Sponsor Area

Gravitation

Question
CBSEENPH11020478

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

  • the mass of the satellite

  • radius of its orbit

  • both the mass and radius of the orbit

  • neither the mass of the satellite nor the radius of its orbit.

Solution

A.

the mass of the satellite

Time period of satellite
straight T space equals space 2 straight pi space square root of fraction numerator left parenthesis straight R plus straight h right parenthesis cubed over denominator GM subscript straight e end fraction end root
where R + h = orbital radius of satellite,
Me = mass of earth Thus, time period does not depend on the mass of the satellite.