Final answer:
The surface charge density (σ) on a conducting surface with an electric field (E) of 1.5 N/C can be calculated using σ = Eε0. However, the calculated value does not match the provided options.
Step-by-step explanation:
The question is concerned with determining the surface charge density on a conducting plate when the electric field just outside the plate is known. According to the relation given by Gauss's Law for a conducting plate, the electric field (E) is directly proportional to the surface charge density (σ) and inversely proportional to the permittivity of free space (ε0). The formula to calculate the surface charge density is σ = Eε0 where ε0 is the permittivity of free space and is equal to approximately 8.85 x 10-12 C2/N·m2. Given the electric field E = 1.5 N/C, the surface charge density (σ) on the conductive surface can be calculated using the formula.
Here is the calculation:
σ = (1.5 N/C) × (8.85 x 10-12 C2/N·m2)
σ = 1.3275 x 10-11 C/m2
Therefore, the correct answer is none of the provided options since the calculated surface charge density does not match any of them.