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JIPMER 2009
Exam
JIPMER
Year
2009
Subject
Physics
Chapter
Gravitation

JIPMER 2009 · Physics · Gravitation

Two satellites of earth, S_1 and S_2 , are moving in the same...

Two satellites of earth, S1S_1 and S2S_2, are moving in the same orbit. The mass of S1S_1 is four times the mass of S2S_2. Which one of the following statements is true?

Options

  1. AThe time period of S1S_1 is four times that of S2S_2
  2. BThe potential energies of earth and satellite in the two cases are equal
  3. CS1S_1 and S2S_2 are moving with the same speed
  4. DThe kinetic energies of the two satellites are equal

Correct answer

C. S1S_1 and S2S_2 are moving with the same speed

Step-by-step solution

When two satellites of earth are moving in same orbit, then time period of both are equal. From Kepler's third law T2∝r3T^2 \propto r^3 Time period is independent of mass, hence their time periods will be equal. The potential energy and kinetic energy are mass dependent, hence the PE and KE of satellites are not equal. But, if they are orbiting in a same orbit, then they have equal orbital speed.
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