A stationary objected at `0^(@)C` and weighing 3.5 kg falls from a height of 2000m on a snow mounation 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 xx 10^(5) "joule"//s)` then the mass of ice that will melt is -

Options

A. 2 kg
B. 200 gram
C. 20 gram
D. 2 gram

Answer

2

Explanation

Suppose m kg of ice melts then by using
`underset(("Joules")) W = underset(("Joules")) H`
`rArr MgH = mL rArr 3.5 xx 10 xx 2000 = m xx 3.5 xx 10^(5)`
`rArr m= 0.2 kg = 200 gm`