The minimum energy required to launch a satellite of mass \(m\) from the surface of the earth of mass \(M\) and radius \(R\) in a circular orbit at an altitude of \(2R\) from the surface of the earth is:
1. \(\dfrac{2 G m M}{3 R} \) 2. \(\dfrac{G m M}{2 R} \)
3. \(\dfrac{G m M}{3 R} \) 4. \( \dfrac{5 G m M}{6 R}\)
Subtopic:  Satellite |
Level 3: 35%-60%
NEET - 2024
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A satellite is orbiting just above the surface of the earth with period \(T.\) If \(d\) is the density of the earth and \(G\) is the universal constant of gravitation, the quantity \(\dfrac{3 \pi}{G d}\) represents:
1. \(\sqrt{T}\) 2. \(T\)
3. \(T^2\) 4. \(T^3\)
Subtopic:  Satellite |
 71%
Level 2: 60%+
NEET - 2023
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A geostationary satellite is orbiting the earth at a height of \(5R\) above the surface of the earth, \(R\) being the radius of the earth. The time period of another satellite in hours at a height of \(2R\) from the surface of the earth is:

1. \(5\)

2. \(10\)

3. \(6\sqrt2\)

4. \(\dfrac{6}{\sqrt{2}}\)

Subtopic:  Satellite |
 83%
Level 1: 80%+
AIPMT - 2012
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