A piece of ice at `0^(@)C` falls from rest into a take of water which is also at `0^(@)C` and 0.5% of ice melts. Find the minimum height from which the ice falls.

Explanation

Let `alpha` mass 'm' of ice falls from height h.
Loss in potential energy=mgh,
Heat produced =JH, mgh `=Jxx(0.5)/(100)mL_(ice)`
`h=(0.5L_(ice))/(100xxg)`
`=(0.5xx(4.2J//"cal")(80xx10^(3) "cal"//kg))/(100xx9.8m//x^(2))=171.43m`