NTA Abhyas JEE Main2020PhysicsGravitationPractice
g e and g p denote the acceleration due to gravity on the surface of the earth and another planet whose mass and radius are twice that of the earth, then
Options
- Ag p = g e 2
- Bg p = g e
- Cg p = 2 g e
- Dg p = g e 2
Correct answer
A. g p = g e 2
Step-by-step solution
Acceleration due to gravity is given by,                                     g = GM R 2 where G is gravitational constant. For   earth :   g e = GM e R e 2 For   planet :   g p = GM p R p 2 or                              g e g p = M e M p   × R p 2 R e 2