Gravitation · NEET Preparation Physics

A satellite is orbiting the Earth in a circular orbit of radius r with speed v. If the orbit radius is increased to 4r, the new orbital speed of the…

Practice question from Gravitation (NEET Preparation Physics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-91F519

A satellite is orbiting the Earth in a circular orbit of radius rr with speed vv. If the orbit radius is increased to 4r4r, the new orbital speed of the satellite will be:

  1. A.A
  2. B.B
  3. C.CCorrect answer
  4. D.D

Solution

The orbital speed of a satellite is given by v=GMrv = \sqrt{\frac{GM}{r}}, which means v∝1rv \propto \frac{1}{\sqrt{r}}. When the radius becomes 4r4r, the new speed becomes v′=v4=v2v' = \frac{v}{\sqrt{4}} = \frac{v}{2}.

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