MHT CET202121 Sep 2021Evening ShiftPhysicsGravitationActual
The ratio of energy required to raise a satellite of mass ' m ' to height ' h ' above the earth's surface to that required to put it into the orbit at same height is [ R = radius of earth ]
Options
- Ah R
- B2 ~h R ^2
- C3 ~h R ^2
- D2 h R
Correct answer
D. 2 h R
Step-by-step solution
Energy required to raise to satellite of m to a height h is equal to change in its potential energy. W =- GMm R + h + GMm R = GMmh ( R + h ) R The energy of a satellite moving in a circular orbit is given by aligned & E = GMm 2( R + h ) & W E = 2 ~h R aligned