A remote sensing satellite of earth revolves in a circular orbit at a height of \(0.25 \times10^6~\text{m}\) above the surface of the earth. If Earth’s radius is \(6.38\times10^6~\text{m}\) and \(g=9.8~\text{ms}^{-2}\), then the orbital speed of the satellite is:
1. \(7.76~\text{kms}^{-1}\)
2. \(8.56~\text{kms}^{-1}\)
3. \(9.13~\text{kms}^{-1}\)
4. \(6.67~\text{kms}^{-1}\)

Subtopic:  Orbital velocity |
 51%
From NCERT
NEET - 2015
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A satellite S is moving in an elliptical orbit around the earth. If the mass of the satellite is very small as compared to the mass of the earth, then:

1. The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant.
2. The total mechanical energy of S varies periodically with time.
3. The linear momentum of S remains constant in magnitude.
4. The acceleration of S is always directed towards the centre of the earth.

Subtopic:  Orbital velocity |
 57%
From NCERT
NEET - 2015
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If ve is the escape velocity and vo is the orbital velocity of a satellite for orbit close to the earth's surface, then these  are related by:

1. \(v_o=v_e\) 2. \(v_e=\sqrt{2v_o}\)
3. \(v_e=\sqrt{2}~v_o\) 4. \(v_o=\sqrt{2}~v_e\)
Subtopic:  Orbital velocity |
 76%
From NCERT
AIPMT - 2012
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Rohini satellite is at a height of 500 km and Insat-B is at a height of 3600 km from the surface of the earth. The relation between their orbital velocity (\(v_R,~v_i\)) is:

1. \(v_R>v_i\)

2. \(v_R<v_i\)

3. \(v_R=v_i\)

4. No relation 

Subtopic:  Orbital velocity |
 75%
From NCERT
AIPMT - 1999
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