Question 1

Two planes of a crystal are separated by 3.25 Angstroms (or 3.25  ×	imes×  10-10 m) . How many maxima will there be in the diffraction pattern of 2.0 Angstrom X-rays from this crystal?

Accepted Answer

A)   4
B)   2
C)   3
D)   an infinite number
E)   1 F) A) and D)
G) B) and C)

Question 2

Two coherent waves reach the same point in phase.One wave has amplitude 8 units and the other has amplitude 6 units.The amplitude of the superposed wave is ______ units.

Accepted Answer

A)   6
B)   8
C)   10
D)   14
E)   2F) A) and B)
G) D) and E)

Question 3

In a single-slit experiment,light of wavelength 500 nm is used to produce a diffraction pattern on a screen 4.0 m away.If the distance between both 3rd order minima is 6.0 cm,what is the slit width?

Accepted Answer

A)   2.0  ×	imes×  10-4 m
B)   1.0  ×	imes×  10-4 m
C)   4.0  ×	imes×  10-4 m
D)   0.67  ×	imes×  10-4 m
E)   0.44  ×	imes×  10-4 m F) B) and E)
G) B) and D)

Question 4

Light from a HeNe laser (632.8 nm wavelength)  is directed upon a human hair,in an attempt to measure its diameter by examining the diffraction pattern.The hair is mounted in a frame 7.5 m from a wall and the central diffraction maximum is measured to be 14.6 cm wide.What is the diameter of the hair?

Accepted Answer

A)   65 microns
B)   32.5 microns
C)   43.3 microns
D)   86.6 micronsE) All of the above
F) C) and D)

Question 5

What minimum thickness of oil (n = 1.50)  on the surface of water (n = 1.33)  would give destructive interference for 550 nm light with normal incidence?

Accepted Answer

A)   275 nm
B)   183 nm
C)   92.0 nm
D)   80.0 nm
E)   78.0 nmF) All of the above
G) A) and E)

Question 6

X-rays of fixed wavelength yield a first-order maximum at a grazing angle of 12 ∘^{\circ}∘ .At what angle would one expect to find the corresponding 3rd order maximum?

Accepted Answer

A)   4.0 ∘^{\circ}∘ 
B)   12 ∘^{\circ}∘ 
C)   36 ∘^{\circ}∘ 
D)   39 ∘^{\circ}∘ 
E)   more information is needed F) A) and B)
G) A) and C)

Question 7

Two planes of a crystal are separated by 3.25 Angstroms (or 3.25  ×	imes×  10-10 m) . Light of what wavelength shows constructive interference at a scattering angle of 17.5 degrees?

Accepted Answer

A)   3.9 Angstroms
B)   0.49 Angstroms
C)   9.75 Angstroms
D)   1.46 Angstroms
E)   1.95 Angstroms F) C) and D)
G) B) and D)

Question 8

When light of wavelength 700 nm is used in a single-slit diffraction pattern,the central maximum has a width of 3.5 cm.When the light source is replaced by one of wavelength 500 nm,what central width will result?

Accepted Answer

A)   3.5 cm
B)   3.0 cm
C)   2.5 cm
D)   4.9 cm
E)   4.0 cmF) A) and C)
G) C) and E)

Question 9

A laser beam is shown through a grating and a first-order maximum is produced at an angle of 25 ∘^{\circ}∘ .At what angle is the second-order maximum produced?

Accepted Answer

A)   75 ∘^{\circ}∘ 
B)   58 ∘^{\circ}∘ 
C)   50 ∘^{\circ}∘ 
D)   35 ∘^{\circ}∘ 
E)   27 ∘^{\circ}∘F) A) and D)
G) All of the above

Question 10

When the slit width is doubled,what happens to the width of the central maximum in the diffraction pattern?

Accepted Answer

A)   nothing
B)   it doubles
C)   it halves
D)   it quadruples
E)   it quartersF) None of the above
G) A) and B)

Question 11

A thin film of soapy water, n = 1.37, is held vertical.Light of wavelength 600 nm is reflected from the film and horizontal dark lines appear.What is the thinnest soap film for which a bright band will occur?

Accepted Answer

A)   150 nm
B)   109 nm
C)   90.0 nm
D)   438 nm
E)   219 nmF) A) and B)
G) A) and D)

Question 12

For an angle of 10 degrees,what is the percent difference in sin  θ	hetaθ  and  θ	hetaθ in radians?

Accepted Answer

A)   0.1%
B)   0.3%
C)   0.5%
D)   0.7%
E)   more than 1% F) D) and E)
G) None of the above

Question 13

White light is shone on a very thin layer of mica (n = 1.57) .When the mica layer is observed from the illuminated side,interference maxima for wavelengths of blue (480 nm)  and yellow (560 nm) are observed.What is the thickness of the mica layer?

Accepted Answer

A)   1.58  μ\muμ m
B)   0.79  μ\muμ m
C)   3.16  μ\muμ m
D)   insufficient information is given. E) C) and D)
F) A) and B)

Question 14

The resolution of a microscope can be most improved by

Accepted Answer

A)   increasing the wavelength and diameter of the lens.
B)   decreasing the wavelength and the diameter of the lens.
C)   decreasing the wavelength and increasing the diameter of the lens.
D)   increasing the wavelength and decreasing the diameter of the lens.E) None of the above
F) A) and D)

Question 15

Coherent light of a single frequency passes through a double slit with a separation d,to produce a pattern on a screen as distance D from the slits.What would cause the separation between adjacent minima on the screen to increase?

Accepted Answer

A)   increase the index of refraction of the medium in which the setup is immersed
B)   increase the separation d between the slits
C)   increase the distance D
D)   increase the frequency of the incident lightE) None of the above
F) A) and C)

Question 16

In a double-slit experiment,when both interference and diffraction are taken into account,which is the lowest order maximum that is missing in the case where the slit separations is 0.020 mm and the slit widths are each 0.005 mm?

Accepted Answer

A)   1
B)   2
C)   3
D)   4
E)   no order is missingF) A) and D)
G) A) and B)

Question 17

Increasing the wavelengths in a double-slit experiment has what effect on the position of maxima on a screen at fixed distance?

Accepted Answer

A)   none
B)   maxima get closer together
C)   maxima get farther apart
D)   maxima get cancelled by minima
E)   maxima pass minima on the screenF) None of the above
G) A) and C)

Question 18

Holography was invented by

Accepted Answer

A)   Max von Laue.
B)   Sir David Brewster.
C)   Rosalind Franklin.
D)   Dennis Gabor.
E)   Bill Gates.F) A) and E)
G) C) and D)

Question 19

In a double-slit interference pattern,the third maximum from the central maximum corresponds to which value of m?

Accepted Answer

A)   1
B)   2
C)   3
D)   4
E)   5F) None of the above
G) C) and D)

Question 20

Wave 1 has amplitude of 9.0 units and wave 2 has amplitude 4.0 units.What is the ratio of their intensities,I1/I2?

Accepted Answer

A)   20
B)   5.1
C)   2.3
D)   1.5
E)   1.3F) B) and C)
G) A) and C)

Exam 25: Interference and Diffraction

Increasing the wavelengths in a double-slit experiment has what effect on the position of maxima on a screen at fixed distance?

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When light of wavelength 700 nm is used in a single-slit diffraction pattern,the central maximum has a width of 3.5 cm.When the light source is replaced by one of wavelength 500 nm,what central width will result?

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Wave 1 has amplitude of 9.0 units and wave 2 has amplitude 4.0 units.What is the ratio of their intensities,I1/I2?

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Correct AnswerverifiedShow Answer

In a double-slit interference pattern,the third maximum from the central maximum corresponds to which value of m?

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Two coherent waves reach the same point in phase.One wave has amplitude 8 units and the other has amplitude 6 units.The amplitude of the superposed wave is ______ units.

Correct AnswerverifiedShow Answer

Two planes of a crystal are separated by 3.25 Angstroms (or 3.25 ×\times× 10-10 m) . How many maxima will there be in the diffraction pattern of 2.0 Angstrom X-rays from this crystal?

Correct AnswerverifiedShow Answer

For an angle of 10 degrees,what is the percent difference in sin θ\thetaθ and θ\thetaθ in radians?

Correct AnswerverifiedShow Answer

When the slit width is doubled,what happens to the width of the central maximum in the diffraction pattern?

Correct AnswerverifiedShow Answer

The resolution of a microscope can be most improved by

Correct AnswerverifiedShow Answer

A laser beam is shown through a grating and a first-order maximum is produced at an angle of 25 ∘^{\circ}∘ .At what angle is the second-order maximum produced?

Correct AnswerverifiedShow Answer

What minimum thickness of oil (n = 1.50) on the surface of water (n = 1.33) would give destructive interference for 550 nm light with normal incidence?

Correct AnswerverifiedShow Answer

In a single-slit experiment,light of wavelength 500 nm is used to produce a diffraction pattern on a screen 4.0 m away.If the distance between both 3rd order minima is 6.0 cm,what is the slit width?

Correct AnswerverifiedShow Answer

White light is shone on a very thin layer of mica (n = 1.57) .When the mica layer is observed from the illuminated side,interference maxima for wavelengths of blue (480 nm) and yellow (560 nm) are observed.What is the thickness of the mica layer?

Correct AnswerverifiedShow Answer

Holography was invented by

Correct AnswerverifiedShow Answer

A thin film of soapy water, n = 1.37, is held vertical.Light of wavelength 600 nm is reflected from the film and horizontal dark lines appear.What is the thinnest soap film for which a bright band will occur?

Correct AnswerverifiedShow Answer

In a double-slit experiment,when both interference and diffraction are taken into account,which is the lowest order maximum that is missing in the case where the slit separations is 0.020 mm and the slit widths are each 0.005 mm?

Correct AnswerverifiedShow Answer

Two planes of a crystal are separated by 3.25 Angstroms (or 3.25 ×\times× 10-10 m) . Light of what wavelength shows constructive interference at a scattering angle of 17.5 degrees?

Correct AnswerverifiedShow Answer

Coherent light of a single frequency passes through a double slit with a separation d,to produce a pattern on a screen as distance D from the slits.What would cause the separation between adjacent minima on the screen to increase?

Correct AnswerverifiedShow Answer

X-rays of fixed wavelength yield a first-order maximum at a grazing angle of 12 ∘^{\circ}∘ .At what angle would one expect to find the corresponding 3rd order maximum?

Correct AnswerverifiedShow Answer

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Wave 1 has amplitude of 9.0 units and wave 2 has amplitude 4.0 units.What is the ratio of their intensities,I₁/I₂?

Correct Answer
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Correct Answer
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Two planes of a crystal are separated by 3.25 Angstroms (or 3.25 $\times$ 10^-10 m) . How many maxima will there be in the diffraction pattern of 2.0 Angstrom X-rays from this crystal?

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For an angle of 10 degrees,what is the percent difference in sin $\theta$ and $\theta$ in radians?

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A laser beam is shown through a grating and a first-order maximum is produced at an angle of 25 $^{\circ}$ .At what angle is the second-order maximum produced?

Correct Answer
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Correct Answer
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In a single-slit experiment,light of wavelength 500 nm is used to produce a diffraction pattern on a screen 4.0 m away.If the distance between both 3^rd order minima is 6.0 cm,what is the slit width?

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Two planes of a crystal are separated by 3.25 Angstroms (or 3.25 $\times$ 10^-10 m) . Light of what wavelength shows constructive interference at a scattering angle of 17.5 degrees?

Correct Answer
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Correct Answer
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X-rays of fixed wavelength yield a first-order maximum at a grazing angle of 12 $^{\circ}$ .At what angle would one expect to find the corresponding 3^rd order maximum?

Correct Answer
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