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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 (Take, latent heat of ice is 3.4 X 105 ]/kg and g = 10 N/kg)

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a

544 km

b

136 km

c

68 km

d

34 km

answer is B.

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Detailed Solution

According to the conservation of energy, energy gained by the ice during its fall from height h is given byE = mghAs given, only one quarter of its energy is absorbed by the ice.So,   mgh4=mLf⇒ h=mLf×4mg=Lf×4g=3.4×105×410=13.6×104= 136000 m = 136km
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