Q. If ve is escape velocity and v₀ is orbital velocity of a satellite for orbit close to the earth's surface, then these are related by
A) v₀ = √2 ve
B) v₀ = ve
C) ve = √(2v₀)
D) ve = √2 v₀
Explanation
[Solution from source] Near the surface, orbital speed v₀ = √(GM/R) and escape speed ve = √(2GM/R), so ve = √2·v₀. The escape speed is the larger one, so v₀ = √2·ve is reversed. Answer (4).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.