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  4. A piece of ice falls from a height h so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of h is: [Latent heat of ice is 3.4 × 105 J/kg and g = 10 N/kg]

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Q. A piece of ice falls from a height h so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of h is : [Latent heat of ice is $3.4 \times 10^5 \, J/kg$ and $g = 10 \, N/kg$]

NEETNEET 2016Thermal Properties of Matter

Solution:

$\frac{mgh}{4} = mL$
$ \Rightarrow h = \frac{4L}{g} = \frac{4 \times3.4 \times10^{5}}{10} = 136 \, km $