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. \((4)^2T\) 2. \((4)^{\frac13}T\)
3. \(2T\) 4. \(8T\)
Subtopic:  Kepler's Laws |
 62%
From NCERT
NEET - 2022
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The time period of a geostationary satellite is \(24~\text{h}\) at a height \(6R_E\) \((R_E\) is the radius of the earth) from the surface of the earth. The time period of another satellite whose height is \(2.5R_E\) from the surface will be:
1. \(6\sqrt{2}~\text{h}\)
2. \(12\sqrt{2}~\text{h}\)
3. \(\frac{24}{2.5}~\text{h}\)
4. \(\frac{12}{2.5}~\text{h}\)

Subtopic:  Kepler's Laws |
 66%
From NCERT
NEET - 2019
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