On a cold winter dry, the temperature of atmosphere is `-T^(@)C`. The cylindrical dram shown is made of insultating material and it contains water at `0^(@)C`. If `L` is latent heat of fusion of ice, `rho` is density of ice and `K_(R)` is thermal conductivity of ice, the time taken for total mass of water to freeze is

Options

A. `(rhoL)/(H^(2)KT)`
B. `(rhoLH^(2))/(2KT)`
C. `(rhoLH^(2))/(KT)`
D. `(H^(2))/(rhoLKT)`

Explanation

`(rhoL)/(KT)int_(0)^(4)xdx=int_(0)^(T)dtrArrT=(rhoLH^(2))/(2KT)`