Robert

In a Young's double-slit experiment, the seventh dark fringe is located 0.034 m to the side of the central bright fringe on a flat screen, which is 1.0 m away from the slits. The separation between the slits is 1.6 x 10^-4 m. What is the wavelength of the light being used?

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ANSWER: ________ m

Two slits are 0.169 mm apart. A mixture of red light (wavelength = 672 nm) and yellow-green light (wavelength = 557 nm) falls on the slits. A flat observation screen is located 3.11 m away. What is the distance on the screen between the third-order red fringe and the third-order yellow-green fringe?

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ANSWER: __________ m

A tank of gasoline (n = 1.40) is open to the air (n = 1.00). A thick film of liquid floats on the gasoline and has a refractive index that is between 1.00 and 1.40. Light that has a wavelength of 660 nm (in vacuum) shines perpenducularly down through the air onlto this film, and this light looks bright due to constructive interference. The thickness of the film is 265 nm and is the minimum nonzero thickness for which constructive interference can occur. What is the refractive index of the film?

ANSWER: ______

A soap film (n = 1.33) is 487 nm thick and lies on a glass plate (n = 1.52). Sunlight, whose wavelengths (in vacuum) extend from 380 to 750 nm, travels through the air and strikes the film perpendicularly. For which wavelength(s) in this range does destructive interference cause the film to look dark in reflected light?

ANSWER: λvacuum = ______ nm

A single slit has a width of 1.8 x 10E-6 m and is used to form a diffraction pattern. Find the angle that locates the second dark fringe when the wavelength of the light is (a)438 nm and (b)677 nm.

ANSWERS:

(a) ______ °

(b) ______ °

A slit has a width of W1 = 1.6 x 10E-6 m. When light with a wavelength of λ1 = 560 nm passes through this slit, the width of the central bright fringe on a flat observation screen has a certain value. With the screen kept in the same place, this slit is replaced with a second slit (width W2), and a wavelength of λ2 = 530 nm is used. The width of the central bright fringe on the screen is observed to be unchanged. Find W2.

ANSWER: W2 = ______ m

Two stars are 2.3 x 10E11 m apart and are equally distant from the earth. A telescope has an objective lens with a diameter of 1.61 m and just detects these stars as separate objects. Assume that light of wavelength 490 nm is being observed. Also, assume that diffraction effects, rather than atmospheric turbulence, limit the resolving power of the telescope. Find the maximum distance that these stars could be from the earth.

ANSWER: ______ m

An inkjet printer uses tiny dots of red, green, and blue ink to produce an image. Assume that the dot separation on the printed page is the same for all colors. At normal viewing distances, the eye does not resolve the individual dots, regardless of color, so that the image has a normal look. The wavelengths for red, green, and blue are λred = 660 nm, λgreen = 550 nm, and λblue = 470 nm. The diameter of the pupil through which light enters the eye is 2.0 mm. For a viewing distance of 0.7 m, what is the maximum allowable dot separation?

ANSWER: s = ______ m

The light shining on a diffraction grating has a wavelength of 464 nm (in vacuum). The grating produces a second-order bright fringe whose position is defined by an angle of 9.59°. How many lines per centimeter does the grating have?

ANSWER: ______ lines/cm

An olive is at the bottom of a glass of alcohol (n = 1.36), 6.41 cm beneath the surface. Above the alcohol is air. To a person in the air, who is directly above the olive, what is the apparent depth d' of the olive.

ANSWER: d' = __________ cm

A nearsighted person wears glasses to correct the problem. The lenses in the glasses have a focal length of -472 cm and are worn 2.0 cm from the eyes. With the glasses the person can see an object clearly that is very far away. How far from the eyes is the person’s far point located?

ANSWER: Far Point = __________ cm

The frequency of a light wave is the same when the light travels in two different media. Assuming that the refraction indices of the two media are 1.149 and 2.293, respectively, find the ratio of the wavelength of the light in the first medium to that in the second medium.

Answer: __________ No units

A slide projector has a converging lens whose focal length is 140.00 mm. (a) How far (in meters) from the lens must the screen be located if a slide is placed 145.83 mm from the lens? If the slide measures 24.0 mm (height) x 36.0 mm (width), what are the magnitudes of the (b) width (in mm) and (c) height (in mm) of its image?

(a): __________ m

(b): __________ mm

(c): __________ mm

The drawing shows a laser beam shining on a plane mirror that is perpendicular to the floor. The angle of incidence is 33.0°. The beam emerges from the laser at a point that is 1.10 m from the mirror and 1.80 m above the floor. After reflection, how far from the base of the mirror does the beam strike the floor?

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ANSWER: __________ m

A convex mirror has a focal length of -20 cm. Find the magnification produced by the mirror when the object distance is (a) 10 cm and (b) 19 cm.

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(a) m1 = + __________

(b) m2 = + __________

An object that is 34 cm in front of a convex mirror has an image located 17 cm behind the mirror. How far behind the mirror is the image located when the object is 21 cm in front of the mirror?

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ANSWER = __________ cm

A ray of light strikes a plane mirror at a 45° angle of incidence. The mirror is then rotated by 21° into the position shown in red in the drawing, while the incident ray is kept fixed. (a) Through what angle (Theta) does the reflected ray rotate? (b) What is the answer to part (a) if the angle of incidence is 63° instead of 45°?

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(a): __________ ° (degrees)

(b): __________ ° (degrees)

An object is placed 11 cm in front of a concave mirror whose focal length is 22 cm. The object is 2.4 cm tall. Determine (a) the location of the image, taking a real image as a positive value and a virtual image as a negative value. (b) Determine the height of the image, where an upright image will have a positive height and an inverted image will have a negative height.

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(a): __________ cm

(b): __________ cm

A mirror produces an image that is located 37.0 cm behind the mirror, when the object is located 9.40 cm in front of the mirror. (a) What is the focal length of the mirror? (b) Is the mirror 1 - concave or 2 - convex? (Give the number of the correct answer.)

(a): __________ cm

(b): 1

A concave mirror has a focal length of 30.8 cm. The distance between an object and its image is 56.5 cm. Find (a) the object and (b) the image distance assuming that the object lies beyond the center of curvature.

(a): __________ cm

(b): __________ cm