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10-1.Thermometry, Thermal Expansion and Calorimetry
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A stationary object at $4°C$ and weighing $3.5\, kg$ falls from a height of $2000\, m$ on a snow mountain at $0°C$. If the temperature of the object just before hitting the snow is $0°C$ and the object comes to rest immediately $(g = 10\,m/{s^2})$ and (latent heat of ice$ = 3.5 \times {10^5}\,joule/\sec $), then the object will melt
A
$2\, kg$ of ice
B
$200\, gm$ of ice
C
$20\, gm$ ice
D
$2\, gm$ of ice
Solution
(b) Suppose $m$ $kg$ of ice melts then by using $\mathop W\limits_{({\rm{Joules}})} = \mathop H\limits_{{\rm{(Joules)}}} $
$\Rightarrow$ $Mgh = mL$ $\Rightarrow$ $3.5 \times 10 \times 2000 = m \times 3.5 \times {10^5}$
$\Rightarrow$ $m = 0.2\,kg = 200\,gm$
Standard 11
Physics
