Physics Ch. 25-27 questions

A diverging lens has a focal length of -15 cm. A 5-cm object is placed 35 cm from the lens. What is the magnification of the image? A) +0.3 B) -0.3 C) +0.7 D) -0.7 E) +0.8

A) +0.3

Two converging lenses, each with a focal length of 0.080 m, are used in combination to form an image of an object that is located 0.24 m to the left of the left lens in the pair. The distance between the lenses is 0.16 m. 68. Where is the final image located relative to the lens on the right? A) 0.08 m to the left of the lens B) 0.12 m to the left of the lens C) 0.08 m to the right of the lens D) 0.12 m to the right of the lens E) 0.36 m to the right of the lens

A) 0.08 m to the left of the lens

A dime is placed in front of a concave mirror that has a radius of curvature R = 0.30 m. The image of the dime is inverted and three times the size of the dime. Determine the distance between the dime and the mirror. A) 0.20 m B) 0.15 m C) 0.10 m D) 0.60 m E) 0.45 m

A) 0.20 m

A convex mirror has a radius of curvature of 0.50 m. Where must an object be placed in front of the mirror such that the image is formed 0.15 m behind the mirror? A) 0.38 m B) 0.19 m C) 0.77 m D) 0.093 m E) 0.57 m

A) 0.38 m

An object is placed in front of a concave spherical mirror as shown below. The three rays 1, 2, and 3, leave the top of the object and, after reflection, converge at a point on the top of the image. Ray 1 is parallel to the principal axis, ray 2 passes through F, and ray 3 passes through C Which ray(s) will pass through F after reflection? A) 1 only B) 2 only C) 3 only D) both 1 and 2 E) 1, 2, and 3

A) 1 only

A certain type of glass is used in making flat-panel computer monitors. For light with a wavelength in air of 656.3 nm, the refractive index of the glass is nA = 1.5160. For light with a wavelength in air of 435.8 nm, nB = 1.5290. Determine the difference, λΑ ñ λΒ, in their wavelengths inside the glass. A) 147.9 nm B) 156.0 nm C) 220.5 nm D) 268.4 nm E) 293.1 nm

A) 147.9 nm

Light with a wavelength of 589 nm in a vacuum strikes the surface of an unknown liquid at an angle of 31.2∞ with respect to the normal to the surface. If the light travels at a speed of 1.97 ◊ 108 m/s through the liquid, what is the angle of refraction? A) 19.9∞ B) 26.1∞ C) 34.2∞ D) 39.3∞ E) 51.9∞

A) 19.9∞

A convex mirror in an amusement park has a radius of curvature of 3.00 m. A man stands in front of the mirror so that his image is half as tall as his actual height. At what distance must the man focus his eyes in order to see his image? A) 2.25 m B) 3.00 m C) 4.50 m D) 5.00 m E) 6.75 m

A) 2.25 m

A ray of light is normally incident on face ab of a plastic prism with an index of refraction n = 1.20 as shown. Determine the largest value of the angle α so that the ray is totally reflected at the face ac if the prism is immersed in a liquid with refractive index 1.12. A) 21∞ B) 34∞ C) 69∞ D) 78∞ E) Total internal reflection will not occur for any value of α.

A) 21∞

A light ray is traveling in a diamond (n = 2.419). If the ray approaches the diamond-air interface, what is the minimum angle of incidence that will result in all of the light reflected back into the diamond? The index of refraction for air is 1.000. A) 24.42∞ B) 32.46∞ C) 54.25∞ D) 65.58∞ E) 77.54∞

A) 24.42∞

Five balls labeled A, B, C, D, and E are placed in front of a plane mirror as shown in the figure. Which ball(s) will the observer, in the position shown, see reflected in the mirror? A) A only B) C only C) A and B D) A, B, D and E E) A, B, C, D and E

A) A only

Which one of the following statements is not a characteristic of a plane mirror? A) The image is real. B) The magnification is +1. C) The image is always upright. D) The image is reversed right to left. E) The image and object distances are equal in magnitude

A) The image is real

When an object is placed 25 cm from a lens, a real image is formed. Which one of the following conclusions is incorrect? A) The image is upright. B) The lens is a converging lens. C) The image may be reduced or enlarged. D) The image distance can be less than 25 cm. E) The focal length of the lens is less than 25 cm.

A) The image is upright

Two plane mirrors are connected perpendicular to each other, as shown in the figure. If a person looks into the corner at the image straight ahead of him and closes his left eye as shown, which one of the following statements is true? A) The left eye of the image is closed. B) The right eye of the image is closed. C) Both eyes of the image are open. D) Both eyes of the image are closed. E) There is no image straight ahead of him, so this question is meaningless.

A) The left eye of the image is closed.

Which one of the following statements concerning the image formed by a concave spherical mirror is true? A) When the object distance is less than the focal length, the image is virtual. B) When the object distance is larger than the focal length, the image is virtual. C) When the object is at the center of curvature, the image is formed at infinity. D) When the object distance is less than the focal length, the image is inverted relative to the object. E) When the object distance is larger than the focal length, the image is upright relative to the object.

A) When the object distance is less than the focal length, the image is virtual.

Complete the following statement: Fiber optics make use of A) total internal reflection. B) polarization. C) chromatic aberration. D) Brewster's angle. E) dispersion.

A) total internal reflection.

. The inverted image of a light bulb is formed on a screen located 9.00 m from a spherical mirror. The image is 4.00 times larger than the light bulb. Determine the object distance and the type of mirror used. A) +0.444 m, concave B) +2.25 m, concave C) +36.0 m. concave D) +0.0278 m, convex E) +36.0 m, convex

B) +2.25 m, concave

Joseph uses a converging lens (f = 0.12 m) to read a map located 0.080 m from the lens. What is the magnification of the lens? A) +3.4 B) +3.0 C) +1.7 D) +0.60 E) +0.33

B) +3.0

A fish swims 2.00 m below the surface of a pond. At what apparent depth does the fish appear to swim if viewed from directly above? The index of refraction of water is 1.33. A) 1.33 m B) 1.50 m C) 2.00 m D) 2.66 m E) 3.00 m

B) 1.50 m

A converging lens is used to focus light from a small bulb onto a book. The lens has a focal length of 10.0 cm and is located 40.0 cm from the book. Determine the distance from the lens to the light bulb. A) 8.6 cm B) 13 cm C) 20 cm D) 30 cm E) 50 cm

B) 13 cm

The figure shows the path of a ray of light as it travels through air and crosses a boundary into water. The index of refraction of water for this light is 1.33. 16. What is the speed of this ray of light as it travels through the water? A) 1.54 ◊ 108 m/s B) 2.26 ◊ 108 m/s C) 2.86 ◊ 108 m/s D) 3.99 ◊ 108 m/s E) 4.43 ◊ 109 m/s

B) 2.26 ◊ 108 m/s

A spherical concave mirror has a radius of curvature of 6.0 cm. At what distance from the mirror should a 6.0-cm object be placed to obtain an image that is 48 cm tall? A) 1.3 cm B) 3.6 cm should be 2.6? C) 4.2 cm D) 5.3 cm E) 6.8 cm

B) 3.6 cm

A ray of light is normally incident on face ab of a plastic prism with an index of refraction n = 1.20 as shown. Determine the largest value of the angle α so that the ray is totally reflected at the face ac if the prism is immersed in air. A) 28∞ B) 34∞ C) 45∞ D) 56∞ E) Total internal reflection will not occur for any value of α.

B) 34∞

A scuba diver shines a flashlight from beneath the surface of water (n = 1.33) such that the light strikes the water-air boundary with an angle of incidence of 37∞. At what angle is the beam refracted? A) 31∞ B) 53∞ C) 48∞ D) 65∞ E) 90∞

B) 53∞

Light is incident at the Brewster angle on a plastic plate in air. The angle of refraction is 35.0∞. 28. Determine the Brewster angle. A) 35.0∞ B) 55.0∞ C) 46.5∞ D) 43.5∞ E) 82.3∞

B) 55.0∞

Two mirrors are arranged as shown in the drawing. Light is incident from the right on the first mirror at an angle of 70∞. The light reflects toward the second mirror and is reflected at angle θ. Determine the angle θ. A) 25∞ B) 65∞ C) 45∞ D) 35∞ E) 55∞

B) 65∞

An object with a height of 4.0 cm is placed 30.0 cm from a lens. The resulting inverted image has a height of 1.5 cm. What is the focal length of the lens? A) 7.5 cm B) 8.2 cm C) 15 cm D) 17 cm E) 21 cm

B) 8.2 cm

When an object is placed 15 cm from a lens, a virtual image is formed. Which one of the following conclusions is incorrect? A) The lens may be a convex or concave. B) If the image is upright the lens must be a diverging lens. C) If the image is reduced, the lens must be a diverging lens. D) If the lens is a diverging lens, the image distance must be less than 15 cm. E) If the lens is a converging lens, the focal length must be greater than 15 cm.

B) If the image is upright the lens must be a diverging lens

A beam of light passes from air into water. Which is necessarily true? A) The frequency is unchanged and the wavelength increases. B) The frequency is unchanged and the wavelength decreases. C) The wavelength is unchanged and the frequency decreases. D) Both the wavelength and frequency increase. E) Both the wavelength and frequency decrease.

B) The frequency is unchanged and the wavelength decreases.

An object is placed 6.5 cm from a thin converging lens with a focal length of 14 cm. Which one of the following statements is true concerning the image? A) The image is virtual and 6.0 cm from the lens. B) The image is virtual and 12 cm from the lens. C) The image is real and 3.0 cm from the lens. D) The image is real and 6.0 cm from the lens. E) The image is real and 12 cm from the lens.

B) The image is virtual and 12 cm from the lens.

Complete the following statement: The term dispersion refers to the fact that the index of refraction of certain materials A) depends on the Brewster angle. B) depends on the wavelength of light. C) depends on the angle of incidence. D) depends on the intensity of light. E) depends on the polarization of light.

B) depends on the wavelength of light.

A beam of light that consists of a mixture of red, green and violet light strikes a prism (surrounded by air) as shown. Indices of refraction for this prism for the various colors are indicated in the table. An observer is located to the right of the prism as shown. Which physical phenomenon is illustrated by the fact that the prism has different refractive indices for different colors? A) Doppler effect B) dispersion C) diffraction D) total internal reflection E) interference

B) dispersion

Which physical phenomenon is illustrated by the fact that the emerging rays are spread into the component colors of the beam? A) Doppler effect B) dispersion C) diffraction D) total internal reflection E) interference

B) dispersion

The figure is a scaled diagram of an object and a converging lens surrounded by air. Only one focal point, F, of the lens is shown. Which pair of terms most accurately describes the image? A) real, upright B) real, inverted C) virtual, upright D) virtual, inverted E) virtual, reduced

B) real, inverted

An object is placed in front of a concave spherical mirror as shown below. The three rays 1, 2, and 3, leave the top of the object and, after reflection, converge at a point on the top of the image. Ray 1 is parallel to the principal axis, ray 2 passes through F, and ray 3 passes through C Which one of the following groups of terms best describes the image? A) real, upright, enlarged B) real, inverted, reduced C) virtual, upright, enlarged D) real, inverted, enlarged E) virtual, inverted, reduced

B) real, inverted, reduced

A diverging lens has a focal length of -15 cm. A 5-cm object is placed 35 cm from the lens. Which pair of terms most accurately describes the image? A) real, upright B) virtual, upright C) real, inverted D) virtual, inverted E) real, reduced

B) virtual, upright

A fiber optic line is composed of a core with an index of refraction of 1.51 and cladding with an index of 1.40. Which one of the following relations best describes angles of incidence θ that will result in total internal reflection within the fiber optic line? A) θ < 68∞ B) θ > 68∞ C) θ < 22∞ D) θ > 22∞ E) 0 ≤ θ ≤ 90∞

B) θ > 68∞

Which one of the following expressions determines the critical angle for quartz (n = 1.5) immersed in oil (n = 1.1)? A) θc = 1.5/1.1 B) θc = sinñ1 (1.1/1.5) C) θc = sin (1.1/1.5) D) θc = tanñ1 (1.1/1.5)

B) θc = sinñ1 (1.1/1.5)

Makenzie walks directly toward a plane mirror at a speed of 0.30 m/s. Determine the speed of the image relative to her. A) 0.15 m/s B) 0.30 m/s C) 0.60 m/s D) 0.90 m/s E) 1.2 m/s

C) 0.60 m/s

When certain light rays pass from a vacuum into a block of an unknown material, the measured index of refraction of the material is 3.00. What is the speed of light inside the block? A) 9.9 ◊ 106 m/s B) 4.8 ◊ 107 m/s C) 1.0 ◊ 108 m/s D) 1.9 ◊ 108 m/s E) 2.9 ◊ 108 m/s

C) 1.0 ◊ 108 m/s

Light is incident at the Brewster angle on a plastic plate in air. The angle of refraction is 35.0∞. What is the index of refraction of the plastic plate? A) 1.58 B) 1.36 C) 1.43 D) 1.61 E) 1.74

C) 1.43

An object is 1.0 m in front of a mirror. A virtual image is formed 10.0 m behind the mirror. What is the radius of curvature of the mirror? A) 0.56 m B) 1.1 m C) 2.2 m D) 4.4 m E) This problem cannot be solved without more information.

C) 2.2 m

An object with a height of 3.0-cm is placed 8.0 cm in front of a mirror. The virtual image is 4.0 cm further from the mirror when the mirror is concave than when it is planar. 42. Determine the focal length of the concave mirror. A) 6.0 cm B) 12 cm C) 24 cm D) 48 cm E) 96 cm

C) 24 cm

An object is placed near two perpendicular plane mirrors as shown in the figure. How many images will be formed? A) 1 B) 2 C) 3 D) 4 E) 5

C) 3

An object is placed in front of a concave spherical mirror as shown below. The three rays 1, 2, and 3, leave the top of the object and, after reflection, converge at a point on the top of the image. Ray 1 is parallel to the principal axis, ray 2 passes through F, and ray 3 passes through C Which ray(s) will reflect back on itself (themselves)? A) 1 only B) 2 only C) 3 only D) both 1 and 2 E) 1, 2, and 3

C) 3 only

A concave mirror has a radius of curvature of 60.0 cm. How close to the mirror should an object be placed so that the rays travel parallel to each other after reflection? A) 10.0 cm B) 15.0 cm C) 30.0 cm D) 45.0 cm E) 60.0 cm

C) 30.0 cm

A child is looking at a reflection of the sun in a pool of water. When she puts on a pair of Polaroid sunglasses with a vertical transmission axis, she can no longer see the reflection. At what angle is she looking at the pool of water? A) 45.0∞ B) 48.8∞ C) 53.1∞ D) 61.6∞ E) 77.3∞

C) 53.1∞

A 2.00-cm tall object is placed 40.0 cm from a lens. The resulting image is 8.00-cm tall and upright relative to the object. Determine the focal length of the lens. A) 26.6 cm B) 32.0 cm C) 53.3 cm D) 64.0 cm E) 80.0 cm

C) 53.3 cm

Which one of the following statements concerning a virtual image produced by a mirror is true? A) A virtual image is always larger than the object. B) A virtual image is always smaller than the object. C) A virtual image is always upright relative to the object. D) A virtual image is always inverted relative to the object. E) A virtual image can be photographed or projected onto a screen.

C) A virtual image is always upright relative to the object.

The figure is a scaled diagram of an object and a converging lens surrounded by air. Only one focal point, F, of the lens is shown. 55. At which of the labeled points will the image be formed? A) A B) B C) C D) D E) E

C) C

The index of refraction of this lens is 1.51 for red light and 1.53 for blue light. Blue light is focused at the point F. Which one of the following statements is true concerning the focal point for red light? A) It is also at F. B) It is very close to D. C) It is very close to the lens. D) It is to the left of and close to F. E) It is to the right of and close to F.

C) It is very close to the lens.

Which one of the following statements is true concerning the focal length of a lens? A) The focal length is the same for all colors. B) The focal length is different for different colors because of reflection. C) The focal length is different for different colors because of dispersion. D) The focal length is different for different colors because of polarization. E) The focal length is different for different colors because of spherical aberration.

C) The focal length is different for different colors because of dispersion

White light enters a glass prism, but the color components of the light are observed to emerge from the prism. Which one of the following statements best explains this observation? A) The separation of white light into its color components is due to the increase in the speed of light within the glass. B) Some of the color components of the white light are absorbed by the glass and only the remaining components are observed. C) The index of refraction of the glass depends on the wavelength, so the color components are refracted at different angles. D) Only some of the color components are refracted by the glass; and these are the ones that are observed. E) White light is separated into its color components by total internal reflection within the prism.

C) The index of refraction of the glass depends on the wavelength, so the color components are refracted at different angles.

A ray of blue light travels through air and is refracted as it enters a glass prism shown in the figure. An unknown liquid is in contact with the right side of the prism. The light then follows the path shown. Which one of the following statements concerning this situation is true? A) The frequency of the light changes inside the prism. B) The index of refraction of the glass is smaller than that of air. C) The index of refraction of the unknown liquid is the same as that of the glass. D) The speed of light is larger in the liquid than in the glass. E) The refractive index of the liquid is the same as that of air.

C) The index of refraction of the unknown liquid is the same as that of the glass.

The figure shows the path of a portion of a ray of light as it passes through three different materials. Note: The figure is drawn to scale. What can be concluded concerning the refractive indices of these three materials? A) n1 < n2 < n3 B) n1 > n2 > n3 C) n3 < n1 < n2 D) n2 < n1 < n3 E) n1 < n3 < n2

C) n3 < n1 < n2

A ray of light originates in medium A and is incident upon medium B. For which one of the following pairs of indices of refraction for A and B is total internal reflection not possible? nA nB A) 1.36 1.00 B) 1.26 1.15 C) 2.54 1.63 D) 1.28 1.36 E) 1.12 1.06

D) 1.28 1.36

The table below lists object and image distances for five objects placed in front of mirrors. For which one of the following cases is the image formed by a convex spherical mirror? Object distance Image distance A) 7.10 cm 18.0 cm B) 25.0 cm 16.7 cm C) 5.0 cm -10.0 cm D) 20.0 cm -5.71 cm E) 40.0 cm -80.0 cm

D) 20.0 cm -5.71 cm

A 4-cm object is placed in front of a converging lens of focal length 20 cm. The image is formed 60 cm on the other side of the lens. Which entry in the table below is correct? object distance magnitude of the image height A) 15 cm 2 cm B) 15 cm 4 cm C) 30 cm 4 cm D) 30 cm 8 cm E) 60 cm 2 cm

D) 30 cm 8 cm

Two converging lenses, each with a focal length of 0.080 m, are used in combination to form an image of an object that is located 0.24 m to the left of the left lens in the pair. The distance between the lenses is 0.16 m. What is the total magnification of this lens combination? A) +1/2 B) -1/2 C) +1 D) -1 E) +2

D) -1

The figure is a scaled diagram of a an object and a converging lens. The focal length of the lens is 5.0 units. An object is placed 3.0 units from the lens as shown. 65. Approximately, what is the image distance? A) -2.0 units B) -4.0 units C) +6.0 units D) -7.5 units E) +9.0 units

D) -7.5 units

A camera with a focal length of 0.0500 m (a 50-mm lens) is focused for an object at infinity. To focus the camera on a subject which is 4.00 m away, how should the lens be moved? A) 1.0 cm closer to the film B) 0.06 cm closer to the film C) 4.94 cm closer to the film D) 0.06 cm farther from the film E) 4.94 cm farther from the film

D) 0.06 cm farther from the film

A grizzly bear is sitting on a rock in the middle of a calm river when she observes a fish directly below. If the apparent depth of the fish is 0.40 m, what is the actual depth at which the fish is swimming? The index of refraction of water is 1.33. A) 0.80 m B) 0.71 m C) 0.62 m D) 0.53 m E) 0.45 m

D) 0.53 m

A rubber ball is held 4.0 m above a concave spherical mirror with a radius of curvature of 1.5 m. At time equals zero, the ball is dropped from rest and falls along the principal axis of the mirror. How much time elapses before the ball and its image are at the same location? A) 0.30 s B) 0.55 s C) 0.63 s D) 0.71 s E) 0.90 s

D) 0.71 s

The view in the figure is from above a plane mirror suspended by a thread connected to the center of the mirror at point C. A scale is located 0.65 m (the distance from point C to point A) to the right of the center of the mirror. Initially, the plane of the mirror is parallel to the side of the scale; and the angle of incidence of a light ray which is directed at the center of the mirror is 30∞. A small torque applied to the thread causes the mirror to turn 12∞ away from its initial position. The reflected ray then intersects the scale at point B. What is the distance from point A to point B on the scale? A) 0.37 m B) 0.58 m C) 0.76 m D) 0.89 m E) 1.0 m

D) 0.89 m

A ray of light passes from air into a block of glass with a refractive index of 1.59 as shown in the figure. Note: The drawing is not to scale. What is the value of the distance D? A) 1.42 cm B) 1.66 cm C) 1.93 cm D) 2.19 cm E) 2.38 cm

D) 2.19 cm

What is the frequency of light that has a wavelength in water of 788 nm if the refractive index for this light is 1.33? A) 3.76 ◊ 1014 Hz B) 5.00 ◊ 1014 Hz C) 6.65 ◊ 1014 Hz D) 2.86 ◊ 1014 Hz E) 9.52 ◊ 1014 Hz

D) 2.86 ◊ 1014 Hz

A diverging lens has a focal length of -15 cm. A 5-cm object is placed 35 cm from the lens. 59. Determine the approximate distance between the object and the image. A) 7 cm B) 10 cm C) 18 cm D) 24 cm E) 45 cm

D) 24 cm

The figure is a scaled diagram of a an object and a converging lens. The focal length of the lens is 5.0 units. An object is placed 3.0 units from the lens as shown. The object has a height of 1.5 units. What is the approximate height of the image? A) 2.0 units B) 1.2 units C) 5.0 units D) 3.8 units E) 9.8 units

D) 3.8 units

A ray of light propagates in water (n = 1.333) and strikes a sheet of crown glass (n = 1.523). If the angle of refraction in the glass is 35.2∞, determine the angle of incidence. A) 30.3∞ B) 32.8∞ C) 35.2∞ D) 41.2∞ E) 45.0∞

D) 41.2∞

What is the angle of refraction for this situation? A) 0.37∞ B) 0.65∞ C) 22∞ D) 41∞ E) 60∞

D) 41∞

A ray of light originating in oil (n = 1.21) is incident at the Brewster angle upon a flat surface of a quartz crystal (n = 1.458). Determine the angle of incidence for this ray. A) 0.82∞ B) 1.2∞ C) 40∞ D) 50∞ E) 56∞

D) 50∞

When an object is placed 20 cm from a diverging lens, a reduced image is formed. Which one of the following statements is necessarily true? A) The image is inverted. B) The image could be real. C) The image distance must be greater than 20 cm. D) The focal length of the lens may be less than 20 cm. E) The refractive power of the lens must be greater than 0.05 diopters

D) The focal length of the lens may be less than 20 cm

The system is immersed in a fluid other than air that has an index of refraction that is larger than that of the lens. Which one of the following statements is true concerning this new situation? A) The image will be real. B) The image will be inverted. C) The image will be enlarged relative to the object. D) The image will be formed on the same side of the lens as the object. E) The lens may act as a diverging lens or a converging lens depending on the location of the object.

D) The image will be formed on the same side of the lens as the object.

An object is placed at the focal point of a thin diverging lens of focal length f. What is the image distance? A) f B) 2f C) 1/f D) f/2 E) at an infinite distance

D) f/2

Blue light with a wavelength of 425 nm passes from a vacuum into a glass lens; and the index of refraction is found to be 1.65. The glass lens is replaced with a plastic lens. The index of refraction for the plastic lens is 1.54. In which one of the two lenses does the light have the greatest speed and what is that speed? A) glass, 2.28 ◊ 108 m/s B) plastic, 2.13 ◊ 108 m/s C) glass, 1.82 ◊ 108 m/s D) plastic, 1.95 ◊ 108 m/s E) The speed of the blue light is the same in the vacuum and both lenses; and it is 2.99 ◊ 108 m/s.

D) plastic, 1.95 ◊ 108 m/s

The bending of light as it moves from one medium to another with differing indices of refraction is due to a change in what property of the light? A) amplitude B) period C) frequency D) speed E) color

D) speed

A beam of light that consists of a mixture of red, green and violet light strikes a prism (surrounded by air) as shown. Indices of refraction for this prism for the various colors are indicated in the table. An observer is located to the right of the prism as shown. Which physical phenomenon is illustrated by the fact that the observer will not see all three colors of light? A) Doppler effect B) dispersion C) diffraction D) total internal reflection E) interference

D) total internal reflection

An object is placed 20.0 cm in front of a convex spherical mirror with radius of curvature 60.0 cm. Which one of the following phrases best describes the image? A) virtual and located at infinity B) real and located 12 cm from the mirror C) real and located 17 cm from the mirror D) virtual and located 12 cm from the mirror E) virtual and located 17 cm from the mirror

D) virtual and located 12 cm from the mirror

A 0.127-m pencil is oriented perpendicular to the principal axis of a concave spherical mirror that has a radius of curvature of 0.300 m. What are the image distance and the image height if the pencil is 0.250 m from the mirror? Image Distance Image Height A) 0.150 m -0.076 m B) 0.225 m -0.114 m C) 0.250 m -0.127 m D) 0.300 m -0.152 m E) 0.375 m -0.191 m

E) 0.375 m -0.191 m

A converging lens with a focal length of 12 cm produces a 3-cm high virtual image of a 1-cm high object. Which entry in the table below is correct? image distance location of image A) 8 cm same side of lens as object B) 8 cm opposite side of lens from object C) 12 cm opposite side of lens from object D) 24 cm opposite side of lens from object E) 24 cm same side of lens as object

E) 24 cm same side of lens as object

. A convex mirror with a focal length of 58 cm is used to form an image that is 29 cm behind the mirror. What is the object distance? A) +22 cm B) +15 cm C) +69 cm D) +28 cm E) +58 cm

E) +58 cm

In a slide projector, the slide is illuminated; and light passing through the slide then passes through a converging lens of focal length 0.10 m. If a screen is placed 5.0 m from the lens, a sharp image is observed. How far is the slide from the lens? A) 0.082 m B) 0.050 m C) 0.50 m D) 0.27 m E) 0.10 m

E) 0.10 m

The speed of light in material A is 1.4 times as large as it is in material B. What is the ratio of the refractive indices, nA/nB, of these materials? A) 1.4 B) 1.2 C) 1.0 D) 0.80 E) 0.71

E) 0.71

A second converging lens is placed 20.0 cm to the right of the lens shown in the figure. Determine the focal length of the second lens if an inverted image (relative to the object in the diagram) is formed 13.3 cm to the right of the first lens. A) 1.33 cm B) 6.67 cm C) 13.3 cm D) 15.4 cm E) 19.7 cm

E) 19.7 cm

A concave mirror has a radius of curvature of 20 cm. For which one of the following object distances will the image be real, inverted and smaller than the object? A) 5 cm B) 10 cm C) 15 cm D) 18 cm E) 25 cm

E) 25 cm

An object with a height of 3.0-cm is placed 8.0 cm in front of a mirror. The virtual image is 4.0 cm further from the mirror when the mirror is concave than when it is planar. Determine the image height in the concave mirror. A) 0.5 B) 1.5 C) 2.0 D) 3.0 E) 4.5

E) 4.5

What is the Brewster angle when light is reflected from a plastic plate (n = 1.575) submerged in ethyl alcohol (n = 1.362)? A) 68.3∞ B) 40.8∞ C) 59.8∞ D) 30.1∞ E) 49.1∞

E) 49.1∞

An object is placed 1 m in front of a plane mirror. An observer stands 3 m behind the object. For what distance must the observer focus his eyes in order to see the image of the object? A) 1 m B) 2 m C) 3 m D) 4 m E) 5 m

E) 5 m

The focal length of a spherical concave mirror is 25 cm. What is its radius of curvature? A) 5 cm B) 10 cm C) 25 cm D) 40 cm E) 50 cm

E) 50 cm

Light propagates from soda lime glass (n = 1.518) into Pyrex glass (n = 1.473). Determine the critical angle for this situation. A) 13.99∞ B) 45.86∞ C) 52.48∞ D) 65.22∞ E) 76.01∞

E) 76.01∞

Which one of the following statements concerning the index of refraction for a given material is true? A) The index of refraction may be less than 1. B) The index of refraction may be measured in nanometers. C) The index of refraction does not depend on the frequency of the incident light. D) For a given frequency, the index of refraction is inversely proportional to the wavelength of light in vacuum. E) For a given frequency, the index of refraction is inversely proportional to the wavelength of light in the material.

E) For a given frequency, the index of refraction is inversely proportional to the wavelength of light in the material.

Which one of the following statements concerning a convex mirror is true? A) A convex mirror can form a real image. B) A convex mirror must be spherical in shape. C) The image produced by a convex mirror will always be inverted relative to the object. D) A convex mirror produces a larger image than a plane mirror does for the same object distance. E) The image a convex mirror produces is closer to the mirror than it would be in a plane mirror for the same object distance.

E) The image a convex mirror produces is closer to the mirror than it would be in a plane mirror for the same object distance.

Santa Claus looks at his reflection in a spherical Christmas tree ornament. Which one of the following statements concerning Santa's image is true? A) The image must be real. B) The image is farther from the ornament than Santa is. C) The image is larger than Santa. D) The image must be inverted. E) The image must be smaller than Santa.

E) The image must be smaller than Santa.

An object is placed at the focal point of a converging lens of focal length f. What is the image distance? A) f B) 2f C) 1/f D) 2/f E) at an infinite distance

E) at an infinite distance

A plane mirror is 6 ft tall. What is its focal length? A) zero feet B) 3 ft C) 6 ft D) 12 ft E) infinity

E) infinity

A glass block with an index of refraction of 1.7 is immersed in an unknown liquid. A ray of light inside the block undergoes total internal reflection as shown in the figure. Which one of the following relations best indicates what may be concluded concerning the index of refraction of the liquid, nL? A) nL < 1.0 B) nL ≥ 1.1 C) nL ≥ 1.3 D) nL ≤ 1.1 E) nL ≤ 1.3

E) nL ≤ 1.3

A beam of light that consists of a mixture of red, green and violet light strikes a prism (surrounded by air) as shown. Indices of refraction for this prism for the various colors are indicated in the table. An observer is located to the right of the prism as shown. Which color(s) could, in principle, be seen by the observer? A) only red light B) only green light C) only violet light D) only green and red light E) only green and violet light

E) only green and violet light

Which one of the following phrases most accurately describes paraxial rays? A) rays that pass through the principal focus B) any rays that are parallel to the principal axis C) rays that come to a focus on the principal axis D) rays close to the principal axis and parallel to it E) rays close to the principal axis, but not necessarily parallel to it

E) rays close to the principal axis, but not necessarily parallel to it

In the figure, Joel is using a device known as a periscope to observe an object, represented by an upright arrow. The periscope contains two plane mirrors tilted at an angle of 45∞ relative to Joel's line of sight. Which one of the following pairs of characteristics of the final image that Joel looks at is correct relative to those of the object? A) inverted, real B) upright, enlarged C) inverted, smaller D) inverted, same size E) upright, virtual

E) upright, virtual

The figure is a scaled diagram of a an object and a converging lens. The focal length of the lens is 5.0 units. An object is placed 3.0 units from the lens as shown. Which pair of terms most accurately describes the image? A) real, upright B) real, enlarged C) real, inverted D) virtual, inverted E) virtual, upright

E) virtual, upright