Question

Hailstone at $0^{o}C$ falls from a height of $1km$ on an insulating surface converting whole of its kinetic energy into heat. What part of it will melt: ($g=10m/s^2,L_{ice}=330\times {10}^{3}J{kg}^{-1}$)

• A. $\frac{1}{33}$
• B. $\frac{1}{8}$
• C. $\frac{1}{33}\times {10}^{-4}$
• D. All of it will melt

Answer 1

The correct option is A $\frac{1}{33}$

Hailstone possesses potential energy due to is height. Let k be the fraction ice that melts.

Hence,

$Potentialenergy=k\times latentheat$

$mgh=kmL\Rightarrow k=\frac{gh}{L}=\frac{10\times 1000}{330\times {10}^3}\approx \frac{1}{33}$