JEE Mains · Physics · STD 11 - Gravitation
- JEE Mains 2023
- Medium
- MCQ
Every planet revolves around the sun in an elliptical orbit : \(A.\) The force acting on a planet is inversely proportional to square of distance from sun. \(B.\) Force acting on planet is inversely proportional to product of the masses of the planet and the sun \(C.\) The centripetal force acting on the planet is directed away from the sun. \(D.\) The square of time period of revolution of planet around sun is directly proportional to cube of semi-major axis of elliptical orbit. Choose the correct answer from the options given below :
Pick an option to check your answer.
Answer & Solution
Correct Answer
(A) \(A\) and \(D\) only
Step-by-step Solution
Detailed explanation
\(F =\frac{ Gm _1 m _2}{ r ^2}\)
\(\Rightarrow F \propto \frac{1}{ r ^2}\)
\(\Rightarrow F \propto m _1 m _2\)
\(\Rightarrow \text { This force provides centripetal force and acts }\)
towards sun
\(\Rightarrow T ^2 \propto a ^3 \text { (Kepler's third law) }\)
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