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NEET 1999 (AIPMT) · Escape Velocity

Escape Velocity question from NEET 1999 (AIPMT)

Q82NEET 1999 · AIPMTEasy

Escape Velocity

The escape velocity of a sphere of mass mm is given by (GG = universal gravitational constant, MeM_e = mass of earth and ReR_e = radius of earth)

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Answer: (b)

  1. 12mv2=GMemRe\frac{1}{2}mv^2 = \frac{GM_em}{R_e}; the body's mass mm cancels.
  2. ve=2GMeRev_e = \sqrt{\frac{2GM_e}{R_e}}
  3. So the answer is (b).
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