Question:

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.

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Statement 1 follows from \(W = q\,\Delta V = 0\). Read Statement 2 literally: are electric lines of force mutually perpendicular to each other?
Updated On: Nov 4, 2026
  • Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation of Statement 1.
  • Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement 1.
  • Statement 1 is true, Statement 2 is false.
  • Statement 1 is false, Statement 2 is true.
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The Correct Option is C

Solution and Explanation

Statement 1: on an equipotential surface \(\Delta V = 0\), so \(W = q\Delta V = 0\). Statement 1 is true.
Statement 2 as printed says the electric lines of force are mutually perpendicular to each other. Electric lines of force never intersect and are not perpendicular to one another; what is true is that they are perpendicular to the equipotential surface. As printed, Statement 2 is false.
Hence Statement 1 is true and Statement 2 is false.
Answer: (3) Statement 1 is true, Statement 2 is false.
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