The escape velocity for a planet is `v_e`. A particle is projected from its surface with a speed `v`. For this particle to move as a satellite around the planet.

Options

A. `(v_(e))/2 lt v lt v_(e)`
B. `(v_(e))/(sqrt(2)) lt v lt v_(e)`
C. `v_(e) lt v lt sqrt(2)v_(e)`
D. `(v_(e))/(sqrt(2)) lt v lt (v_(e))/2`

Answer

B

Explanation

For a satallite close to earth `V_(O)=sqrt(gR)=v_(min)`
Escape velocity `v_(e)=sqrt(2gR)=v_(min)`
`V_(O)=(v_(e))/(sqrt(2))`
`(v_(e))/(sqrt(2)) lt v lt v_(e)`