Motion of a Satellite ( Orbital Velocity, Time Period and Energy of Satellite ) NEET Questions

Physics - Gravitation
Motion of a Satellite ( Orbital Velocity, Time Period and Energy of Satellite )

Motion of a Satellite ( Orbital Velocity, Time Period and Energy of Satellite ) MCQ Questions


1.
The orbital velocity of a satellite revolving in a circular orbit of radius (R_E + h) around the Earth (mass M_E) is derived by equating centripetal force to gravitational force. The correct expression is:
A.
V = √(GM_E·(R_E+h))
B.
V = √(GM_E/(R_E+h))
C.
V = GM_E/(R_E+h)
D.
V = √(2GM_E/(R_E+h))
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ANSWER :
B. V = √(GM_E/(R_E+h))
2.
The orbital speed of a satellite at height h above Earth's surface can also be written in terms of surface gravity g and Earth's radius R_E as:
A.
V = g·R_E/(R_E+h)
B.
V = √(g·R_E²/(R_E+h))
C.
V = g·R_E²/(R_E+h)²
D.
V = √(g/(R_E+h))
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ANSWER :
B. V = √(g·R_E²/(R_E+h))
3.
The orbital speed of a satellite just above the Earth's surface (h ≈ 0) is approximately:
A.
11.2 km/s
B.
7.9 km/s
C.
3.0 km/s
D.
5.6 km/s
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ANSWER :
B. 7.9 km/s
4.
As the orbital height h of a satellite increases, its orbital speed V:
A.
Increases proportional to h
B.
Remains constant
C.
Decreases (V ∝ 1/√(R_E+h))
D.
First increases then decreases
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ANSWER :
C. Decreases (V ∝ 1/√(R_E+h))
5.
A satellite orbits at height h = R_E (where R_E = Earth's radius). Its orbital speed compared to the surface orbital speed V₀ = √(gR_E) is:
A.
V₀/√2
B.
V₀/2
C.
V₀·√2 
D.
V₀/4
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ANSWER :
A. V₀/√2
6.
The orbital velocity of a satellite is independent of which of the following?
A.
Height of the satellite above Earth's surface
B.
Mass of the Earth
C.
Mass of the satellite
D.
Radius of the Earth
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ANSWER :
C. Mass of the satellite
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