Chapter 21

Find the index of refraction of a medium for which the angle of incidence of a light beam is \(31.5^{\circ}\) and angle of refraction is \(25.6^{\circ}\)

Given \(f=15.0 \mathrm{~cm}\) and \(s_{i}=3.00 \mathrm{~cm}\), find \(s_{o}\)

If the index of refraction of a liquid is \(1.50\), find the speed of light in that liquid.

The angle of incidence of light passing from air to a liquid is \(38.0^{\circ} .\) The angle of refraction is \(24.5^{\circ} .\) What is the index of refraction of the liquid?

If the critical angle of a liquid is \(42.4^{\circ}\), find the index of refraction for that liquid.

If the index of refraction of a substance is \(2.45\), find its critical angle of incidence.

Given \(h_{i}=2.75 \mathrm{~cm}, h_{o}=4.50 \mathrm{~cm}\), and \(s_{i}=6.00 \mathrm{~cm}\), find \(s_{o}\).

A converging lens has a focal length of \(15.0 \mathrm{~cm}\). If it is placed \(48.0 \mathrm{~cm}\) from an object, how far from the lens will the image be formed?

An object \(2.50 \mathrm{~cm}\) tall is placed \(20.0 \mathrm{~cm}\) from a converging lens. A real image is formed \(9.00 \mathrm{~cm}\) from the lens. (a) What is the focal length of the lens? (b) What is the size of the image?

Given \(h_{i}=3.50 \mathrm{~cm}, h_{o}=2.50 \mathrm{~cm}\), and \(s_{i}=15.5 \mathrm{~cm}\), find \(s_{o}\).

The focal length of a lens is \(5.00 \mathrm{~cm}\). How far from the lens must the object be to produce an image \(1.50 \mathrm{~cm}\) from the lens?

If an object is \(2.50 \mathrm{~m}\) tall and \(8.60 \mathrm{~m}\) from a large mirror with an image formed \(3.75 \mathrm{~m}\) from the mirror, find the height of the image.

If the distance from the lens in your eye to the retina is \(19.0 \mathrm{~mm}\), what is the focal length of the lens when reading a sign \(40.0 \mathrm{~cm}\) from the lens?

An object \(30.0 \mathrm{~cm}\) tall is located \(10.5 \mathrm{~cm}\) from a concave mirror with focal length \(16.0 \mathrm{~cm}\). (a) Where is the image located? (b) How high is it?

An object \(5.00 \mathrm{~cm}\) tall is placed \(15.0 \mathrm{~cm}\) from a converging lens, and a real image is formed \(7.50 \mathrm{~cm}\) from the lens. (a) What is the focal length of the lens? (b) What is the size of the image?

An object and its image in a concave mirror are the same height, yet inverted, when the object is \(20.0 \mathrm{~cm}\) from the mirror. What is the focal length of the mirror?

An object \(4.50 \mathrm{~cm}\) tall is placed \(18.0 \mathrm{~cm}\) from a converging lens with a focal length of \(26.0 \mathrm{~cm}\). (a) What is the location of the image? (b) What is its size?

An object \(12.6 \mathrm{~cm}\) in front of a convex mirror forms an image \(6.00 \mathrm{~cm}\) behind the mirror. What is the focal length of the mirror?

What are the size and location of an image produced by a converging lens with a focal length of \(19.5 \mathrm{~cm}\) of an object \(5.76 \mathrm{~cm}\) from the lens and \(1.45 \mathrm{~cm}\) high?

What is the height of an image in a truck mirror when the object is \(1.20 \mathrm{~m}\) tall and is standing \(7.60 \mathrm{~m}\) from the mirror and the image is formed \(1.50 \mathrm{~m}\) from the mirror?

What are the size and location of an image produced by a convex lens with a focal length of \(14.5 \mathrm{~cm}\) of an object \(10.5 \mathrm{~cm}\) from the lens and \(2.35 \mathrm{~cm}\) high?

What is the focal length of a convex lens that produces an inverted image twice as large as the object at a distance of \(13.3 \mathrm{~cm}\) from the lens?

Find the focal length of a convex mirror that forms an image \(3.55 \mathrm{~cm}\) behind the mirror of an object \(24.5 \mathrm{~cm}\) in front of the mirror.

Find the focal length of a mirror that forms an image \(5.66 \mathrm{~cm}\) behind a mirror of an object \(34.4 \mathrm{~cm}\) in front of the mirror.

Find the focal length of a mirror that forms an image \(2.30 \mathrm{~m}\) behind a mirror of an object \(6.50 \mathrm{~m}\) in front of the mirror.

(a) What is the height of a figurine \(7.33 \mathrm{~cm}\) in front of a concave mirror that produces an image \(-2.75 \mathrm{~cm}\) high? The image appears to be \(5.03 \mathrm{~cm}\) in front of the mirror. (b) Find the focal length of the mirror. (c) What distance would an image appear to be from the mirror with double the focal length?