Two planets orbit a star in circular paths with radii \(R\) and \(4R,\) respectively. At a specific time, the two planets and the star are aligned in a straight line. If the orbital period of the planet closest to the star is \(T,\) what is the minimum time after which the star and the planets will again be aligned in a straight line?

1. \((4)^2T\) 2. \((4)^{\frac13}T\)
3. \(2T\) 4. \(8T\)
Subtopic:  Kepler's Laws |
 66%
From NCERT
NEET - 2022
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch

The time period of a geostationary satellite is \(24~\text{hr}\) 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. \(6\sqrt{2}~\text{hr}\) 2. \(12\sqrt{2}~\text{hr}\)
3. \(\frac{24}{2.5}~\text{hr}\) 4. \(\frac{12}{2.5}~\text{hr}\)
Subtopic:  Kepler's Laws |
 68%
From NCERT
NEET - 2019
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2026 - Target Batch