TS EAMCET · Physics · Electrostatics

Two charged identical metal spheres \(A\) and \(B\) repel each other with a force of \(3 \times 10^{-5} \mathrm{~N}\). 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

A \(1 \times 10^5 \mathrm{~N}\)
B \(3 \times 10^5 \mathrm{~N}\)
C \(2 \times 10^5 \mathrm{~N}\)
D \(5 \times 10^5 \mathrm{~N}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(3 \times 10^5 \mathrm{~N}\)

Step-by-step Solution

Detailed explanation

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 \(q\).…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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