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The escape velocity from the surface of a planet is . If the mass of the planet is doubled and its radius is halved, the new escape velocity will be:

  1. A.
  2. B.
  3. C.
  4. D.
Show correct answer & step-by-step solution

Correct answer: B

Solution

  1. The escape velocity is .
  2. The new escape velocity is .
  3. This simplifies to .
  4. Therefore .
  5. Hence the answer is (B).

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