Question

The time period of an earth's satellite in circular orbit is independent of:

• A. the mass of the satellite
• B. radius of it's orbit
• C. both the mass and radius of the orbit
• D. neither the mass of the satellite nor the radius of its orbit.

Answer 1

The correct option is A the mass of the satellite

velocity of an satellite revolving around the earth is $\sqrt{\frac{GM}{r}}$

then $angularvelocity\left(\omega \right)=\sqrt{GMr}$

also time period is $T=\frac{2\pi }{\omega }$

so we got $T=\frac{2\pi }{\sqrt{GMr}}$

so T is independent of mass of satellite but it depends on the radius of the orbit.

so correct option is A.