A neutral conducting object of irregular shape is placed near a small external positive charge. Three points on the surface of the object are labeled as follows: X is the closest point to the external charge, Y is farther away on the same side, and Z is on the side opposite the external charge. Which ranking of the magnitudes of the induced surface charge densities ∣σ∣ at these points is most likely?
a) ∣σ∣ at Z > ∣σ∣ at Y > ∣σ∣ at X
b) ∣σ∣ at X > ∣σ∣ at Y > ∣σ∣ at Z
c) ∣σ∣ at Y > ∣σ∣ at X > ∣σ∣ at Z
d) ∣σ∣ at X > ∣σ∣ at Y = ∣σ∣ at Z