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
Show Answer
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} $
