During clear nights object on surface of earth radiate out heat and temperature falls. Hence option is wrong.

The total energy radiated by a body per unit time per unit area E ∝ ∝ T 4 . Hence option is wrong.

Energy radiated per second is given by $\frac{Q}{t} = PA \epsilon \sigma T^{4}$

$\Rightarrow \frac{P_1}{P_2} = \frac{A_1}{A_2} \cdot \left(\frac{T_1}{T_2}\right)^4 = \left(\frac{r_1}{r_2}\right)^2 \cdot \left(\frac{T_1}{T_2}\right)^4 = \left(\frac{1}{4}\right)^2 \left(\frac{4000}{200}\right)^4 = \frac{1}{1}$

Q  P 1 = P 2 , hence option is wrong.

Newton's law is an approximate form of Stefan's law of radiation and works well for natural convection.