This question has Statement \(-1\) and Statement \(-2\) Of the four choices given after the Statements, choose the one that best describes the two Statements Statement \(1\) : No work is required to be done to move a test charge between any two points on an equipotential surface Statement \(2\) : Electric lines of force at the equipotential surfaces are mutually perpendicular to each other

A Statement \(1\) is true, Statement \(2\) is true,
Statement \(2\) is the correct explanation of Statement \(1\)
B Statement \(1\) is true, Statement \(2\) is true,
Statement \(2\) is not the correct explanation of Statement \(1\)
C Statement \(1\) is true, Statement \(2\) is false
D Statement \(1\) is false, Statement \(2\) is true

Verified Solution

Answer & Solution

Correct Answer

(C) Statement \(1\) is true, Statement \(2\) is false

Step-by-step Solution

Detailed explanation

The work done is moving a charge along an equipotential surface is always zero. The directIon of electricfield is perpendicular to the equipotential surface or lines

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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