Exam 22: Electromagnetic Waves

A light ray in glass arrives at the glass-water interface an an angle of $\theta = 48 ^ { \circ }$ with the normal. The refracted ray in water makes an angle $\phi = 72 ^ { \circ }$ angle with the normal, as shown in the figure. The index of refraction of water is $1.33$ . The angle of incidence is now changed to $\theta = 37 ^ { \circ }$ . What is the new angle of refraction $\phi$ in the water?

A 4.0-cm-tall object is placed 50.0 cm from a diverging lens having a focal length of magnitude 25.0 cm. What is the nature and location of the image?

A beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of $40 ^ { \circ }$ with the normal, and the refracted beam make an angle of $26 ^ { \circ }$ with the normal. What is the speed of light in the transparent material? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A slide projector is set up with its lens 6.0 m from the screen. The projected image on the screen is 1.5 m square for a slide (the object) that is 2.5 cm square. (a) How far is the slide from the lens? (b) What is the focal length of the projector lens?

An oil layer that is 5.0 cm thick is spread smoothly and evenly over the surface of water on a windless day. A light ray from the air above enters the oil at 45° with the normal and then goes Into the water. What is the angle of refraction of this ray in the water? The index of refraction for The oil is 1.15, and for water it is 1.33.

Single concave spherical mirrors produce images that

A seed is 15 mm in front of a converging lens, and the image of the seed is 4.0 mm behind the lens. What is the focal length of the lens?

An object is 5.7 cm from a spherical concave mirror. If the image is 4.7 cm tall and 10 cm from the mirror, how tall is the object?

If a object is placed between a convex lens and its focal point, the image formed is

Two plane mirrors make an angle of $30 ^ { \circ }$ with each other. A light ray enters the system and is reflected once off of each mirror. Through what angle is the ray turned?

An object is 50 cm from a concave mirror of radius of curvature of magnitude 60 cm. How far is the image from the mirror?

A coin is 12 cm in front of a converging lens with focal length of magnitude 4.0 cm. Where is the image?

If an object is placed at the center of curvature of concave mirror, the image formed by the mirror is located

The image formed in a plane mirror is

A light beam is traveling inside a glass block that has an index of refraction of 1.46. As this light arrives at the surface of the block, it makes an angle of $53.0 ^ { \circ }$ with the normal. At what angle with the normal in the air will it leave the block?

A thick slab of plastic lies at the bottom of a tank filled with water having an index of refraction of 1.33. A narrow laser beam is shone directly downward through the water on the plastic. You then gradually rotate the laser, thereby increasing the angle with respect to the normal that it strikes the plastic. You carefully note that at the instant the beam makes an angle of $66.5 ^ { \circ }$ with the normal in the water, no light enters the plastic, but it did enter for angles smaller than that. What is the speed of light in the plastic slab? $\left( c = 3.00 \times 10 ^ { 8 } \right.$ $\mathrm { m } / \mathrm { s }$ )

The focal length of a concave mirror has a magnitude of 20 cm. What is its radius of curvature?

A cell phone is placed 40 cm in front of a converging lens with a focal length of magnitude 20 cm. How far is the image of this phone from the lens?

Which statement about a single thin lens is correct?

A person's face is 30 cm in front of a concave spherical shaving mirror. If the image is an erect image that is 1.5 times as large as the object, what is the focal length mirror?