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JIPMER 2008
Exam
JIPMER
Year
2008
Subject
Physics
Chapter
Gravitation

JIPMER 2008 · Physics · Gravitation

For a satellite moving in an orbit around the earth, the ratio of...

For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is

Options

  1. A22
  2. B12\frac{1}{2}
  3. C12\frac{1}{\sqrt{2}}
  4. D2\sqrt{2}

Correct answer

B. 12\frac{1}{2}

Step-by-step solution

Key Idea : Kinetic energy of satellite is half of its potential energy. Potential energy of satellite U=−GMemReU=-\frac{G M_e m}{R_e} where ReR_e is radius of earth, MeM_e the mass of earth, mm the mass of satellite and GG the gravitational constant. ∣U∣=GMemRe|U|=\frac{G M_e m}{R_e} Kinetic energy of satellite K=12GMemReK=\frac{1}{2} \frac{G M_e m}{R_e} Thus,K∣U∣=12GMemRe×ReGMem=12\frac{K}{|U|}=\frac{1}{2} \frac{G M_e m}{R_e} \times \frac{R_e}{G M_e m}=\frac{1}{2}
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