Question 1

Coherent monochromatic light with wavelength  λ\lambdaλ  = 633 nm is incident on two slits that are separated by a distance d = 0.050 mm.The intensity of the radiation at the central maximum on a screen 3.45 m away from each slit is 100 W/cm2.At what distance from the central intensity maximum does the intensity drop to a quarter of the peak intensity value?

Accepted Answer

A)  1.8 cm
B)  1.0 cm
C)  1.5 cm
D)  2.0 cm
E)  0.50 cm

Question 2

A soap film made with material of index of refraction n = 1.9 is illuminated by white light.If the reflected light is maximum at  λ\lambdaλ  = 350 nm,what is the minimum thickness the film could have had?

Accepted Answer

A)  175 nm
B)  200 nm
C)  350 nm
D)  46 nm
E)  420 nm

Question 3

X-rays with a wavelength of 1.0 nm are scattered from two small tumors in the human body.If the two tumors are a distance of 5.0 cm away from the x-ray detector,and the detector has an entrance aperture of 0.5 mm,what is the minimum separation between the two tumors that will allow the x-ray detector to determine that there are two tumors instead of one?

Accepted Answer

A)  1.0 nm
B)  2.0 nm
C)  61 nm
D)  120 nm
E)  240 nm

Question 4

An airplane is made invisible to radar by coating it with a 7.0 mm thick layer of an antireflective polymer.If the maximum wavelength of radar waves for which the plane is made invisible is 4.0 cm,what is the index of refraction of the polymer?

Accepted Answer

A)  1.43
B)  1.62
C)  1.38
D)  1.50
E)  1.55

Question 5

A diffraction grating has 5000 lines/cm with white light (400-650nm) .What wavelength(s) will experience constructive interference at 45 ∘\circ∘ ?

Accepted Answer

A)  442 nm
B)  471 nm
C)  505 nm
D)  589 nm
E)  None of these will be visible.

Question 6

Which of these statements are true? (i) When two waves with the same frequency and amplitude overlap,the result is a wave with the same frequency and twice the amplitude.
(ii.If the two waves with the same frequency and amplitude are 180 ∘\circ∘  out of phase,the amplitude of the resulting wave is zero.
(iii) If two waves have the same frequency and amplitude but one is positive and the other is negative,the resulting wave is a standing wave with the same frequency and amplitude.
(iv.Interference maximum occurs when waves cancel each other out.

Accepted Answer

A)  (i) and (iv) are true.
B)  (ii) and (iii) are true.
C)  (i) and (ii) are true.
D)  All are true.
E)  None are true.

Question 7

Monochromatic blue light ( λ\lambdaλ  = 470 nm) is beamed into a Michelson interferometer.How many fringes move by the screen when the movable mirror is moved a distance d = 0.125 mm?

Accepted Answer

A)  2708
B)  266
C)  1354
D)  677
E)  532

Question 8

Light from a laser strikes a diffraction grating that has 6500 grooves per centimeter.The central and first order principal maxima are separated by 0.325 m on a wall 1.00 m from the grating.Determine the wavelength of the laser light.

Accepted Answer

A)  449 nm
B)  476 nm
C)  454 nm
D)  465 nm
E)  488 nm

Question 9

An airplane is made invisible to radar by coating it with a layer of an antireflective polymer having an index of refraction of 1.50.What is the thickness of the polymer if the maximum wavelength of radar waves for which the plane is made invisible is 4.0 cm?

Accepted Answer

A)  7.9 mm
B)  7.0 mm
C)  6.7 mm
D)  6.1 mm
E)  7.4 mm

Question 10

Light in air with index of refraction n1 = 1.00059 is incident perpendicularly on a coated lens as shown.The coating of the lens has an index of refraction of n2 = 1.30.The lens has an index of refraction n3 = 1.60.What is the minimum thickness (in nm) of the coating needed to prevent reflection of light with a wavelength of 500 nm? 1 = 1.00059 is incident perpendicularly on a coated lens as shown.The coating of the lens has an index of refraction of n2 = 1.30.The lens has an index of refraction n3 = 1.60.What is the minimum thickness (in nm) of the coating needed to prevent reflection of light with a wavelength of 500 nm?   A) 96.2 B) 120.2 C) 150.2 D) 187.8 E) 234.8 " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)  96.2
B)  120.2
C)  150.2
D)  187.8
E)  234.8

Question 11

What is the wavelength in nm of a 1.00 * 1016 Hz wave traveling in a material with index of refraction 1.05? cvacuum = 3.00 * 108 m/s.

Accepted Answer

A)  3.50 * 106
B)  2.85 * 10-6
C)  457.
D)  0.00234
E)  28.6

Question 12

The diffraction pattern shown was made on a screen 6 meters from a grating.The wavelength of the light was 500 nm.What must have been the separation of the slits in the grating (in mm) ?

Accepted Answer

A)  0.05
B)  3.00
C)  0.10
D)  0.30
E)  More information is needed.

Question 13

A wedge of air between two glass plates is illuminated with 500 nm light.How much thicker (in nm) is the wedge at the 16th dark fringe than it is at the 6th?

Accepted Answer

A)  10,000
B)  100
C)  25
D)  5000
E)  2500

Question 14

In Young's double-slit experiment a laser beam is aimed at an opaque screen containing two long narrow slits that are very close together.The interference pattern in the form of equally spaced dark and bright lines,called interference fringes,is observed on a viewing screen.When the viewing screen is moved closer to the double slit,the interference fringes

Accepted Answer

A)  get brighter.
B)  get brighter and also get closer.
C)  get brighter and also get farther apart.
D)  get out of focus.
E)  disappear.

Question 15

Which of the changes would double the separation of the maxima on the screen?

Accepted Answer

A)  double f,the frequency of the light
B)  reduce D to D/2
C)  double d,the slit separation
D)  reduce d,the slit separation to d/2
E)  reduce a,the slit opening,to a/2

Question 16

Light from a HeNe laser (632.8 nm) is incident upon an interferometer in which the two paths for light to travel differ by an amount  Δ\DeltaΔ L.Destructive interference is observed in the initial setup.Then,one of the paths is then shortened,and as this occurs,the interference goes from destructive slowly to constructive to destructive,and finally to constructive again.By what amount was the path length shortened?

Accepted Answer

A)  950 nm
B)  1900 nm
C)  1270 nm
D)  320 nm

Question 17

A 4.00-cm wide diffraction grating with 650 grooves per cm is used to resolve two closely spaced lines (a doublet) in a spectrum.The doublet consists of two wavelengths, λ\lambdaλ a = 629.8 nm and  λ\lambdaλ b = 630.2 nm.What fraction of the grating width needs to be illuminated in order to resolve these two lines in first order?

Accepted Answer

A)  31%
B)  41%
C)  51%
D)  61%
E)  71%

Question 18

White light is shined on a sheet of mica that has a uniform thickness of 1.3  μ\muμ m.When the reflected light is viewed using a spectrometer,it is noted that light with wavelengths of 432 nm,483 nm,548 nm,632 nm,and 747 nm are not present in the reflected light.What is the index of refraction of the mica?

Accepted Answer

A)  1.2
B)  1.4
C)  1.5
D)  1.6
E)  1.8

Question 19

A glass with a refractive index of 1.5 is inserted into one arm of a Michelson interferometer that uses a 600-nm light source.This causes the fringe pattern to shift by 1000 fringes.How thick is the glass?

Accepted Answer

A)  1.5 mm
B)  0.2 mm
C)  0.6 mm
D)  0.9 mm
E)  1.2 mm

Question 20

Which of the following statements is false?

Accepted Answer

A)  As the distance between two narrow slits is made smaller,the interference pattern produced by them on a screen gets wider.
B)  As the width of a single slit is narrowed,the diffraction pattern on a screen gets wider.
C)  As the wavelength of light hitting a single slit is reduced,the diffraction pattern on a screen gets wider.
D)  When a diffraction grating is illuminated by white light,the first order maximum for green light is farther from the central maximum than first order maximum for blue light.
E)  If two polarizers have their axes 90 ∘\circ∘  apart,introducing a third polarizer between the two can allow light to be transmitted through all three.

Exam 34: Wave Optics

A glass with a refractive index of 1.5 is inserted into one arm of a Michelson interferometer that uses a 600-nm light source.This causes the fringe pattern to shift by 1000 fringes.How thick is the glass?

Correct Answer
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An airplane is made invisible to radar by coating it with a 7.0 mm thick layer of an antireflective polymer.If the maximum wavelength of radar waves for which the plane is made invisible is 4.0 cm,what is the index of refraction of the polymer?

Correct Answer
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Correct Answer
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Correct Answer
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Which of the following statements is false?

Correct Answer
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Light from a laser strikes a diffraction grating that has 6500 grooves per centimeter.The central and first order principal maxima are separated by 0.325 m on a wall 1.00 m from the grating.Determine the wavelength of the laser light.

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Monochromatic blue light ( $\lambda$ = 470 nm) is beamed into a Michelson interferometer.How many fringes move by the screen when the movable mirror is moved a distance d = 0.125 mm?

Correct Answer
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A diffraction grating has 5000 lines/cm with white light (400-650nm) .What wavelength(s) will experience constructive interference at 45^$\circ$?

Correct Answer
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A wedge of air between two glass plates is illuminated with 500 nm light.How much thicker (in nm) is the wedge at the 16th dark fringe than it is at the 6th?

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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What is the wavelength in nm of a 1.00 * 10¹⁶ Hz wave traveling in a material with index of refraction 1.05? c_vacuum = 3.00 * 10⁸ m/s.

Correct Answer
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Correct Answer
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An airplane is made invisible to radar by coating it with a layer of an antireflective polymer having an index of refraction of 1.50.What is the thickness of the polymer if the maximum wavelength of radar waves for which the plane is made invisible is 4.0 cm?

Correct Answer
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Which of the changes would double the separation of the maxima on the screen?

Correct Answer
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A soap film made with material of index of refraction n = 1.9 is illuminated by white light.If the reflected light is maximum at $\lambda$ = 350 nm,what is the minimum thickness the film could have had?

Correct Answer
verified

Exam 34: Wave Optics

A glass with a refractive index of 1.5 is inserted into one arm of a Michelson interferometer that uses a 600-nm light source.This causes the fringe pattern to shift by 1000 fringes.How thick is the glass?

Correct AnswerverifiedShow Answer

An airplane is made invisible to radar by coating it with a 7.0 mm thick layer of an antireflective polymer.If the maximum wavelength of radar waves for which the plane is made invisible is 4.0 cm,what is the index of refraction of the polymer?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Which of the following statements is false?

Correct AnswerverifiedShow Answer

Light from a laser strikes a diffraction grating that has 6500 grooves per centimeter.The central and first order principal maxima are separated by 0.325 m on a wall 1.00 m from the grating.Determine the wavelength of the laser light.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Monochromatic blue light ( λ\lambdaλ = 470 nm) is beamed into a Michelson interferometer.How many fringes move by the screen when the movable mirror is moved a distance d = 0.125 mm?

Correct AnswerverifiedShow Answer

A diffraction grating has 5000 lines/cm with white light (400-650nm) .What wavelength(s) will experience constructive interference at 45 ∘\circ∘ ?

Correct AnswerverifiedShow Answer

A wedge of air between two glass plates is illuminated with 500 nm light.How much thicker (in nm) is the wedge at the 16th dark fringe than it is at the 6th?

Correct AnswerverifiedShow Answer

The diffraction pattern shown was made on a screen 6 meters from a grating.The wavelength of the light was 500 nm.What must have been the separation of the slits in the grating (in mm) ?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

What is the wavelength in nm of a 1.00 * 1016 Hz wave traveling in a material with index of refraction 1.05? cvacuum = 3.00 * 108 m/s.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

An airplane is made invisible to radar by coating it with a layer of an antireflective polymer having an index of refraction of 1.50.What is the thickness of the polymer if the maximum wavelength of radar waves for which the plane is made invisible is 4.0 cm?

Correct AnswerverifiedShow Answer

Which of the changes would double the separation of the maxima on the screen?

Correct AnswerverifiedShow Answer

A soap film made with material of index of refraction n = 1.9 is illuminated by white light.If the reflected light is maximum at λ\lambdaλ = 350 nm,what is the minimum thickness the film could have had?

Correct AnswerverifiedShow Answer

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Monochromatic blue light ( $\lambda$ = 470 nm) is beamed into a Michelson interferometer.How many fringes move by the screen when the movable mirror is moved a distance d = 0.125 mm?

Correct Answer
verified

A diffraction grating has 5000 lines/cm with white light (400-650nm) .What wavelength(s) will experience constructive interference at 45^$\circ$?

Correct Answer
verified

Correct Answer
verified

Correct Answer
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Correct Answer
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Correct Answer
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What is the wavelength in nm of a 1.00 * 10¹⁶ Hz wave traveling in a material with index of refraction 1.05? c_vacuum = 3.00 * 10⁸ m/s.

Correct Answer
verified

Correct Answer
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Correct Answer
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Correct Answer
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A soap film made with material of index of refraction n = 1.9 is illuminated by white light.If the reflected light is maximum at $\lambda$ = 350 nm,what is the minimum thickness the film could have had?

Correct Answer
verified