The solar constant on the surface of the eart | vedclass

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(B) The solar constant $S$ is defined as the solar energy incident per unit area per unit time at the distance of the Earth from the Sun.According to

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$\frac{S}{(5.3)^2}$

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(B) The solar constant $S$ is defined as the solar energy incident per unit area per unit time at the distance of the Earth from the Sun.According to the inverse square law,the intensity of radiation $I$ from a point source is inversely proportional to the square of the distance $r$ from the source,i.e.,$I \propto \frac{1}{r^2}$.Let $S$ be the solar constant at Earth's distance $r_E = 1 \, AU$.Let $S'$ be the solar constant at a distance $r_P = 5.3 \, AU$.Then,$\frac{S'}{S} = \frac{r_E^2}{r_P^2} = \left(\frac{1}{5.3}\right)^2$.Therefore,$S' = \frac{S}{(5.3)^2}$.

$(a)$ Gravitational constant $(G)$	$(i)$ $[L^{2}T^{-2}]$
$(b)$ Gravitational potential energy	$(ii)$ $[M^{-1}L^{3}T^{-2}]$
$(c)$ Gravitational potential	$(iii)$ $[LT^{-2}]$
$(d)$ Gravitational intensity	$(iv)$ $[ML^{2}T^{-2}]$

The solar constant on the surface of the earth is $S$. What will be its value on the surface of another planet which is about $5.3 \, AU$ away from the sun?

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