JEE Advanced · PhysicsEasy

If the mass of the Earth were doubled and its radius were halved, the acceleration due to gravity on its surface would become how many times its original value?

  1. A.2 times
  2. B.4 times
  3. C.8 times
  4. D.1/2 times
Show correct answer & step-by-step solution

Correct answer: C8 times

Solution

  1. The formula for acceleration due to gravity is .
  2. Let the new mass be and the new radius be .
  3. The new gravity is .
  4. Hence the answer is (C).

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