JEE Mains · Physics · STD 11 - Gravitation
- JEE Mains 2023
- Medium
- MCQ
Given below are two statements: Statement \(I:\) If \(E\) be the total energy of a satellite moving around the earth, then its potential energy will be \(\frac{E}{2}\). Statement \(II:\) The kinetic energy of a satellite revolving in an orbit is equal to the half the magnitude of total energy \(E\). In the light of the above statements, choose the most appropriate answer from the options given below
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) Both Statement \(I\) and Statement \(II\) are incorrect
Step-by-step Solution
Detailed explanation
Energy of satellite in orbit \(E=\frac{- GMm }{2 R }\).
\(PE\) of satellite in orbit \(U=\frac{-G M m}{R}\)
\(\Rightarrow U =2 E\)
\(KE\) of satellite in orbit \(K = E - U\)
\(K =\frac{ GMm }{2 R }=(- E )\)
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