Two planets `A` and `B` are revolving in circular orbits around a fixed sun. Time period of the planet `B` is `2sqrt(2)` times that of planet `A`. Find the ratio of solar constant for planet `A` to that of `B`. Neglect gravitational force between the planets.

Answer

4

Explanation

`T^(2)propR^(3)`
`RpropT^(2//3)`
So, radius of planet `B` is `Rprop(2sqrt(2))^(2//3)=2` times that of planet `A`.
`implies` Radius of `A` is half that of `B`.
Since `Iprop1/(R^(2))`
So Intensity of sunrays at planet `A` to that at `B` is
`Iprop1/((1//2)^(2))=4` times