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JEE Main2008PhysicsGravitationActual

A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11 kms ⁻¹ , the escape velocity from the surface of the planet would be

Options

  1. A1.1 kms ⁻¹
  2. B11 kms ⁻¹
  3. C110 kms ⁻¹
  4. D0.11 kms ⁻¹

Correct answer

C. 110 kms ⁻¹

Step-by-step solution

v_ esc = 2 GM R = 2 G 10 M R / 10 =10 11=110 ~km / s

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