TS EAMCET · Physics · Gravitation
The ratio of orbital velocity of a body near to the surface of a planet and escape velocity of a body from the surface of the same planet is
- A \(\sqrt{2}: 1\)
- B \(\sqrt{5}: 1\)
- C \(1: \sqrt{2}\)
- D \(1: \sqrt{5}\)
Answer & Solution
Correct Answer
(C) \(1: \sqrt{2}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text {Orbital velocity }=\sqrt{\frac{\mathrm{GM}}{\mathrm{r}}} \\ & \text { Escape velocity }=\sqrt{\frac{2 \mathrm{GM}}{\mathrm{r}}} \\ & \text { Ratio }=\frac{\sqrt{\frac{\mathrm{GM}}{\mathrm{r}}}}{\sqrt{\frac{2…
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