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Two metallic spheres each of mass M are suspended by two strings each of length L The distance between the upper ends of strings is L . The angle which the strings will make with the vertical due to mutual attraction of the spheres is

Options

  1. At a n - 1 G M g L
  2. Bt a n - 1 G M 2 g L
  3. Ct a n - 1 G M g L 2
  4. Dt a n - 1 2 G M g L 2

Correct answer

C. t a n - 1 G M g L 2

Step-by-step solution

The metallic spheres will be at positions as shown in the figure. T sin ⁡ θ = F = G M × M L 2                                             = G M 2 L 2                 T cos ⁡ θ = M g ∴                 tan ⁡ θ = G M g L 2 o r                  

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