Gravitation — Medium JEE physics MCQ
**[JEE Mains 2026]** A satellite is orbiting Earth at a height equal to the radius of Earth (R). What is the ratio of its orbital velocity to the escape velocity from Earth's surface?
- A. 1/2
- B. 1/√2
- C. 1/2√2
- D. √2
Solution
Orbital velocity at height h: v_o = √(GM/(R+h)) = √(GM/2R).
Escape velocity: v_e = √(2GM/R).
Ratio: v_o/v_e = √(GM/2R) / √(2GM/R) = √(1/4) = 1/2.
