Question 1

In a diffraction grating 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

A)   479 nm
B)   497 nm
C)   567 nm
D)   749 nm
E)   794 nmF) A) and D)
G) All of the above

Question 2

Two sources of light illuminate a double slit simultaneously. One has wavelength 570 nm and the second has an unknown wavelength. The  bright fringe of the unknown wavelength overlaps the  bright fringe of the light of 570 nm wavelength. What is the unknown wavelength?

Accepted Answer

A)   456 nm
B)   326 nm
C)   380 nm
D)   713 nmE) A) and C)
F) A) and B)

Question 3

A laser beam passes through a thin slit. When the pattern is viewed on a screen 1.25 m past the slit, you observe that the fifth-order dark fringes occur at ±2.41 cm from the central bright fringe. The entire experiment is now performed within a liquid, and you observe that each of the fifth-order dark fringes is 0.790 cm closer to the central fringe than it was in air. What is the index of refraction of this liquid?

Accepted Answer

A)   1.33
B)   1.40
C)   1.49
D)   1.62
E)   3.05F) A) and E)
G) All of the above

Question 4

A pair of narrow slits, separated by 1.8 mm, is illuminated by a monochromatic light source. Light waves arrive at the two slits in phase, and a fringe pattern is observed on a screen 4.8 m from the slits. If there are 5.0 complete bright fringes per centimeter on the screen near the center of the pattern, what is the wavelength of the monochromatic light?

Accepted Answer

A)   550 nm
B)   600 nm
C)   650 nm
D)   700 nm
E)   750 nmF) C) and E)
G) C) and D)

Question 5

Monochromatic laser light of frequency 5.20 × 1014 Hz is shown on a pair of thin parallel slits, and the pattern is viewed on a screen 1.20 m away. The fifth bright fringes (not counting the central fringe) occur at ±2.12 cm on either side of the central bright fringe. The entire apparatus is now immersed in a transparent liquid. When the experiment is repeated, the fifth bright fringes now occur at ±1.43 cm from the central bright fringe. (c = 3.00 × 108 m/s)
(a) How far apart are the slits?
(b) What is the index of refraction of the liquid?

Accepted Answer

(a) 0.163 ...

Question 6

A slit of width 0.010 mm has light of frequency 5.0 × 1014 Hz passing through it onto a screen 60 cm away. How wide is the central maximum? (c = 3.00 × 108 m/s)

Accepted Answer

A)   0.12 cm
B)   7.2 cm
C)   1.8 cm
D)   3.6 cm
E)   0.90 cmF) A) and D)
G) B) and C)

Question 7

A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled?

Accepted Answer

A)   It will be cut to one-quarter its original size.
B)   It will be cut in half.
C)   It will double.
D)   It will become four times as large.
E)   It will become eight times as large.F) B) and D)
G) A) and E)

Question 8

In a double slit experiment, the slit separation is constructed to be exactly 4 times the wavelength of the light passing through the slits. At what angles from the center of the pattern will the third bright fringes on both sides of the central fringe occur?

Accepted Answer

A)   ±48.6°
B)   ±75.0°
C)   ±67.5°
D)   ±36.9°
E)   ±43.0°F) A) and C)
G) None of the above A

Question 9

A thin beam of laser light of wavelength 514 nm passes through a diffraction grating having 3952 lines/cm. The resulting pattern is viewed on a distant curved screen that can show all bright fringes up to and including ±90.0° from the central spot. If the experiment were performed with all of the apparatus under water (which has an index of refraction of 1.33) , what would be the TOTAL number of bright spots that would show up on the screen?

Accepted Answer

A)   6
B)   7
C)   12
D)   13
E)   14F) A) and D)
G) B) and C)

Question 10

A diffraction grating has 450 lines per mm. What is the highest order m that contains the entire visible spectrum from 400 nm to 700 nm?

Accepted Answer

A)   m = 2
B)   m = 3
C)   m = 4
D)   m = 5
E)   m = 6F) B) and E)
G) C) and D) B

Question 11

Coherent monochromatic light of wavelength 632.8 nm passes through a pair of thin parallel slits. The figure shows the central portion of the pattern of bright fringes viewed on a screen 1.40 m beyond the slits. What is the distance between the two slits?

Accepted Answer

A)   0.0703 mm
B)   0.141 mm
C)   0.281 mm
D)   0.562 mm
E)   0.633 mmF) D) and E)
G) C) and D) C

Question 12

Light of wavelength 575 nm passes through a double-slit and the third order bright fringe is seen at an angle of 6.5° away from the central fringe. What is the separation between the double slits?

Accepted Answer

A)   5.0 µm
B)   10 µm
C)   15 µm
D)   20 µm
E)   25 µmF) A) and C)
G) B) and E)

Question 13

A He-Ne laser, which produces light of wavelength 632.8 nm, is used to calibrate a diffraction grating. If the first-order maximum occurs at 20.5° from the central spot, what is the distance between the slits of the grating?

Accepted Answer

A)   0.905 µm
B)   1.81 µm
C)   2.20 µm
D)   3.62 µm
E)   4.52 µmF) A) and C)
G) None of the above

Question 14

Light of wavelength 525 nm passes through two slits separated by 0.500 mm and produces an interference pattern on a screen 7.80 m away. The intensity at the central maximum is I0. What is the distance on the screen from the center of this central maximum to the point where the intensity due to double-slit interference has fallen to 1/2 I0?

Accepted Answer

Question 15

Light of wavelength 687 nm is incident on a single slit 0.75 mm wide. At what distance from the slit should a screen be placed if the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?

Accepted Answer

A)   0.39 m
B)   0.47 m
C)   0.93 m
D)   1.1 m
E)   1.9 mF) B) and D)
G) B) and C)

Question 16

Light from a monochromatic source shines through a double slit onto a screen 5.00 m away. The slits are 0.180 mm apart. The dark bands on the screen are measured to be 1.70 cm apart. What is the wavelength of the incident light?

Accepted Answer

A)   457 nm
B)   306 nm
C)   392 nm
D)   612 nm
E)   784 nmF) A) and E)
G) C) and D)

Question 17

In the figure, a slit 0.30 mm wide is illuminated by light of wavelength 426 nm. A diffraction pattern is seen on a screen 2.8 m from the slit. What is the linear distance on the screen between the first diffraction minima on either side of the central diffraction maximum?

Accepted Answer

The answer of In the figure, a slit 0.30 mm...

Question 18

In a double-slit experiment, the slit separation is 2.0 mm, and two wavelengths, 750 nm and 900 nm, illuminate the slits simultaneously. A screen is placed 2.0 m from the slits. At what distance from the central maximum on the screen will a bright fringe from one pattern first coincide with a bright fringe from the other?

Accepted Answer

A)   1.5 mm
B)   3.0 mm
C)   4.5 mm
D)   6.0 mm
E)   9.0 mmF) A) and B)
G) All of the above

Question 19

In a double slit experiment, if the separation between the two slits is 0.050 mm and the distance from the slits to a screen is 2.5 m, find the spacing between the first-order and second-order bright fringes when coherent light of wavelength 600 nm illuminates the slits.

Accepted Answer

A)   1.5 cm
B)   3.0 cm
C)   4.5 cm
D)   6.0 cm
E)   9.0 cmF) B) and E)
G) A) and D)

Question 20

In a two-slit experiment, the slit separation is 3.00 ×  m. The interference pattern is recorded on a flat screen-like detector that is 2.00 m away from the slits. If the seventh bright fringe on the detector is 10.0 cm away from the central fringe, what is the wavelength of the light passing through the slits?

Accepted Answer

A)   100 nm
B)   204 nm
C)   214 nm
D)   224 nm
E)   234 nmF) B) and E)
G) None of the above

Exam 33: Wave Optics

Correct Answer
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Two sources of light illuminate a double slit simultaneously. One has wavelength 570 nm and the second has an unknown wavelength. The bright fringe of the unknown wavelength overlaps the bright fringe of the light of 570 nm wavelength. What is the unknown wavelength?

Correct Answer
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Correct Answer
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(a) 0.163 ...
View Answer

A slit of width 0.010 mm has light of frequency 5.0 × 10¹⁴ Hz passing through it onto a screen 60 cm away. How wide is the central maximum? (c = 3.00 × 10⁸ m/s)

Correct Answer
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A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled?

Correct Answer
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In a double slit experiment, the slit separation is constructed to be exactly 4 times the wavelength of the light passing through the slits. At what angles from the center of the pattern will the third bright fringes on both sides of the central fringe occur?

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A

Correct Answer
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A diffraction grating has 450 lines per mm. What is the highest order m that contains the entire visible spectrum from 400 nm to 700 nm?

Correct Answer
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B

Coherent monochromatic light of wavelength 632.8 nm passes through a pair of thin parallel slits. The figure shows the central portion of the pattern of bright fringes viewed on a screen 1.40 m beyond the slits. What is the distance between the two slits?

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C

Light of wavelength 575 nm passes through a double-slit and the third order bright fringe is seen at an angle of 6.5° away from the central fringe. What is the separation between the double slits?

Correct Answer
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A He-Ne laser, which produces light of wavelength 632.8 nm, is used to calibrate a diffraction grating. If the first-order maximum occurs at 20.5° from the central spot, what is the distance between the slits of the grating?

Correct Answer
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Correct Answer
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Light of wavelength 687 nm is incident on a single slit 0.75 mm wide. At what distance from the slit should a screen be placed if the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?

Correct Answer
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Light from a monochromatic source shines through a double slit onto a screen 5.00 m away. The slits are 0.180 mm apart. The dark bands on the screen are measured to be 1.70 cm apart. What is the wavelength of the incident light?

Correct Answer
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Correct Answer
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Correct Answer
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In a double slit experiment, if the separation between the two slits is 0.050 mm and the distance from the slits to a screen is 2.5 m, find the spacing between the first-order and second-order bright fringes when coherent light of wavelength 600 nm illuminates the slits.

Correct Answer
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Correct Answer
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Exam 33: Wave Optics

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Two sources of light illuminate a double slit simultaneously. One has wavelength 570 nm and the second has an unknown wavelength. The bright fringe of the unknown wavelength overlaps the bright fringe of the light of 570 nm wavelength. What is the unknown wavelength?

Correct AnswerverifiedShow Answer

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Correct Answerverified(a) 0.163 ...View AnswerShow Answer

A slit of width 0.010 mm has light of frequency 5.0 × 1014 Hz passing through it onto a screen 60 cm away. How wide is the central maximum? (c = 3.00 × 108 m/s)

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A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled?

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In a double slit experiment, the slit separation is constructed to be exactly 4 times the wavelength of the light passing through the slits. At what angles from the center of the pattern will the third bright fringes on both sides of the central fringe occur?

Correct AnswerverifiedA

Correct AnswerverifiedShow Answer

A diffraction grating has 450 lines per mm. What is the highest order m that contains the entire visible spectrum from 400 nm to 700 nm?

Correct AnswerverifiedB

Coherent monochromatic light of wavelength 632.8 nm passes through a pair of thin parallel slits. The figure shows the central portion of the pattern of bright fringes viewed on a screen 1.40 m beyond the slits. What is the distance between the two slits?

Correct AnswerverifiedC

Light of wavelength 575 nm passes through a double-slit and the third order bright fringe is seen at an angle of 6.5° away from the central fringe. What is the separation between the double slits?

Correct AnswerverifiedShow Answer

A He-Ne laser, which produces light of wavelength 632.8 nm, is used to calibrate a diffraction grating. If the first-order maximum occurs at 20.5° from the central spot, what is the distance between the slits of the grating?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Light of wavelength 687 nm is incident on a single slit 0.75 mm wide. At what distance from the slit should a screen be placed if the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?

Correct AnswerverifiedShow Answer

Light from a monochromatic source shines through a double slit onto a screen 5.00 m away. The slits are 0.180 mm apart. The dark bands on the screen are measured to be 1.70 cm apart. What is the wavelength of the incident light?

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In the figure, a slit 0.30 mm wide is illuminated by light of wavelength 426 nm. A diffraction pattern is seen on a screen 2.8 m from the slit. What is the linear distance on the screen between the first diffraction minima on either side of the central diffraction maximum?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

In a double slit experiment, if the separation between the two slits is 0.050 mm and the distance from the slits to a screen is 2.5 m, find the spacing between the first-order and second-order bright fringes when coherent light of wavelength 600 nm illuminates the slits.

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Correct AnswerverifiedShow Answer

Correct Answer
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Correct Answer
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Correct Answer
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(a) 0.163 ...
View Answer

A slit of width 0.010 mm has light of frequency 5.0 × 10¹⁴ Hz passing through it onto a screen 60 cm away. How wide is the central maximum? (c = 3.00 × 10⁸ m/s)

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A

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B

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C

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