Question

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 $(g = 10m/s^{2})$ 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

Answer 1

Answer: (B)

200 gm of ice

Answer 2

Suppose m kg of ice melts then by using

$\underset{(\text{Joules})}{W} = \underset{(\text{Joules})}{H}$

⇒ $Mgh = mL$ ⇒ $3.5 \times 10 \times 2000 = m \times 3.5 \times 10^{5}$

⇒ $m = 0.2kg = 200gm$