Physics-
General
Easy

Question

An ellipsoidal cavity is carved within a perfect conductor. A positive charge q is placed at the centre of the cavity. The points A and B are on the cavity surface as shown in the figure. Then

  1. Electric field near A in the cavity = Electric field near B in the cavity    
  2. Charge density at A equals Charge density at B    
  3. Potential at A equals Potential at B    
  4. Total electric field flux through the surface of the cavity is q divided by epsilon subscript 0 end subscript    

The correct answer is: Potential at A equals Potential at B


    Under electrostatic condition, all points lying on the conductor are in same potential. Therefore, potential at A = potential at B.
    From Gauss's theorem, total flux through the surface of the cavity will be q/e0.
    Note : q Instead of an elliptical cavity, if it would had been a spherical cavity then options (a) and (b) were also correct

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