Question

An object is located in air 5 cm from the vertex of a concave surface made of glass with a radius of curvature 20 cm. Where does the image form by refraction and what is its magnification? Use nair=1 and nglass=1.5.

Answer 1

The image formed by refraction in a concave surface made of glass with a radius of curvature 20 cm is virtual, upright, and located 10 cm from the vertex. The magnification is -2.

Step-by-step explanation:

The image formed by refraction in this case will be virtual, upright, and located 10 cm from the vertex of the concave surface. The magnification can be calculated using the formula m = -v/u, where v is the image distance and u is the object distance.

Given that the object distance is 5 cm and the radius of curvature is 20 cm, we can find the image distance using the lens formula 1/f = (n_glass - n_air) * (1/R), where f is the focal length and R is the radius of curvature.

Substituting the values, we get 1/10 = (1.5 - 1) * (1/20). Solving this equation, we find that f = 10 cm. Therefore, the image distance is 10 cm. Plugging this value into the magnification formula, we get m = -10/5 = -2.