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10-1.Thermometry, Thermal Expansion and Calorimetry
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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 $(g = 10\,m/{s^2})$
A
$\frac{1}{{33}}$
B
$\frac{1}{8}$
C
$\frac{1}{{33}} \times {10^{ - 4}}$
D
All of it will melt
Solution
(a) Suppose $m' \,kg$ ice melts out of $m\, kg$ then by using
$W = JQ$ $\Rightarrow$ $mgh = J(m'L)$. Hence fraction of ice melts
$ = \frac{{m'}}{m} = \frac{{gh}}{{JL}} = \frac{{9.8 \times 1000}}{{4.18 \times 80}} = \frac{1}{{33}}$
Standard 11
Physics
