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NEET 2012
Exam
NEET
Year
2012
Subject
Physics
Chapter
Gravitation

NEET 2012 · Physics · Gravitation

If v_e is escape velocity and v_o is orbital velocity of a...

If vev_e is escape velocity and vov_o is orbital velocity of a satellite for orbit close to the Earth's surface, then these are related by

Options

  1. Avo=2vev_o=\sqrt{2} v_e
  2. Bvo=vev_o=v_e
  3. Cve=2vov_e=\sqrt{2 v_o}
  4. Dve=2vov_e=\sqrt{2} v_o

Correct answer

C. ve=2vov_e=\sqrt{2 v_o}

Step-by-step solution

Orbital velocity of satellite v_o=GMR...(\sqrt{\frac{G M}{R}} ...(i) and escape velocity of satellite v_e=2GMR...(\sqrt{\frac{2 G M}{R}} ...(ii) Hence, ve=2vo\quad v_e=\sqrt{2} v_o
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