Q.

If E·dS=0 over a surface, then                   [2023]

1 all the charges must necessarily be inside the surface  
2 the electric field inside the surface is necessarily uniform  
3 the number of flux lines entering the surface must be equal to the number of flux lines leaving it  
4 the magnitude of electric field on the surface is constant.  

Ans.

(3)

The term E·ds represents electric flux over the closed surface and electric flux is proportional to the number of electric field lines. If E·ds=0, it means that the number of flux lines entering the surface must be equal to the number of flux lines leaving it.