The number of electric lines of force radiating from a closed surface in vacuum is 1.13 × 1011. The charge enclosed by the surface is approximately equal tozero1 C1 μC0.1 C

The number of electric lines of force radiating from a closed surface in a vacuum is given by Gauss's law, which states that the total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity of free space.

Mathematically, this is represented as:

Φ = Q/ε₀

Where: Φ is the electric flux (the number of electric lines of force), Q is the charge enclosed by the surface, ε₀ is the permittivity of free space, approximately equal to 8.85 × 10^-12 C²/N·m².

Given that Φ = 1.13 × 10^11, we can rearrange the formula to solve for Q:

Q = Φ * ε₀

Substituting the given values:

Q = 1.13 × 10^11 * 8.85 × 10^-12

Q ≈ 1 C

So, the charge enclosed by the surface is approximately equal to 1 Coulomb.