Two planets are in a circular orbit of radius \(R\) and \(4R\) about a star. At a specific time, the two planets and the star are in a straight line. If the period of the closest planet is \(T,\) then the star and planets will again be in a straight line after a minimum time:
1. | \(6\sqrt{2}~\text{h}\) | 2. | \(12\sqrt{2}~\text{h}\) |
3. | \(\dfrac{24}{2.5}~\text{h}\) | 4. | \(\dfrac{12}{2.5}~\text{h}\) |