Given below are two statements: Statement I: If E be the total energy… | JEE Main 2023 (8 Apr, Shift 1)

Q15JEE Main 2023 · 8 APR · SHIFT 1Easy

Satellite Energy & Weightlessness

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

Show answer and solution

Answer: (a)

$E = -\frac{GMm}{2r}$ , $U = -\frac{GMm}{r} = 2E$ , so Statement I ( $U = E/2$ ) is wrong.
$K = \frac{GMm}{2r} = |E|$ , not $|E|/2$ , so Statement II is wrong.
So the answer is (a) both statements are incorrect.

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