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An ice block at 0^(@)C and of mass m is ...

An ice block at `0^(@)C` and of mass m is dropped from height `'h'` such that the loss in gravitational potential energy of block is exactly equal to the heat required to just completely melt the ice. Taking latent heat of fusion of ice `= 80 cal//gm`, acceleration due to gravity `= 10 m//s^(2)` and mechanical equivalent of heat `= 4.2 J//Cal`. the value of `'h'` is

A

8m

B

8 km

C

33.6 m

D

33.6 km

Text Solution

Verified by Experts

The correct Answer is:
D
From given statement
`mgh=mL ` or `gh=L`
or `10xxh=(80xx4.2)/(10^(-3))` or `h=33.6xx10^(3)` meter =33.6 km
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