Home/
Competitive Exams/
JEE Main & Advanced/
Physics/
Gravitation/
Question 30753
JEE Physics · Medium

Gravitation: Period of Low Orbit MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Period of Low OrbitMediumQuestion 30753

Question

Minimum orbital period of any satellite around a uniform density planet (density ρ) is independent of planet's size and equals:
  1. A
    2π/√(Gρ)
  2. B
    2π√(3/Gρ)
  3. C
    2π√(3/(4πGρ))
    Correct
  4. D
    √(G/ρ)

Correct answer

2π√(3/(4πGρ))

Explanation

For orbital radius = R (surface): T = 2π√(R³/GM) = 2π√(R³/(G×4πR³ρ/3)) = 2π√(3/(4πGρ)). The period depends only on density, not size.

Review Gravitation notesStart timed chapter practice