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NEET 1995 (AIPMT) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from NEET 1995 (AIPMT)

Q76NEET 1995 · AIPMTMedium

Satellites - Orbital Velocity & Period

Two particles of equal mass go around a circle of radius RR under the action of their mutual gravitational attraction. The speed vv of each particle is

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Answer: (a)

  1. Separation is the diameter 2R2R: Gm2(2R)2=mv2R\frac{Gm^2}{(2R)^2} = \frac{mv^2}{R}
  2. v2=Gm4Rv^2 = \frac{Gm}{4R}
  3. v=12GmRv = \frac{1}{2}\sqrt{\frac{Gm}{R}}
  4. So the answer is (a).
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