Eight spherical droplets, each of radius `r` of a liquid of density `rho` and surface ternsion `T` coalesce to form one big drop. If `s` is the specific heat of the liquid then the rise in the temperature of the liquid in this process is

Options

A. `(2T)/(3r rhos)`
B. `(3T)/(r rhos)`
C. `(3T)/(2r rhos)`
D. `(T)/(rrhor)`

Answer

C

Explanation

`Q=msDeltatimpliesTDeltaA=msDeltat`
`T(16pir^(2))=(4)/(3)piR^(3)rhoSDeltaT`
`T(16pir^(2))=(4)/(3)(2pi)^(3)rhoSDeltaTimpliesDeltat=(3T)/(2rrhos)`