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MHT CET202411 May 2024Morning ShiftPhysicsGravitationActual

Assuming that the earth is revolving around the sun in circular orbit of radius R , the angular momentum is directly proportional to R ^ n . The value of ' n ' is

Options

  1. A2.
  2. B1.5
  3. C1
  4. D0.5

Correct answer

D. 0.5

Step-by-step solution

We know, Angular momentum L=m v R ...(i) For a planet revolving around the sun, mv ^2 R = GMm R ^2 ...(C.P.F = Gravitational force) v^2= G M R v = GM R ...(ii) Putting equation (ii) into (i) array ll & L = m GM R R = m GMR & ~L R ^ 1 / 2 & n =0.5 array

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