1.

Two planets A and B travel counter clockwise is circular orbits around a fixed star. The radii of their orbits are in the ratio `1 : 4`. At some time, they are aligned as shown in the figure, making a straight line with the star. After a certain time, planet A comes back to its initial positio completing one full circle about the star in the same time, angular displacement of the planet B is : A. `22.5^(@)`B. `45^(@)`C. `180^(@)`D. `360^(@)`

Answer» Correct Answer - B
`T^(2) xx r^(3)`
So `(T_(A))/(T_(B))=((r_(A))/(r_(B)))^(3//2)=(1)/(8)`
As angular displacement of A is `360^(@)`, angular displacement of B will be `(360^(@))/(8) = 45^(@)`


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