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AP EAMCET · PHYSICS · Gravitation

The orbital velocity of a body near the surface of a planet ' \(A\) ' is equal to escape velocity of a body from the planet ' \(B\) '. If the masses of planets A and B are same, the ratio of their radii is

  1. A \(1\)
  2. B \(\frac{1}{2}\)
  3. C \(\frac{1}{3}\)
  4. D \(2\)
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Answer & Solution

Correct Answer

(B) \(\frac{1}{2}\)

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Detailed explanation

Orbital velocity of a body of planet A, \(\mathrm{V}_{\mathrm{A}}=\sqrt{\frac{\mathrm{GM}_{\mathrm{A}}}{\mathrm{r}_{\mathrm{A}}}}\) Escape velocity of a body of planet B,…
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