1)

Two non- conducting spheres of radii R1 and R2 are carrying uniform volume charge densities +ρ and -ρ  respectively, are placed, such that they partially overlap, as shown in the figure. At all points in the overlapping region

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A) the electrostatic field is zero

B) the electrostatic potential is constant

C) the electrostatic field is constant in magnitude

D) the electrostatic field has same direction

Answer:

Option C,D

Explanation:

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For electrostatic field,

 Ep= E1+E2

  =   ρ3ϵ0C1P+(ρ)3ϵ0C1P

  =  ρ3ϵ0(C1P+PC2)

  Ep=ρ3ϵ0C1C2

 For  electrostatic potential: since the electric field is non zero so it is not equipotential