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Concepts Of Physics MCQ Edition [Volume 1]PhysicsGravitation

A uniform spherical shell shrinks gradually while maintaining its shape. The gravitational potential at its centre

Options

  1. Aincreases
  2. Boscillates
  3. Cremains constant
  4. Ddecreases

Correct answer

D. decreases

Step-by-step solution

The gravitational potential V at the centre of a uniform spherical shell of mass M and radius R is given by: V = - GM R As the spherical shell shrinks, its mass M remains constant while its radius R decreases. Since R is in the denominator, the magnitude of the potential GM R increases. Due to the negative sign, the overall value of the gravitational potential becomes more negative, meaning it decreases.

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