Question 1

In a Young's double slit experiment, the separation between the slits is 1.20 × 10-4 m; and the screen is located 3.50 m from the slits. The distance between the central bright fringe and the second-order bright fringe is 0.0375 m. What is the wavelength of the light used in this experiment?

Accepted Answer

A) 428 nm 
B) 474 nm 
C) 517 nm 
D) 642 nm 
E) 711 nm

Question 2

When light with a wavelength of 425 nm uniformly illuminates a single slit, the central bright fringe, observed on a screen located 0.630 m from the slit, has a width of 0.0166 m. What is the width of the slit?

Accepted Answer

A) 1.61 × 10-5 m 
B) 3.23 × 10-5 m 
C) 4.84 × 10-5 m 
D) 8.07 × 10-5 m 
E) 1.09 × 10-4 m

Question 3

A monochromatic beam of microwaves with a wavelength of 0.052 m is directed at a rectangular opening of width 0.35 m. The resulting diffraction pattern is measured along a wall 8.0 m from the opening. What is the distance between the first- and second-order dark fringes?

Accepted Answer

A) 1.3 m 
B) 1.8 m 
C) 2.1 m 
D) 2.5 m 
E) 3.7 m

Question 4

Light of wavelength 530 nm is incident on two slits that are spaced 1.0 mm apart. If each of the slits has a width of 0.10 mm, how many interference maxima lie within the central diffraction peak?

Accepted Answer

A) 1 
B) 4 
C) 12 
D) 21 
E) infinity

Question 5

Light of 600.0 nm is incident upon a single slit. The resulting diffraction pattern is observed on a screen that is 0.50 m from the slit. The distance between the first and third minima of the diffraction pattern is 0.80 mm. Which range of values listed below contains the width of the slit?

Accepted Answer

A) 0.1 mm to 0.4 mm 
B) 0.4 mm to 0.8 mm 
C) 0.8 mm to 1.2 mm 
D) 1.2 mm to 1.6 mm 
E) 1.6 mm to 2.0 mm

Question 6

In a Young's double slit experiment, green light is incident on the two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the fringes to be more closely spaced?

Accepted Answer

A) Reduce the slit separation distance. 
B) Use red light instead of green light. 
C) Use blue light instead of green light. 
D) Move the screen farther away from the slits. 
E) Move the light source farther away from the slits.

Question 7

A transparent film (n = 1.4) is deposited on a glass lens (n = 1.5) to form a non-reflective coating. What thickness would prevent reflection of light with wavelength 5.00 × 102 nm in air?

Accepted Answer

A) 89 nm 
B) 125 nm 
C) 170 nm 
D) 250 nm 
E) 357 nm

Question 8

Red light of wavelength 600.0 nm is incident on a grating. If the separation between the slits is 5.0 × 10-5 m, at what angle does the first principal maximum occur?

Accepted Answer

A) 0.6 × 10-2 rad 
B) 0.8 × 10-2 rad 
C) 1.2 × 10-2 rad 
D) 3.6 × 10-2 rad 
E) 5.0 × 10-2 rad

Question 9

What does one observe on the screen in a Young's experiment if white light illuminates the double slit instead of light of a single wavelength?

Accepted Answer

A) a white central fringe and no other fringes 
B) a dark central fringe and a series of alternating white and dark fringes on each side of the center 
C) a white central fringe and a series of colored and dark fringes on each side of the center 
D) a continuous band of colors with no dark fringes anywhere 
E) a dark screen since no constructive interference can occur

Question 10

Two slits are separated by 2.00 × 10-5 m. They are illuminated by light of wavelength 5.60 × 10-7 m. If the distance from the slits to the screen is 6.00 m, what is the separation between the central bright fringe and the third dark fringe?

Accepted Answer

A) 0.421 m 
B) 0.224 m 
C) 0.168 m 
D) 0.084 m 
E) 0.070 m

Question 11

A 4.0 × 102-nm thick film of kerosene (n = 1.2) is floating on water. White light is normally incident on the film. What is the visible wavelength in air that has a maximum intensity after the light is reflected? Note: the visible wavelength range is 380 nm to 750 nm.

Accepted Answer

A) 380 nm 
B) 420 nm 
C) 480 nm 
D) 530 nm 
E) 601 nm

Question 12

The table lists the range of wavelengths in vacuum corresponding to a given color. If light one illuminates a film that has a refractive index of 1.333 and thickness of 183 nm with white light, which color is missing from the light reflected from the film?

Accepted Answer

A) red 
B) yellow 
C) blue 
D) green 
E) orange

Question 13

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm.
v 
-Which fringe is the same distance from both slits?

Accepted Answer

A) A 
B) B 
C) C 
D) D 
E) E

Question 14

Light of wavelength 530 nm is incident on two slits that are spaced 1.0 mm apart. How far from the slits should the screen be placed so that the distance between the m = 0 and m = 1 bright fringes is 1.0 cm?

Accepted Answer

A) 7.9 m 
B) 9.5 m 
C) 16 m 
D) 19 m 
E) 36 m

Question 15

A diffraction grating that has 4500 lines/cm is illuminated by light that has a single wavelength. If a second order maximum is observed at an angle of 42° with respect to the central maximum, what is the wavelength of this light?

Accepted Answer

A) 1500 nm 
B) 370 nm 
C) 930 nm 
D) 1100 nm 
E) 740 nm

Question 16

Light of wavelength 700.0 nm passes through a diffraction grating. The m = 0 and m = 1 bright spots are 6.0 cm apart on a screen positioned 2.0 m from the grating. What is the spacing between the slits in the grating?

Accepted Answer

A) 23.3 mm 
B) 42.0 $\mu$m 
C) 46.7 $\mu$m 
D) 73.8 $\mu$m 
E) 124 $\mu$m

Question 17

Monochromatic light of wavelength $\lambda$film is normally incident on a soap film in air. In terms of the wavelength, what is the thickness of the thinnest film for which the intensity of the reflected light will be a maximum?

Accepted Answer

A) $\lambda$film/4 
B) $\lambda$film/2 
C) 3 $\lambda$film/4 
D) $\lambda$film 
E) 3 $\lambda$film/2

Exam 27: Interference and the Wave Nature of Light

In a Young's double slit experiment, the separation between the slits is 1.20 × 10^-⁴ m; and the screen is located 3.50 m from the slits. The distance between the central bright fringe and the second-order bright fringe is 0.0375 m. What is the wavelength of the light used in this experiment?

When light with a wavelength of 425 nm uniformly illuminates a single slit, the central bright fringe, observed on a screen located 0.630 m from the slit, has a width of 0.0166 m. What is the width of the slit?

A monochromatic beam of microwaves with a wavelength of 0.052 m is directed at a rectangular opening of width 0.35 m. The resulting diffraction pattern is measured along a wall 8.0 m from the opening. What is the distance between the first- and second-order dark fringes?

Light of wavelength 530 nm is incident on two slits that are spaced 1.0 mm apart. If each of the slits has a width of 0.10 mm, how many interference maxima lie within the central diffraction peak?

Light of 600.0 nm is incident upon a single slit. The resulting diffraction pattern is observed on a screen that is 0.50 m from the slit. The distance between the first and third minima of the diffraction pattern is 0.80 mm. Which range of values listed below contains the width of the slit?

In a Young's double slit experiment, green light is incident on the two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the fringes to be more closely spaced?

A transparent film (n = 1.4) is deposited on a glass lens (n = 1.5) to form a non-reflective coating. What thickness would prevent reflection of light with wavelength 5.00 × 10²nm in air?

Red light of wavelength 600.0 nm is incident on a grating. If the separation between the slits is 5.0 × 10^-⁵ m, at what angle does the first principal maximum occur?

What does one observe on the screen in a Young's experiment if white light illuminates the double slit instead of light of a single wavelength?

Two slits are separated by 2.00 × 10^-⁵ m. They are illuminated by light of wavelength 5.60 × 10^-⁷m. If the distance from the slits to the screen is 6.00 m, what is the separation between the central bright fringe and the third dark fringe?

A 4.0 × 10²-nm thick film of kerosene (n = 1.2) is floating on water. White light is normally incident on the film. What is the visible wavelength in air that has a maximum intensity after the light is reflected? Note: the visible wavelength range is 380 nm to 750 nm.

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm. v -Which fringe is the same distance from both slits?

Light of wavelength 530 nm is incident on two slits that are spaced 1.0 mm apart. How far from the slits should the screen be placed so that the distance between the m = 0 and m = 1 bright fringes is 1.0 cm?

A diffraction grating that has 4500 lines/cm is illuminated by light that has a single wavelength. If a second order maximum is observed at an angle of 42° with respect to the central maximum, what is the wavelength of this light?

Light of wavelength 700.0 nm passes through a diffraction grating. The m = 0 and m = 1 bright spots are 6.0 cm apart on a screen positioned 2.0 m from the grating. What is the spacing between the slits in the grating?

Monochromatic light of wavelength $\lambda$ _film is normally incident on a soap film in air. In terms of the wavelength, what is the thickness of the thinnest film for which the intensity of the reflected light will be a maximum?

Exam 27: Interference and the Wave Nature of Light

In a Young's double slit experiment, the separation between the slits is 1.20 × 10-4 m; and the screen is located 3.50 m from the slits. The distance between the central bright fringe and the second-order bright fringe is 0.0375 m. What is the wavelength of the light used in this experiment?

When light with a wavelength of 425 nm uniformly illuminates a single slit, the central bright fringe, observed on a screen located 0.630 m from the slit, has a width of 0.0166 m. What is the width of the slit?

A monochromatic beam of microwaves with a wavelength of 0.052 m is directed at a rectangular opening of width 0.35 m. The resulting diffraction pattern is measured along a wall 8.0 m from the opening. What is the distance between the first- and second-order dark fringes?

Light of wavelength 530 nm is incident on two slits that are spaced 1.0 mm apart. If each of the slits has a width of 0.10 mm, how many interference maxima lie within the central diffraction peak?

Light of 600.0 nm is incident upon a single slit. The resulting diffraction pattern is observed on a screen that is 0.50 m from the slit. The distance between the first and third minima of the diffraction pattern is 0.80 mm. Which range of values listed below contains the width of the slit?

In a Young's double slit experiment, green light is incident on the two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the fringes to be more closely spaced?

A transparent film (n = 1.4) is deposited on a glass lens (n = 1.5) to form a non-reflective coating. What thickness would prevent reflection of light with wavelength 5.00 × 102 nm in air?

Red light of wavelength 600.0 nm is incident on a grating. If the separation between the slits is 5.0 × 10-5 m, at what angle does the first principal maximum occur?

What does one observe on the screen in a Young's experiment if white light illuminates the double slit instead of light of a single wavelength?

Two slits are separated by 2.00 × 10-5 m. They are illuminated by light of wavelength 5.60 × 10-7 m. If the distance from the slits to the screen is 6.00 m, what is the separation between the central bright fringe and the third dark fringe?

A 4.0 × 102-nm thick film of kerosene (n = 1.2) is floating on water. White light is normally incident on the film. What is the visible wavelength in air that has a maximum intensity after the light is reflected? Note: the visible wavelength range is 380 nm to 750 nm.

The table lists the range of wavelengths in vacuum corresponding to a given color. If light one illuminates a film that has a refractive index of 1.333 and thickness of 183 nm with white light, which color is missing from the light reflected from the film?

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm. v -Which fringe is the same distance from both slits?

Light of wavelength 530 nm is incident on two slits that are spaced 1.0 mm apart. How far from the slits should the screen be placed so that the distance between the m = 0 and m = 1 bright fringes is 1.0 cm?

A diffraction grating that has 4500 lines/cm is illuminated by light that has a single wavelength. If a second order maximum is observed at an angle of 42° with respect to the central maximum, what is the wavelength of this light?

Light of wavelength 700.0 nm passes through a diffraction grating. The m = 0 and m = 1 bright spots are 6.0 cm apart on a screen positioned 2.0 m from the grating. What is the spacing between the slits in the grating?

Monochromatic light of wavelength λ\lambdaλ film is normally incident on a soap film in air. In terms of the wavelength, what is the thickness of the thinnest film for which the intensity of the reflected light will be a maximum?

In a Young's double slit experiment, the separation between the slits is 1.20 × 10^-⁴ m; and the screen is located 3.50 m from the slits. The distance between the central bright fringe and the second-order bright fringe is 0.0375 m. What is the wavelength of the light used in this experiment?

A transparent film (n = 1.4) is deposited on a glass lens (n = 1.5) to form a non-reflective coating. What thickness would prevent reflection of light with wavelength 5.00 × 10²nm in air?

Red light of wavelength 600.0 nm is incident on a grating. If the separation between the slits is 5.0 × 10^-⁵ m, at what angle does the first principal maximum occur?

Two slits are separated by 2.00 × 10^-⁵ m. They are illuminated by light of wavelength 5.60 × 10^-⁷m. If the distance from the slits to the screen is 6.00 m, what is the separation between the central bright fringe and the third dark fringe?

A 4.0 × 10²-nm thick film of kerosene (n = 1.2) is floating on water. White light is normally incident on the film. What is the visible wavelength in air that has a maximum intensity after the light is reflected? Note: the visible wavelength range is 380 nm to 750 nm.

Monochromatic light of wavelength $\lambda$ _film is normally incident on a soap film in air. In terms of the wavelength, what is the thickness of the thinnest film for which the intensity of the reflected light will be a maximum?