JEE Main 2022 Physics question

PhysicsElectric Charges and FieldsJEE Main 2022

Two identical metallic spheres A and B when placed at certain distance in air repel each other with a force of F. Another identical uncharged sphere C is first placed in contact with A and then in contact with B and finally placed at midpoint between spheres A and B. The force experienced by sphere C will be :

Answer: (2)

Solution

Let = = q, so . After C touches A, A and C each carry q/2. After C then touches B, B and C each carry (q + q/2)/2 = 3q/4. Now C (3q/4) lies at the midpoint, a distance r/2 from each of A (q/2)

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Question ID VK-034986