JEE Mains · Physics · STD 11 - 7. gravitation
The escape velocity from a spherical planet A is 10 km/s. The escape velocity from another planet B whose density and radius are 10% of those of planet A, is __________ m/s.
- A 1000
- B \( 200\sqrt{5} \)
- C \( 100\sqrt{10} \)
- D \( 1000\sqrt{2} \)
Answer & Solution
Correct Answer
(C) \( 100\sqrt{10} \)
Step-by-step Solution
Detailed explanation
\( V_{e}=\sqrt{\frac{2GM}{R}}=\sqrt{\frac{2G\times\rho\times\frac{4\pi R^{3}}{3}}{R}}\Rightarrow V_{e}\propto\sqrt{\rho}\times R \)…
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