A satellite is moving very close to a planet of density \(\rho.\) The time period of the satellite is:
1. \(\sqrt{\frac{3 \pi}{ρG}}\)
2. \(\left(\frac{3 \pi}{ρG}\right)^{3 / 2}\)
3. \(\sqrt{\frac{3 \pi}{2 ρG}}\)
4. \(\left(\frac{3 \pi}{2 ρG}\right)^{3 / 2}\)
Magnitude of potential energy (\(U\)) and time period (\(T\)) of a satellite are related to each other as:
1. \(T^2\propto \frac{1}{U^{3}}\)
2. \(T\propto \frac{1}{U^{3}}\)
3. \(T^2\propto U^3\)
4. \(T^2\propto \frac{1}{U^{2}}\)
The time period of a simple pendulum on a freely moving artificial satellite is
(1) Zero
(2) 2 sec
(3) 3 sec
(4) Infinite
Reason of weightlessness in a satellite is:
1. Zero gravity
2. Centre of mass
3. Zero reaction force by satellite surface
4. None
If r represents the radius of the orbit of a satellite of mass m moving around a planet of
mass M, the velocity of the satellite is given by:
1.
2.
3.
4.