Question

# A block of ice with mass m falls into a lake. After impact, a mass of ice m5 melts. Both the block of ice and the lake have a temperature of 0o. If L represents the heat of fusion, the minimum distance the ice fell before striking the surface is

A
L5g
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B
5Lg
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C
gL5m
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D
ml5g
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Solution

## The correct option is A L5gLet the height from where the ice block falls to the lake is h.Change in potential energy PE=mgh where g is the acceleration due to gravity.The PE loss on reaching the lake is converted to KE of the ice block and is converted into heat on impact. Amount of heat required to melt mass of m5 is m5L where L is the latent heat of fusion.Equating both, we getmgh=m5L∴h=L5g

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