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Question

A block of ice with mass m falls into a lake. After impact, a mass of ice m/5 melts. Both the block of ice and the lake have a temperature of 0C. 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 L5g
Let it fall from h height.
When mass m of ice will fall over lake its potential energy will change to heat energy, and that heat will melt ice.

mgh=mL/5, (Potential energy to latent heat energy)

so, h=L/5g

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