The time period of an earth stellite in circuarl orbit is independet fo

Options

A. both the mass and radisu of the orbit
B. radius of its orbit
C. the mass of the satelllite
D. neither the mass of the satellite nor the radius of it orbits.

Answer

C

Explanation

(c ) We have, (mv^2)/(R + x) =(GmM)/((R + x)^2)`
x = height of stellite from earth surface
m = mass of satellite
`rArr v^2 = (GM)/((R +x) or v = sqrt((GM)/(R + x)`
`T = (2pi(R_x)/(v)) = (2pi(R +x)/(sqrt((GM)/(R + x))`
which is independent of mass of stellite