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  4. The thickness of the ice layer on the surface of lake is 20 m. A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out? (Take density of ice = 0.9 × 103 kg/m3)

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Q. The thickness of the ice layer on the surface of lake is 20 m. A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out? (Take density of ice $= 0.9 \times 10^{3} kg/m^{3}$)

Mechanical Properties of Fluids

Solution:

Given that density of ice$= \frac{9}{10} \times$ density of water, so only$\frac{1}{10}th$ of ice will be outside the water. This means that $20$
$=\times \frac{1}{10} =2$ m of ice layer will be above the water surface.
In other words, in the hole, the water level will rise up to $18$ m of the ice layer. So minimum length of rope required $= 2$ m.