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MHT CET20243 May 2024Evening ShiftPhysicsGravitationActual

Two identical metal spheres are kept in contact with each other, each having radius ' R ' cm and ' ' is the density of material of metal spheres. The gravitational force ' F ' of attraction between them is proportional to

Options

  1. AR^3
  2. BR^4 p^2
  3. CR^4
  4. DR^3 ^2

Correct answer

B. R^4 p^2

Step-by-step solution

Force due to gravity, aligned & F = GMM (2 R )^2 & ~F = GM ^2 4 R ^2 ...(i) aligned Density, = M V M= 4 3 R^3 Substituting in (i), aligned & F= G ( 4 3 R^3 )^2 4 R^2 & F R^4 ^2 aligned

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