Net solar radiation of $1360 \mathrm{~W} \mathrm{~m}^{-2}$ is incident on the surface of a still lake having mixed layer depth of $20$ m. Find the change in temperature $\text{(in SI units)}$ of the mixed layer of the lake for a day length of $8$ hours. $\text{(Rounded off to 2 decimal places)}$
Assume that there is no variation in solar radiation in a day and all radiation incident on the surface is absorbed uniformly throughout the mixed layer $\text{(Density of lake water is $1025 \mathrm{~kg} \mathrm{~m}^{-3}$ and Specific heat capacity $\left(C_{p}\right)$ of lake water is $3850$ $\mathrm{J} \mathrm{kg}^{-1} \mathrm{~K}^{-1}$ )}$.
