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JEE Main 2024 (6 Apr, Shift 1) · Escape Velocity

Escape Velocity question from JEE Main 2024 (6 Apr, Shift 1)

Q18JEE Main 2024 · 6 APR · SHIFT 1Easy

Escape Velocity

To project a body of mass mm from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is RE,g=R_E, g = acceleration due to gravity on the surface of earth):

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Answer: (c)

  1. KE needed =GMmRE= \frac{GMm}{R_E}
  2. With GM=gRE2GM = gR_E^2: KE =mgRE= mgR_E
  3. So the answer is (c) mgREmgR_E.
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