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BITSAT2023PhysicsGravitationActual

If V is the gravitational potential due to sphere of uniform density on it's surface, then it's value at the center of sphere will be:

Options

  1. A3 V 2
  2. BV
  3. C4 3 ~V
  4. DV 2

Correct answer

A. 3 V 2

Step-by-step solution

Potential due to sphere V = GM 2 R ^3 (3 R ^2- r ^2 ) At surface r=R V= ( G M R ) At centre, r=0 V ₀= 3 GM 2 R = ( 3 ~V 2 )

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