JEE Mains · Physics · STD 11 - 7. gravitation
A satellite is in an elliptical orbit around a planet \(P.\) It is observed that the velocity of the satellite when it is farthest from the planet is \(6\) time less than that when it is closest to the planet. The ratio of distances between the satellite and the planet at closest and farthest points is\(......\)
- A \(1:6\)
- B \(3:4\)
- C \(1:3\)
- D \(1:2\)
Answer & Solution
Correct Answer
(A) \(1:6\)
Step-by-step Solution
Detailed explanation
By angular momentum conservation \(r _{\min } V _{\max }= r _{\max } V _{\min } \quad \ldots( i )\) Given \(V _{\min }=\frac{ V _{ max }}{6}\) from equation \((i)\) \(\frac{r_{\min }}{r_{\max }}=\frac{V_{\min }}{V_{\max }}=\frac{1}{6}\)
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