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← IIT-JEE 2007 · Paper 2
PhysicsSingle correct+3 / -1Question 7 of 66

IIT-JEE 2007 · Paper 2, Physics question 7

Positive and negative point charges of equal magnitude are kept at (0,0,a2)\left(0,0,\frac a2\right) and (0,0,−a2)\left(0,0,\frac{-a}2\right), respectively. The work done by the electric field when another positive point charge is moved from (−a,0,0)(-a,0,0) to (0,a,0)(0,a,0) is

Choose one option
Answer and worked solution

Official answer: C

Equatorial plane. The charges ±q\pm q are at z=±a2z=\pm\frac a2, so every point of the plane z=0z=0 is equidistant from both and has potential zero.

Both points (−a,0,0)(-a,0,0) and (0,a,0)(0,a,0) lie in that plane, so W=q(Vi−Vf)=0W=q(V_i-V_f)=0 (and the field is conservative, so the path does not matter).

(C) zero