First slide

Fluid statics

Question

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 = ${0.9×10}^{3} kg / m^{3}$ )

Moderate

A

2 m
B

5 m
C

9 m
D

18 m

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 with rise up to 18 m of the ice layer. So minimum length of rope required = 2 m.

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