MHT CET202311 May 2023Evening ShiftPhysicsGravitationActual
The radius of the orbit of a geostationary satellite is (mean radius of earth is ' R ', angular velocity about own axis is ' ' and acceleration due to gravity on earth's surface is ' g ')
Options
- A( gR ^2 ^2 )^ 1 3
- B( gR ^2 ^2 )^ 2 3
- C( gR ^2 ^2 )^ 1 2
- DgR ^2 ^2
Correct answer
A. ( gR ^2 ^2 )^ 1 3
Step-by-step solution
mr ^2= GMm r ^2 ^2= G M r^3 = g R^2 r^3 ( g= G M R^2 ) Radius of the orbit of the satellite is: r = ( gR ^2 ^2 )^ 1 3