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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 bucket full of water through the hole is (density of ice = $900 {kg/m}^{3}$ )

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0.5 m

1 m

4 m

4.5 m

answer is A.

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Detailed Solution

\frac{V_{in}}{V} = \frac{d_{B}}{d_{w}}

$\frac{{AL}_{in}}{AL} = \frac{d_{B}}{d_{w}}$

$L_{in} = \frac{5 \times 900}{1000}$

$L_{in} = 4.5$

$L - L_{in} = 0.5$

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