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Two charged identical metal spheres A and B repel each other with a force of 3 10⁻⁵ ~N . Another identical wncharged sphere C is touched with sphere A and then it is placed mid-way between A and B . Then, the magnitude of net force on C is

Options

  1. A1 10^5 ~N
  2. B3 10^5 ~N
  3. C2 10^5 ~N
  4. D5 10^5 ~N

Correct answer

B. 3 10^5 ~N

Step-by-step solution

Spheres A and B have the same charge of same nature. When uncharged sphere C is touched with sphere A , then charge is transferred to C and this charge is equally divided between two spheres. Let initially the charge on spheres A and B is q . Initially, the repelling force between charged spheres A and B=3 10⁻⁵ ~N When, sphere C , is placed between charged spheres A and B , then the force between A and C , F_ A C = k q 2 q / 2 (r / 2)^2 Similarly, between B and C F_ B C = k q q / 2 (r / 2)^2 The magnitude of net fo

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