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Most Important Selected Qs for JEE AdvancedPhysicsGravitation

Paragraph: A satellite is moving around earth (mass M, Radius R ) in circular orbit of radius 2 R in equatorial plane. Question: A particle is projected from this satellite radially outward relative to satellite with speed u . Find the minimum value of u so that particle escape from the gravitational force of earth. (Mass of earth >>> mass of satellite >>> mass of particle)

Options

  1. AGM R
  2. BG M 2 R
  3. C2 GM R
  4. D2 G M R

Correct answer

B. G M 2 R

Step-by-step solution

All area of earth with be covered other than shaded area. aligned & shaded area =2 [2 R ^2(1- ) ] & =4 R ^2 [1- 3 2 ]=2 R ^2[2- 3 ] aligned area covered 4 R^2-2 R^2[2- 3 ] =2 R^2 3

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