An artificial satellite orbits Earth in a circular path. If its orbital radius is increased, its orbital velocity:
A. Becomes zero
B. Increases
C. Decreases
D. Remains constant
Answer: Option C
Solution (By JKExamLibrary)
Orbital velocity v = √(GM/r), where r is orbital radius from Earth's center. Thus v ∝ 1/√r. If r increases, v decreases. This follows from equating gravitational force to centripetal force: GMm/r² = mv²/r ⇒ v = √(GM/r). Higher orbits have slower speeds but longer periods. Memory aid: 'Higher orbit, slower speed' – counterintuitive but fundamental. This relationship is crucial for satellite motion questions in competitive exams. Always distinguish orbital velocity from escape velocity (which is √2 times orbital velocity at same radius).
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