Determine the position of the image produced by refraction in the scenario depicted in the figure.

Step-by-step solution

From the given figure and sign convention, the parameters for refraction at the spherical surface are: Refractive index of the first medium, ₁ = 1.0 Refractive index of the second medium, ₂ = 1.5 Object distance, u = -25 cm Radius of curvature, R = +20 cm The formula for refraction at a single spherical surface is: ₂ v - ₁ u = ₂ - ₁ R Substituting the given values: 1.5 v - 1.0 -25 = 1.5 - 1.0 +20 1.5 v + 1 25 = 0.5 20 1.5 v + 1 25 = 1 40 Rearranging the terms to solve for v : 1.5 v = 1 40 - 1 25 1.5 v = 5 - 8 200 1