STANDARDPhysics-Gravitation
STANDARD Physics Satellite Motion MCQ Question
Type: MCQ-conceptual-Medium-Class 11
A satellite is orbiting the Earth in a circular orbit of radius r. Its
A
kinetic energy varies as r
B
angular momentum varies as 1/√r
C
linear momentum varies as 1/r
D
frequency of revolution varies as 1/r³/²
Correct Answer
Option D
Detailed Explanation
The frequency of revolution is inversely proportional to r³/² because the orbital velocity is v = √(GMₑ/r), where Mₑ is the mass of the Earth. Thus, frequency v = 1/2π√(GMₑ/r³), leading to v ∝ 1/r³/².
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