Option: 2

0.9 m


Option: 3

0.5 m


Option: 4

0.45 m


Answers (1)

best_answer

Let h be the height of the block and A its area of cross-section. Weight of ice block \mathrm{=A h g \times 0.9}. If x is the height of the block immersed in water, then the weight of water displaced \mathrm{=A x g. } Equating the two we get \mathrm{x=0.9 h}. Height above the surface of water \mathrm{=h-0.9 h=0.1 h=0.1 \times 5 \mathrm{~m}=0.5 \mathrm{~m}}.

Hence the correct choice is (c).

Posted by

Irshad Anwar

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