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NEST2023PhysicsGravitation

A spherical comet having mass M_s and radius r is moving towards a planet of mass M_p as shown in the figure. At a separation distance d , equal gravitational force is experienced by the two identical test masses (m) which are placed at diametrically opposite ends ( A and B ) of the comet. Assuming d r , the correct choice about the separation distance d is,

Options

  1. Ad is proportional to M_p^ 1 / 3 .
  2. Bd is proportional to M_s^ 2 / 3 .
  3. Cd is independent of r .
  4. Dd is inversely proportional to M_s^ 2 / 3 .

Correct answer

A. d is proportional to M_p^ 1 / 3 .

Step-by-step solution

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