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JEE Main2003PhysicsGravitationActual

Two spherical bodies of mass M and 5 M & radii R & 2 R respectively are released in free space with initial separation between their centres equal to 12 R . If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is

Options

  1. A2.5 R
  2. B4.5 R
  3. C7.5 R
  4. D1.5 R

Correct answer

C. 7.5 R

Step-by-step solution

Distance between the surface of the spherical bodies =12 R-R-2 R=9 R Force Mass, Acceleration Mass, Distance Acceleration aligned & a ₁ a ₂ = M SM = 1 5 S ₁ ~S ₂ = 1 5 S ₂=5 ~S ₁ & ~S ₁+ S ₂=9 6 ~S ₁=9 S ₁= 9 6 =1.5, aligned Note: Maximum distance will be travelled by smaller bodies due to the greater acceleration caused by the same gravitational force

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