Properties Of Solids And Liquids Question 53

Question: Hailstone at 0°C falls from a height of 1 km on an insulating surface converting whole of its kinetic energy into heat. What part of it will melt $ (g=10m/s^{2}) $ [MP PMT 1994]

Options:

A) $ \frac{1}{33} $

B) $ \frac{1}{8} $

C) $ \frac{1}{33}\times {{10}^{-4}} $

D) All of it will melt

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Answer:

Correct Answer: A

Solution:

Suppose m¢ kg ice melts out of m kg then by using $ W=JQ $

therefore $ mgh=J({m}‘L) $ . Hence fraction of ice melts

$ =\frac{{{m}’}}{m}=\frac{gh}{JL}=\frac{9.8\times 1000}{4.18\times 80}=\frac{1}{33} $



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