JEE Mains · Physics · STD 11 - 7. gravitation
A satellite of \(10^3 \mathrm{~kg}\) mass is revolving in circular orbit of radius \(2 \mathrm{R}\). If \(\frac{10^4 \mathrm{R}}{6} \mathrm{~J}\) energy is supplied to the satellite, it would revolve in a new circular orbit of radius _______.
(use \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2, \mathrm{R}=\) radius of earth)
- A \(2.5 \mathrm{R}\)
- B \(3 \mathrm{R}\)
- C \(4 \mathrm{R}\)
- D \(6 \mathrm{R}\)
Answer & Solution
Correct Answer
(D) \(6 \mathrm{R}\)
Step-by-step Solution
Detailed explanation
Total energy \(=\frac{-\mathrm{GMm}}{2(2 \mathrm{R})}\) if energy \(=\frac{10^4 \mathrm{R}}{6}\) is added then \(\frac{-\mathrm{GMm}}{4 \mathrm{R}}+\frac{10^4 \mathrm{R}}{6}=\frac{-\mathrm{GMm}}{2 \mathrm{r}}\) where \(r\) is new radius of revolving and \(g=\frac{G M}{R^2}\)…
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