Exam 22: Electromagnetic Waves

A light ray in air strikes a glass plate whose index of refraction is $1.42$ . Some of the light reflects off the surface of the plate, but most of it enters the glass. If the angle of refraction is one-half the angle of reflection, the angle of refraction is closest to which one of the following angles?

Which one of the following sets of characteristics describes the image formed by a plane mirror?

If a spherical convex mirror has a radius of curvature R, the magnitude of its focal length is

An object is 50 cm from a concave mirror with radius of curvature of magnitude 60 cm. What is the lateral magnification produced by the mirror?

An object that is 4.0 cm tall is placed 15 cm in front of a concave mirror of focal length 20 cm. (a) Where is the image formed and how far is it from the mirror? (b) How tall is the image?

As part of a piece of optical apparatus to be used in air, you need to design a thin lens having faces with radii of curvature of magnitude 24 cm each. When an object 32 mm tall is placed 30 cm from this lens, it must form a real image 60 cm from the lens. (a) What must be the index of refraction of the lens material? (b) What is the height of the image of the object? Is it upright or inverted; is it real or virtual?

A point source of light is positioned $20.0 \mathrm {~m}$ below the surface of a lake. What is the diameter of the largest circle on the surface of the water through which light can emerge into the air? The index of refraction of water is $1.33 .$

The radius of curvature of the curved side of a plano-convex lens made of glass, having index of refraction 1.64, is 33 cm. What is the focal length of the lens?

A light ray enters a glass enclosed fish tank. From air it enters the glass at 20° with respect to the plane of the surface and then emerges into the water. The index for the glass is 1.50 and for water 1.33. (a) What is the angle of refraction in the glass? (b) What is the angle of refraction in the water? (c) Is there any incident angle in air for which the ray will not enter the water due to total internal reflection? If so, find it.

Starting from very far away, an object is moved closer and closer to a diverging lens, eventually reaching the lens. What happens to its image formed by that lens? (There could be more than one Correct choice.)

A convex mirror has a focal length of magnitude $f$ . An object is placed in front of this mirror at a point $\frac { 2 } { 3 } f$ from the face of the mirror. The image will appear

An upright object is 50 cm from a concave mirror of radius 60 cm. The character of the image is

A glass plate having an index of refraction is $1.66$ is immersed in a certain alcohol. The surface of the glass is inclined at an angle of $44 ^ { \circ }$ with the vertical. When a horizontal ray in the glass strikes the interface, you observe that it is at the critical angle. What is the index of refraction of the alcohol?

A flashlight beam makes an angle of 60° with the plane of the surface of a calm lake before it enters the water. In the water what angle does the beam make with the plane of the surface? The Index of refraction of water is 1.33.

A plant that is 4.0 cm tall is placed 15 cm from a concave spherical mirror having a focal length of magnitude 20 cm. Where is the image located?

An object is 10 cm in front of a concave spherical mirror with a focal length of magnitude 3.0 cm. Where is the image?

A 4.0-cm tall apple is 20 cm in front of a plano-convex lens of focal length 75 cm. (a) Find the location of the image of the apple. Is it a real or a virtual image? (b) How tall is the image of the apple? Is it upright or inverted?

An object that is 75 cm tall is located 3.8 m in front of a plane mirror. The image formed by the mirror appears to be

Starting from very far away, an object is moved closer and closer to a converging lens, eventually reaching the lens. What happens to its image formed by that lens? (There could be more than one Correct choice.)

Light goes from material having a refractive index of $n _ { 1 }$ into a material with refractive index $n _ { 2 }$ . If the refracted light is bent away from the normal, what can you conclude about the indices of refraction?