When a big drop of water is formed from n small drops of water, the energy loss is 3E, where, E is the energy of the bigger drop. If R is the radius of the bigger drop and r is the radius of the smaller drop then number of smaller drops (n) is?

Explanation

The energy of n small drops `-` the energy of the bigger drop = Energy loss by bigger drop
`nxx4pir^(2)xxT-4piR^(2)xxT=3xx4piR^(2)xxT`
`nxx4pir^(2)=12piR^(2)+4piR^(2)rArr n=4(R^(2))/(r^(2))`