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1. 2. 3. 4. 5. A laser beam {image} is incident on two slits 0.104 mm apart. Approximately how far apart (in m) will the bright interference fringes be on the screen 5.09 m from the double slits? • {image} • {image} • {image} • {image} • {image}

Estimate the distance (in cm) between the central bright region and the third dark fringe on a screen 5.06 m from two double slits 0.502 mm apart illuminated by 506 nm light. • 1.28 • 1.79 • 2.30 • 1.08 • 2.21

Light is incident on a double-slit. The fifth bright band has an angular distance of {image} from the central maximum. What is the distance between the slits (in {image} )? (Assume the frequency of the light is {image} ) • 20 • 11 • 22 • 15 • 27

1. 2. 3. 4. 5. For small angle approximations the angle must be _____ . • {image} or less • {image} or less • 2 radians or less • {image} or less • 20 radians or less

Two slits separated by 0.15 mm are illuminated with green light {image} Calculate the distance (in cm) from the central bright region to the fourth bright band if the screen is 1.2 m away. • 1.5 • 1.9 • 3.7 • 3.6 • 1.7

Two slits are illuminated with green light {image} The slits are 0.06 mm apart and the distance to the screen is 1.6 m. At what distance (in mm) from the central maximum on the screen is the average intensity 47% of the intensity of the central maximum? • 2 • 5 • 3 • 4 • 0.4

Two slits separated by 0.055 mm are illuminated with green light {image} How many bands of bright lines are there between the central maximum and the 14 cm position? (The distance between the double slits and the screen is 1.0 m ). • 14 • 14,259 • 142,592 • 142 • 1,425

Two slits are illuminated with red light {image} The slits are 0.22 mm apart and the distance to the screen is 1.25 m. What fraction of the maximum intensity on the screen is the intensity measured at a distance 3.2 mm from the central maximum? • 0.85 • 0.94 • 0.83 • 0.78 • 0.63

In a double-slit experiment, the distance between the slits is 0.2 mm, and the distance to the screen is 170 cm. What wavelength (in nm) is needed to have the intensity at a point 1 mm from the central maximum on the screen be 59% of the maximum intensity? • 600 • 460 • 530 • 560 • 570

1. 2. 3. 4. 5. In a double slit experiment, the distance between the slits is 0.2 mm and the distance to the screen is 150 cm. What is the phase difference between the waves from the two slits arriving at a point {image} when the angular distance of {image} is {image} relative to the central peak, and the wavelength is 508 nm? (Convert your result so the angle is between 0 and {image} ) • {image} • {image} • {image} • {image} • {image}

1. 2. 3. 4. 5. In a double slit experiment, the distance between the slits is 0.2 mm and the distance to the screen is 108 cm. What is the phase difference between the waves from the two slits arriving at a point 6 mm from the central maximum when the wavelength is 390 nm? (Convert your result so the angle is between 0 and {image} ) • {image} • {image} • {image} • {image} • {image}

1. 2. 3. 4. 5. The electric fields arriving at a point {image} from three coherent sources are described by {image} {image} and {image} Assume the resultant field is represented by {image} What is the amplitude of the resultant wave at {image} ? • {image} • {image} • {image} • {image} • {image}

An interference pattern is produced at point P on a screen as a result of direct rays and rays reflected off a mirror as shown in the figure below. If the source is 102 m to the left of the screen, 1.2 cm above the mirror, and the source is monochromatic ( {image} ), find the distance {image} (in mm) to the first dark band above the screen. {applet} • 2.1 • 1.9 • 1.8 • 3.1 • 4.2

An interference pattern is produced at point P on a screen as a result of direct rays and rays reflected off a mirror as shown in the figure below. If the source is 127 m to the left of the screen, 1.1 cm above the mirror, and the source is monochromatic ( {image} ), find the distance {image} (in mm) to the first bright fringe. {applet} • 4.31 • 2.87 • 1.44 • 1.11 • 1.55

1. 2. 3. 4. 5. An interference pattern is produced at point P on a screen as a result of direct rays and rays reflected off a mirror as shown in the figure below. If the source is 100 m to the left of the screen, 1.0 cm above the mirror, and the source is monochromatic {image} find the condition for maximum intensity (constructive interference) on the screen in terms of {image} {image} and {image} {applet} • {image} • {image} • {image} • {image} • none of these

1. 2. 3. 4. 5. An interference pattern is produced at point P on a screen as a result of direct rays and rays reflected off a mirror as shown in the figure below. If the source is 100 m to the left of the screen, 1.0 cm above the mirror, and the source is monochromatic {image} find the conditions for maximum brightness on the screen in terms of {image} {image} and {image} {applet} • {image} • {image} • {image} • {image} • none of these

Monochromatic light {image} is incident on a soap bubble {image} What is the wavelength of the light (in nm) in the bubble film? • 212 • 502 • 364 • 204 • 509

1. 2. 3. 4. 5. Monochromatic light {image} is incident on a soap bubble {image} that is 59 mm thick. What is the change of phase of the light reflected from the front surface? • {image} • {image} • {image} • {image} • {image}

1. 2. 3. 4. 5. Monochromatic light {image} is incident on a soap bubble {image} that is 490 nm thick. Calculate the change of phase of the light that penetrates the front surface, reflects from the second surface, and emerges through the first surface as an angle between {image} and {image} . • {image} • {image} • {image} • {image} • {image}

Monochromatic light {image} is incident on a soap bubble {image} How thick is the bubble (in nm) if destructive interference occurs in the reflected light? • 178 • 65 • 4 • 186 • 191

The light reflected from a soap bubble {image} appears red {image} at its center. What is the minimum thickness (in nm)? • 111 • 134 • 124 • 169 • 119

A thin sheet of plastic {image} is inserted between two panes of glass to reduce infrared {image} losses. What thickness (in nm) is necessary to produce constructive interference in the reflected infrared radiation? • 102 • 127 • 111 • 112 • 110

In a Newton's rings apparatus, find the phase difference (in radians) when an air wedge of 496-nm thickness is illuminated with red light {image} • 3 • 12 • 13 • 8 • 5

1. 2. 3. 4. 5. The figure below shows two point sources of light, A and B, that emit light waves in phase with each other. A is at a distance {image} from point P. B is at a distance {image} from P. ( {image} is the wavelength.) What is the phase difference between the waves arriving at P from A and B? {applet} • {image} • {image} • {image} • {image} • {image}

1. 2. 3. 4. 5. The figure below shows two point sources of light, A and B. B emits light waves that are {image} radians out of phase with the waves from A. A is {image} from P. B is {image} from P. ( {image} is the wavelength.) What is the phase difference between waves arriving at P from A and B? {applet} • {image} • {image} • {image} • {image} • {image}

What do the bright and dark bands you see in a photograph of a four-slit interference pattern represent? • The image of the sources of light that these slits represent. • The respective positions of bright and dark particles of light. • The respective positions of the crests and the troughs of the light wave. • An interference pattern that is not present unless it is produced by the camera lens. • The respective positions of constructive and destructive interference of light from the four sources.

In an interference pattern, the wavelength and frequency are _____ . • unchanged in regions of destructive interference but smaller in regions of constructive interference. • unchanged in regions of destructive interference but greater in regions of constructive interference. • the same in both the regions of constructive interference and the regions of destructive interference. • greater in regions of constructive interference than in regions of destructive interference. • smaller in regions of constructive interference than in regions of destructive interference.

2. 1. 3. 4. 5. A planar cross section through two spherical waves emanating from the sources {image} and {image} in the plane is shown in the figure below. {image} and {image} are in phase. The black circles are one and two wavelengths from their respective sources. The lighter circles are one half and one and a half wavelengths distant from their respective sources. If the waves shown arriving at {image} both arrive with amplitude {image} what is the resultant amplitude at point {image} ? {applet} • {image} • {image} • {image} • {image} • {image}

1. 2. 3. 4. 5. A planar cross section through two spherical waves emanating from the sources {image} and {image} in the plane is shown in the figure below. {image} and {image} are in phase. The black circles are one and two wavelengths from their respective sources. The lighter circles are one half and one and a half wavelengths distant from their respective sources. If the waves shown arriving at {image} both arrive with amplitude {image} what is the resultant amplitude at point {image} ? {applet} • {image} • {image} • {image} • {image} • {image}

2. 1. 3. 4. 5. A planar cross section through two spherical waves emanating from the sources {image} and {image} in the plane is shown in the figure below. The black circles are one and two wavelengths from their respective sources. The lighter circles are one half and one and a half wavelengths distant from their respective sources. If the phase at {image} and {image} is zero at this instant, and the waves shown arriving at {image} both arrive with amplitude {image} what is the phase angle (in radians) of each wave at point {image} ? {applet} • {image} • {image} • {image} • {image} • {image}

2. 1. 3. 4. 5. A planar cross section through two spherical waves emanating from the sources {image} and {image} in the plane is shown in the figure below. The black circles are one and two wavelengths from their respective sources. The lighter circles are one half and one and a half wavelengths distant from their respective sources. If the phase at {image} and {image} is zero at this instant, and the waves shown arriving at {image} both arrive with amplitude {image} what is the difference in phase angle (in radians) at point {image} ? {applet} • {image} • {image} • {image} • {image} • {image}

1. 2. 3. 4. 5. When a central dark fringe is observed in reflection in a circular interference pattern, what is the phase difference (in radians) of the waves reflected from the upper and lower surfaces of the medium? • {image} • {image} • {image} • {image} • {image}

1. 2. 3. 4. 5. A film of index of refraction {image} coats a surface with index of refraction {image} When {image} what is the condition for constructive interference for reflected monochromatic light of wavelength {image} in air? • {image} • {image} • {image} • {image} • {image}

1. 2. 3. 4. 5. A film of index of refraction {image} coats a surface with index of refraction {image} When {image} what is the condition for destructive interference for reflected monochromatic light of wavelength {image} in air? • {image} • {image} • {image} • {image} • {image}

1. 2. 3. 4. 5. Find the superposition of two waves {image} and {image} arriving at the same point in space at the same time. • {image} • {image} • {image} • {image} • {image}

If you were to blow smoke into the space between the barrier and the viewing screen of the figure below, the smoke would show _____. {image} • no evidence of interference between the barrier and the screen. • evidence of interference everywhere between the barrier and the screen.

In a two-slit interference pattern projected on a screen, the fringes are equally spaced on the screen _____. • everywhere. • only for large angles. • only for small angles.

Which of the following will cause the fringes in a two-slit interference pattern to move farther apart? • decreasing the wavelength of the light • decreasing the screen distance L • decreasing the slit spacing d • immersing the entire apparatus in water.

At dark areas in an interference pattern, the light waves have canceled. Thus, there is zero intensity at these regions and, therefore, no energy is arriving. Consequently, when light waves interfere and form an interference pattern, _____. • energy conservation is violated because energy disappears in the dark areas • energy transferred by the light is transformed to another type of energy in the dark areas • the total energy leaving the slits is distributed among light and dark areas and energy is conserved

1. 2. 3. 4. Using the figure below as a model, sketch the interference pattern from six slits. {image} • {image} • {image} • {image} • {image}

In a laboratory accident, you spill two liquids onto water, neither of which mixes with the water. They both form thin films on the water surface. When the films become very thin as they spread, you observe that one film becomes bright and the other dark in reflected light. The film that is dark _____. • has an index of refraction higher than that of water. • has an index of refraction lower than that of water. • has an index of refraction equal to that of water. • has an index of refraction lower than that of the bright film.

One microscope slide is placed on top of another with their left edges in contact and a human hair under the right edge of the upper slide. As a result, a wedge of air exists between the slides. An interference pattern results when monochromatic light is incident on the wedge. At the left edges of the slides, there is _____. • a dark fringe. • a bright fringe. • impossible to determine.

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