Question 1

In the two-slit experiment, for the condition of dark fringes, the value of m = +4 corresponds to a path difference of

Accepted Answer

A)  (1/2)λ 
B)  (3/2)λ 
C)  (5/2)λ 
D)  (7/2)λ 
E)  (9/2)λ 
A)  (1/2)λ 
B)  (3/2)λ 
C)  (5/2)λ 
D)  (7/2)λ 
E)  (9/2)λ

Question 2

Light of wavelength 610 nm is incident on a slit 0.20 mm wide and the diffraction pattern is produced on a screen that is 1.5 m from the slit. What is the width of the central maximum?

Accepted Answer

A)  0.34 cm 
B)  0.68 cm 
C)  0.92 cm 
D)  1.2 cm 
E)  1.5 cm 
A)  0.34 cm 
B)  0.68 cm 
C)  0.92 cm 
D)  1.2 cm 
E)  1.5 cm

Question 3

In the two-slit experiment, for the condition of bright fringes, the value of m = +2 corresponds to a path difference of λ.

Accepted Answer

A) True 
 B)False

Question 4

The distance between the slits in the two-slit experiment is 1.50 × 10-5 m. A beam of light of wavelength 600 nm is used and the distance between the slit and the screen is 2.00 m. What is the distance on the screen between the central bright fringe and the 4th order bright fringe?

Accepted Answer

A)  0.132 m 
B)  0.201 m 
C)  0.324 m 
D)  0.528 m 
E)  0.688 m 
A)  0.132 m 
B)  0.201 m 
C)  0.324 m 
D)  0.528 m 
E)  0.688 m

Question 5

When red light illuminates a grating with 7000. lines per centimeter, its second maximum is at 62.4°. What is the wavelength of the light?

Accepted Answer

The answer of When red light illuminates a grating with...

Question 6

A 500 nm wavelength light illuminates a soap film with an index of refraction 1.33 to make it look bright. If the beam of light is incident normal on the film, what is the minimum thickness of the film?

Accepted Answer

A)  47.0 nm 
B)  74.0 nm 
C)  94.0 nm 
D)  152 nm 
E)  268 nm 
A)  47.0 nm 
B)  74.0 nm 
C)  94.0 nm 
D)  152 nm 
E)  268 nm

Question 7

In a single slit diffraction experiment, the width of the slit is 3.1 × 10-5 m and the distance from the slit to the screen is 2.2 m. If the beam of light of wavelength 600 nm passes through the slit and forms a diffraction pattern on the screen, what is the linear distance on the screen from the center of the diffraction pattern to the second dark fringe?

Accepted Answer

A)  3.9 cm 
B)  4.2 cm 
C)  6.3 cm 
D)  2.1 cm 
E)  8.5 cm 
A)  3.9 cm 
B)  4.2 cm 
C)  6.3 cm 
D)  2.1 cm 
E)  8.5 cm

Question 8

The particle theory of light, as well as the wave theory of light, are both supported by the interference of light.

Accepted Answer

A) True 
 B)False

Question 9

In a single-slit diffraction experiment, the width of the slit is 1.90 μm. If a beam of light of wavelength 610 nm forms a diffraction pattern, what is the angle associated with the second dark fringe above the central bright fringe?

Accepted Answer

A)  11.4° 
B)  9.35° 
C)  12.2° 
D)  39.9° 
E)  18.7° 
A)  11.4° 
B)  9.35° 
C)  12.2° 
D)  39.9° 
E)  18.7°

Question 10

In the two-slit experiment, the distance between the slits and the screen is 1.1 m and the distance between the slits is 0.040 mm. If the first-order bright fringe is measured to be 3.4 cm from the centerline, what is the distance between the adjacent bright fringes?

Accepted Answer

A)  1.7 cm 
B)  5.1 cm 
C)  7.0 cm 
D)  6.8 cm 
E)  3.4 cm 
A)  1.7 cm 
B)  5.1 cm 
C)  7.0 cm 
D)  6.8 cm 
E)  3.4 cm

Question 11

In a single slit diffraction experiment, the width of the slit is 3.1 × 10-5 m and the distance from the slit to the screen is 2.2 m. If the beam of light of wavelength 600 nm passes through the slit and forms a diffraction pattern on the screen, what is the linear distance on the screen from the center of the diffraction pattern to the first dark fringe?

Accepted Answer

A)  2.1 cm 
B)  4.3 cm 
C)  6.3 cm 
D)  7.4 cm 
E)  8.5 cm 
A)  2.1 cm 
B)  4.3 cm 
C)  6.3 cm 
D)  7.4 cm 
E)  8.5 cm

Question 12

When light travels from a larger index of refraction towards a smaller index of refraction, there is no phase change upon reflection at the boundary.

Accepted Answer

A) True 
 B)False

Question 13

In a diffraction experiment, light of 600. nm wavelength produces a first-order maximum 0.350 mm from the central maximum on a distant screen. A second monochromatic source produces a third-order maximum 0.870 mm from the central maximum when it passes through the same diffraction grating. What is the wavelength of the light from the second source?

Accepted Answer

The answer of In a diffraction experiment, light of 600....

Question 14

In Young's two-slit experiment, the distance between the slits and the screen is 1.1 m and the distance between the slits is 0.040 mm. If the second order bright fringe is measured to be 4.2 cm from the centerline, what is the distance between the adjacent fringes?

Accepted Answer

A)  6.3 cm 
B)  3.1 cm 
C)  1.3 cm 
D)  2.1 cm 
E)  4.2 cm 
A)  6.3 cm 
B)  3.1 cm 
C)  1.3 cm 
D)  2.1 cm 
E)  4.2 cm

Question 15

A double-slit interference experiment is performed in the air. Later, the same apparatus is immersed in benzene (index of refraction, n = 1.50), and the experiment is repeated. When the apparatus is in benzene, you observe the interference fringes to be

Accepted Answer

A)  more closely spaced as when the apparatus is in air. 
B)  equally spaced as when the apparatus is in air. 
C)  more widely spaced as when the apparatus is in air. 
D)  Impossible to tell without knowing the wavelength of light in use. 
E)  Impossible to tell without knowing the separation between the slits. 
A)  more closely spaced as when the apparatus is in air. 
B)  equally spaced as when the apparatus is in air. 
C)  more widely spaced as when the apparatus is in air. 
D)  Impossible to tell without knowing the wavelength of light in use. 
E)  Impossible to tell without knowing the separation between the slits.

Question 16

Consider two diffraction gratings; one has 4000 lines per cm and the other one has 6000 lines per cm. Make a statement comparing the dispersion of the two gratings.

Accepted Answer

A)  The 4000-line grating produces the greater dispersion. 
B)  The 6000-line grating produces the greater dispersion. 
C)  Both gratings produce the same dispersion, but the orders are sharper for the 4000-line grating. 
D)  Both gratings produce the same dispersion, but the orders are sharper for the 6000-line grating. 
A)  The 4000-line grating produces the greater dispersion. 
B)  The 6000-line grating produces the greater dispersion. 
C)  Both gratings produce the same dispersion, but the orders are sharper for the 4000-line grating. 
D)  Both gratings produce the same dispersion, but the orders are sharper for the 6000-line grating.

Question 17

In the two-slit experiment, the distance between the slits and the screen is 1.10 m and the distance between the slits is 0.100 mm. If the first-order bright fringe is measured to be 3.40 cm from the centerline, what is the wavelength of light?

Accepted Answer

A)  354 nm 
B)  241 nm 
C)  133 nm 
D)  3.10 μm 
E)  2.11 μm 
A)  354 nm 
B)  241 nm 
C)  133 nm 
D)  3.10 μm 
E)  2.11 μm

Question 18

A certain astronomical telescope has a diameter of 5.60 m. What is the minimum angle of resolution for this telescope at a wavelength of 620 nm?

Accepted Answer

A)  1.11 × 10-7 rad 
B)  3.11 × 10-7 rad 
C)  2.70 × 10-7 rad 
D)  1.35 × 10-7 rad 
E)  4.05 × 10-7 rad 
A)  1.11 × 10-7 rad 
B)  3.11 × 10-7 rad 
C)  2.70 × 10-7 rad 
D)  1.35 × 10-7 rad 
E)  4.05 × 10-7 rad

Question 19

Consider two diffraction gratings with the same slit separation, the only difference being that one grating has 3 slits and the other 4 slits. If both gratings are illuminated with a beam of the same monochromatic light, make a statement concerning the separation between the orders.

Accepted Answer

A)  The grating with 3 slits produces the greater separation between orders. 
B)  The grating with 4 slits produces the greater separation between orders. 
C)  Both gratings produce the same separation between orders. 
D)  Both gratings produce the same separation between orders, but the orders are better defined with the 4-slit grating. 
A)  The grating with 3 slits produces the greater separation between orders. 
B)  The grating with 4 slits produces the greater separation between orders. 
C)  Both gratings produce the same separation between orders. 
D)  Both gratings produce the same separation between orders, but the orders are better defined with the 4-slit grating.

Question 20

The interference pattern observed in Newton's rings experiment is because of the path difference between the top surface and the bottom surface of the air between the pieces of glass.

Accepted Answer

A) True 
 B)False

Exam 28: Physical Optics: Interference and Diffraction

In the two-slit experiment, for the condition of dark fringes, the value of m = +4 corresponds to a path difference of

Light of wavelength 610 nm is incident on a slit 0.20 mm wide and the diffraction pattern is produced on a screen that is 1.5 m from the slit. What is the width of the central maximum?

In the two-slit experiment, for the condition of bright fringes, the value of m = +2 corresponds to a path difference of λ.

The distance between the slits in the two-slit experiment is 1.50 × 10-5 m. A beam of light of wavelength 600 nm is used and the distance between the slit and the screen is 2.00 m. What is the distance on the screen between the central bright fringe and the 4th order bright fringe?

When red light illuminates a grating with 7000. lines per centimeter, its second maximum is at 62.4°. What is the wavelength of the light?

A 500 nm wavelength light illuminates a soap film with an index of refraction 1.33 to make it look bright. If the beam of light is incident normal on the film, what is the minimum thickness of the film?

The particle theory of light, as well as the wave theory of light, are both supported by the interference of light.

In a single-slit diffraction experiment, the width of the slit is 1.90 μm. If a beam of light of wavelength 610 nm forms a diffraction pattern, what is the angle associated with the second dark fringe above the central bright fringe?

In the two-slit experiment, the distance between the slits and the screen is 1.1 m and the distance between the slits is 0.040 mm. If the first-order bright fringe is measured to be 3.4 cm from the centerline, what is the distance between the adjacent bright fringes?

When light travels from a larger index of refraction towards a smaller index of refraction, there is no phase change upon reflection at the boundary.

In Young's two-slit experiment, the distance between the slits and the screen is 1.1 m and the distance between the slits is 0.040 mm. If the second order bright fringe is measured to be 4.2 cm from the centerline, what is the distance between the adjacent fringes?

A double-slit interference experiment is performed in the air. Later, the same apparatus is immersed in benzene (index of refraction, n = 1.50), and the experiment is repeated. When the apparatus is in benzene, you observe the interference fringes to be

Consider two diffraction gratings; one has 4000 lines per cm and the other one has 6000 lines per cm. Make a statement comparing the dispersion of the two gratings.

In the two-slit experiment, the distance between the slits and the screen is 1.10 m and the distance between the slits is 0.100 mm. If the first-order bright fringe is measured to be 3.40 cm from the centerline, what is the wavelength of light?

A certain astronomical telescope has a diameter of 5.60 m. What is the minimum angle of resolution for this telescope at a wavelength of 620 nm?

Consider two diffraction gratings with the same slit separation, the only difference being that one grating has 3 slits and the other 4 slits. If both gratings are illuminated with a beam of the same monochromatic light, make a statement concerning the separation between the orders.

The interference pattern observed in Newton's rings experiment is because of the path difference between the top surface and the bottom surface of the air between the pieces of glass.

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The distance between the slits in the two-slit experiment is 1.50 × 10^-5 m. A beam of light of wavelength 600 nm is used and the distance between the slit and the screen is 2.00 m. What is the distance on the screen between the central bright fringe and the 4th order bright fringe?