Question

Orbital velocity of an artificial satellite does not depend upon

• A. mass of the earth
• B. mass of the satellite
• C. radius of the earth
• D. acceleration due to gravity

Answer 1

Answer: (B)

Orbital velocity of satellite $v_o=\sqrt{g{R}_e}$
$=\sqrt{\frac{G{M}_e}{R_e^2}\times R_e}$
$\left\{\therefore g=\frac{G{M}_e}{R_e^2}\right\}$
$=\sqrt{\frac{G{M}_e}{R_e}}$
Hence, linear velocity of satellite in circular orbit does not depend on the mass of satellite.