2.3 Images Formed by Refraction

Image formation at a single curved boundary between two media, located by ray tracing or by the refracting-surface equation using both indices.

University Physics Volume 3, 2.3 Images Formed by Refraction

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4 exercises

2.3 Exercise 2

Use a ruler and a protractor to find the image by refraction in the following cases. Assume an air-glass interface. Use a refractive index of 1 for air and of 1.5 for glass. (Hint: Use Snell’s law at the interface.)

(a) A point object located on the axis of a concave interface located at a point within the focal length from the vertex.

(b) A point object located on the axis of a concave interface…

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2.3 Exercise 4

An object is located in air 30 cm from the vertex of a convex surface made of glass with a radius of curvature 80 cm. Where does the image by refraction form and what is its magnification?

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2.3 Exercise 6

An object is located in water 30 cm from the vertex of a convex surface made of Plexiglas with a radius of curvature of 80 cm. Where does the image form by refraction and what is its magnification? $n_{\text{water}} = 4 / 3$ and $n_{\text{Plexiglas}} = 1.65$ .

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2.3 Exercise 8

Derive the spherical interface equation for refraction at a concave surface. (Hint: Follow the derivation in the text for the convex surface.)

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