STANDARD Physics Kepler's Laws MCQ Question
A small planet is revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force between the planet and the star were proportional to R⁻⁵/₂, then T would be proportional to
R³/₂
R³/₅
R⁷/₂
R⁷/₄
Correct Answer
Detailed Explanation
According to the question, the gravitational force between the planet and the star is F ∝ 1/R⁵/₂. For motion of a planet in a circular orbit, T² ∝ R⁷/₂ or T ∝ R⁷/₄.
Found an issue with this question?
Related Questions
More from Gravitation
More from
Match Column-I with Column-II. Column-I Column-II (a) Gravitational force between two masses (i) Proportional to the inverse square of dista...
Imagine a diagram showing a point mass m placed at both a height h above and a depth d below the surface of the Earth. Which equation correctly repres...
Match Column-I with Column-II. Column-I Column-II (a) Gravitational constant (G) (i) Unity of forces acting on m (b) Principle of superpos...