JEE Mains · Physics · STD 11 - 7. gravitation
The mass of the moon is \(1 / 144\) times the mass of a planet and its diameter \(1 / 16\) times the diameter of a planet. If the escape velocity on the planet is \(\mathrm{v}\), the escape velocity on the moon will be _______.
- A \(\frac{\mathrm{v}}{3}\)
- B \(\frac{\mathrm{v}}{4}\)
- C \(\frac{\mathrm{v}}{12}\)
- D \(\frac{v}{6}\)
Answer & Solution
Correct Answer
(A) \(\frac{\mathrm{v}}{3}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{V}_{\text {escape }}=\sqrt{\frac{2 \mathrm{GM}}{\mathrm{R}}}\) \(\mathrm{V}_{\text {planet }}=\sqrt{\frac{2 \mathrm{GM}}{\mathrm{R}}}=\mathrm{V}\)…
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