First slide

Change of state

Question

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 $3.4 \times 10^{5} J / k g a n d g = 10 N / k g]$

Moderate

A

34 km
B

544 km
C

136 km
D

68 km

Solution

$\frac{mgh}{4} = mL$
$\Rightarrow h = \frac{4 L}{g} = \frac{4 \times 3.4 \times 10^{5}}{10} = 136 km$

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