NEET · Physics · STD 11 - 7. gravitation
The escape velocity from the Earth's surface is \(v .\) The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is :
- A \(v\)
- B \(2 v\)
- C \(3 v\)
- D \(4 v\)
Answer & Solution
Correct Answer
(D) \(4 v\)
Step-by-step Solution
Detailed explanation
\(v_{e}=\sqrt{\frac{2 G M}{R}}=\sqrt{\frac{2 G}{R} \times \frac{4}{3} \pi R^{3} \rho}\) \(=\sqrt{\frac{8 \pi \mathrm{G} \rho}{3} R^{3}}\)
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