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Force on an uncharged sphere that touches one of two charged spheres and is placed midway

The same question, asked 2 times: 25 Apr 2025 S2*, 15 May 2026 S1. Every wording below, oldest first.

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  1. Question 1

    25 Apr 2025 S2

    46
    Two equally charged small balls placed at a fixed distance experience a force ' F '. A similar uncharged ball after touching one of them is placed at the middle point between the two balls. the force experienced by this ball is

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  2. Question 2

    15 May 2026 S1

    125
    Two charged identical metal spheres A and B repel each other with a force 3×10−53 \times 10^{-5} N. Another identical uncharged sphere C is touched with A and then placed at the mid-point between A and B. Net force on C is x×10−5x \times 10^{-5} N. The value of xx is

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