The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of

ANS:D - all the above.

1. An initial velocity of 8.04 km/sec at a height of 285 km:
   • This scenario describes a satellite orbiting relatively close to the Earth's surface. The velocity provided is sufficient to counteract the gravitational force, allowing the satellite to maintain a stable circular orbit at this altitude.
2. An initial velocity of 11.11 km/sec at a height of 37,400 km:
   • This situation represents a satellite in geostationary orbit. The velocity of 11.11 km/sec is precisely the speed required for a satellite to maintain a circular orbit at this specific altitude. Geostationary satellites orbit at the same rate as the Earth's rotation, appearing stationary relative to a fixed point on the Earth's surface.
3. An initial velocity of 11.26 km/sec, the satellite escapes the pull of the Earth:
   • This velocity exceeds the escape velocity of the Earth at the given altitude. The escape velocity is the minimum speed required for an object to overcome the gravitational pull of the Earth and move into space indefinitely. Thus, a satellite projected with an initial velocity of 11.26 km/sec or higher will escape Earth's gravitational influence and not remain in orbit. Instead, it will follow a hyperbolic or parabolic trajectory away from the Earth.