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BITSAT2010PhysicsGravitationActual

Two planets A and B have the same material density. If the radius of A is twice that of B , then the ratio of the escape velocity v _ A / v _ B is

Options

  1. A2
  2. B2
  3. C1 / 2
  4. D1 / 2

Correct answer

A. 2

Step-by-step solution

v_ e = 2 g R = 2 G M R² R= 2 G d 4 3 R³ R² R= R 2 Gd 4 3 as v_ e R for same density, v_ A v_ B =2

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