Consider the diagram given below. If the work done in taking a point charge from infinity to A, B and C are \( W_A \), \( W_B \) and \( W_C \), respectively, then
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \( W_A = W_B = W_C \)
The work done in bringing a charge \( q_0 \) from infinity to a point is \( q_0 \) times the electric potential at that point, and the potential of a point charge depends only on the distance from it.
\( \displaystyle W = q_0V = \frac{q\,q_0}{4\pi\varepsilon_0 r} \)
In the figure, C, B and A lie on a semicircle whose centre is at q, so all three points are at the same distance (the radius r) from q.
\( r_A = r_B = r_C = r \)
\( V_A = V_B = V_C \)
\( W_A = W_B = W_C \)
Note: A similar question was also asked in CUET (UG) 2025 on 28-05-2025 (Slot 2).