Question 65

MCQMEDIUM

A few electric field lines for a system of two charges Q1Q_1 and Q2Q_2 fixed at two different points on the x-axis are shown in the figure. These lines suggest that

Question
(A)

∣Q1∣>∣Q2∣|Q_1| > |Q_2|

(B)

∣Q1∣<∣Q2∣|Q_1| < |Q_2|

(C)

at a finite distance to the left of Q1Q_1 the electric field is zero

(D)

at a finite distance to the right of Q2Q_2 the electric field is zero

Detailed Solution

From the field line diagram, the number of lines originating from Q1Q_1 is greater than the number of lines terminating at Q2Q_2. Since the magnitude of the charge is proportional to the number of field lines, ∣Q1∣>∣Q2∣|Q_1| > |Q_2|. This makes option A correct. The lines originate from Q1Q_1 and terminate at Q2Q_2, meaning Q1Q_1 is positive and Q2Q_2 is negative. For a system of two opposite charges of unequal magnitude, the null point (where the electric field is zero) exists on the line joining them, outside the charges, specifically on the side of the charge with the smaller magnitude. Since ∣Q2∣<∣Q1∣|Q_2| < |Q_1|, the null point will be to the right of Q2Q_2 at a finite distance. Thus, option D is correct.

Free Exam

Boost Your Exam Preparation!

Move beyond just reading solutions. Access our comprehensive Test Series, original Mock Tests, and interactive learning modules. Many premium tests are completely free!

  • Original Mocks & Regular Test Series
  • Real NTA-like Interface with Analytics
  • Many Free Tests Available