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Question 30764
JEE Physics · Hard

Gravitation: JEE — Orbital Speed at Height MCQ

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JEE — Orbital Speed at HeightHardQuestion 30764

Question

A satellite orbits at 3R from Earth's centre (R = Earth's radius, g₀ = 10 m/s², R = 6.4×10⁶ m). Orbital speed is:
  1. A
    5.33 km/s
  2. B
    7.9 km/s
  3. C
    4.6 km/s
    Correct
  4. D
    11.2 km/s

Correct answer

4.6 km/s

Explanation

v = √(gR²/r) = √(10×(6.4×10⁶)²/(3×6.4×10⁶)) = √(10×6.4×10⁶/3) = √(2.13×10⁷) ≈ 4620 m/s ≈ 4.6 km/s.

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