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JEE Main 2002 (AIEEE) · Escape Velocity

Escape Velocity question from JEE Main 2002 (AIEEE)

Q78JEE Main 2002 · AIEEEEasy

Escape Velocity

The kinetic energy needed to project a body of mass mm from the earth surface (radius RR) to infinity is

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Answer: (c)

  1. Energy needed to take the body from the surface to infinity: K=GMmRK = \frac{GMm}{R}.
  2. Using GM=gR2GM = gR^2: K=gR2mR=mgRK = \frac{gR^2 m}{R} = mgR.
  3. So the answer is (c) mgRmgR.
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