MHT CET202410 May 2024Morning ShiftPhysicsGravitationActual
The radius and mean density of the planet are four times as that of the earth. The ratio of escape velocity at the earth to the escape velocity at a planet is
Options
- A1: 8
- B1: 8
- C1: 3
- D1: 3
Correct answer
B. 1: 8
Step-by-step solution
aligned v _ e & = 2 GM R v _ e & = R 8 3 G . ( M = 4 3 R ^3 ) aligned aligned & Also, _ p =4 _ E and R _ p =4 R _ E & v _ e v _ p = R _ E _ E 4 R _ E 4 _ E = 1 8 =1: 8 aligned