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JEE Main20249 Apr 2024Evening ShiftPhysicsGravitationActual

A satellite of 10^3 ~kg mass is revolving in circular orbit of radius 2 R . If 10^4 R 6 J energy is supplied to the satellite, it would revolve in a new circular orbit of radius (use g=10 ~m / s ^2, R= radius of earth)

Options

  1. A2.5 R
  2. B3 R
  3. C4 R
  4. D6 R

Correct answer

D. 6 R

Step-by-step solution

aligned & Total energy = - GMm 2(2 R ) & if energy = 10^4 R 6 is added then & - GMm 4 R + 10^4 R 6 = - GMm 2 r & where r is new radius of revolving and g = GM R ^2 & - mgR 4 + 10^4 R 6 =- mgR ^2 2 r ( m =10^3 ~kg ) & - 10^3 10 R 4 + 10^4 R 6 =- 10^3 10 R ^2 2 r & - 1 4 + 1 6 =- R 2 r & r =6 R aligned

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