A large block of ice $5 m$ thick has a vertical hole drilled in it and is floating in a lake. The minimum length of the rope required to draw a bucketfulll of water through the hole is (density of ice= $900 k m / m^{3}$ )

0.5 m

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1 m

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4 m

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4.5 m

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Solution

The correct option is A $0.5 m$
Area of ice, $A$

Weight of ice, $W = ρ_{i c e} g L$

Weight of water, $W = ρ_{w a t e r} g h$

From condition of equilibrium.

Weight of water = weight of ice

$ρ_{i c e} g L = ρ_{w a t e r} g h$

$h = \frac{ρ_{i c e}}{ρ_{w a t e r}} L = \frac{900}{1000} \times 5 = 4.5 m$

Required length of rope, $5 - 4.5 = 0.5 m$

Hence, length of bucket required to draw water is $(5 - 4.5) = 0.5 m$ .

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A large block of ice 5m thick has a vertical hole drilled in it and is floating in a lake. The minimum length of the rope required to draw a bucketfulll of water through the hole is (density of ice=900km/m3)

A large block of ice $5 m$ thick has a vertical hole drilled in it and is floating in a lake. The minimum length of the rope required to draw a bucketfulll of water through the hole is (density of ice= $900 k m / m^{3}$ )