1. Tardigrade
  2. Question
  3. Physics
  4. The escape velocity from the earth is about 11 km s- 1 . The escape velocity from a planet having twice the radius and the same mean density as the earth is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The escape velocity from the earth is about $11 \, km \, s^{- 1}$ . The escape velocity from a planet having twice the radius and the same mean density as the earth is

NTA AbhyasNTA Abhyas 2022

Solution:

$v=\sqrt{\frac{2 GM}{R}}=\sqrt{2 G \frac{4}{3} \pi R^{2} d}$
$v \, \propto \, R\sqrt{d}$
$v=2v_{0}$