Final answer:
The surface charge density required to produce an electric field of 1.4 kN/C on an infinite sheet is 1.2 x 10^-8 C/m^2 when expressed with two significant figures.
Step-by-step explanation:
The question asked is related to the concept of electric fields and surface charge densities in Physics. To find the surface charge density (σ) that would produce an electric field (E) of 1.4 kN/C on an infinite sheet, we can use the equation E = σ/ε0, where ε0 is the vacuum permittivity and is approximately 8.85 x 10-12 C2/N·m2. Solving for σ gives σ = E*ε0. By substituting the values, we find σ = (1.4 x 103 N/C)(8.85 x 10-12 C2/N·m2) = 1.24 x 10-8 C/m2, which, when expressed using two significant figures, is 1.2 x 10-8 C/m2.