Orbits of Artificial Satellites

State with reasons whether the following sentences are true or false.
If the height of the orbit of a satellite increases, its velocity must also increase.

State with reasons whether the following sentences are true or false.
A satellite needs a specific velocity to revolve in a specific orbit.

State with reasons whether the following sentences are true or false
The escape velocity on the moon is less than that on the earth.

The initial velocity (during launching) of the Mangalyaan must be greater than _____ of the earth.

Complete the following table.

If the height of a satellite completing one revolution around the earth in $T$ seconds is $h_1$ metre, then what would be the height of a satellite taking $2\sqrt{2} T$ seconds for one revolution?

State with reasons whether the following sentences are true or false.
If a spacecraft has to be sent away from the influence of earth’s gravitational field, its velocity must be less than the escape velocity.

How much time a satellite in an orbit at height $35780 \mathrm{km}$ above earth’s surface would take, if the mass of the earth would have been four times its original mass?

What is meant by the orbit of a satellite? On what basis and how are the orbits of artificial satellites classified?