Which of the following statements is true/cor | vedclass

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(B) Option $(a)$ is incorrect because during clear nights,objects on the surface of the Earth radiate heat,causing the temperature near the ground to

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Newton's law of cooling,an approximate form of Stefan's law,is valid only for natural convection.

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(B) Option $(a)$ is incorrect because during clear nights,objects on the surface of the Earth radiate heat,causing the temperature near the ground to fall.Option $(c)$ is incorrect because the total energy radiated by a black body per unit time per unit area is given by Stefan's law,$E \propto T^4$,not $T^2$.For option $(d)$,the energy radiated per second is given by $P = A \varepsilon \sigma T^4 = 4 \pi r^2 \varepsilon \sigma T^4$. Calculating the ratio: $\frac{P_1}{P_2} = \left( \frac{r_1}{r_2} ight)^2 \left( \frac{T_1}{T_2} ight)^4 = \left( \frac{1}{4} ight)^2 \left( \frac{4000}{2000} ight)^4 = \frac{1}{16} 	imes 16 = 1$. Since $P_1 = P_2$,option $(d)$ is incorrect.Option $(b)$ is correct because Newton's law of cooling is an approximate form of Stefan's law of radiation and is valid for small temperature differences,typically observed in natural convection.

Which of the following statements is true/correct?

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