JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

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

Answer: (C)

Solution

They collide when their centres are apart, so together they must close a distance . Since no external force acts, the centre of mass stays fixed, so the displacements are inversely proportional to the masses:

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Question ID VK-154239