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 180S1U1P1$\circ$S1S1P0 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.

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. 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.

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?

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

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.

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

Exam 34: Wave Optics

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?

(Multiple Choice)

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Question 21

White light is shined on a sheet of mica that has a uniform thickness of 1.3 $\mu$ 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?

(Multiple Choice)

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Question 22

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.

(Multiple Choice)

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Question 23

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.

(Multiple Choice)

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Question 24

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? $Light in air with index of refraction n1 = 1.00059 is incident perpendicularly on a coated lens as shown.The coating of the lens has an index of refraction of n2 = 1.30.The lens has an index of refraction n3 = 1.60.What is the minimum thickness (in nm)of the coating needed to prevent reflection of light with a wavelength of 500 nm?$

(Multiple Choice)

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Question 25

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.

(Multiple Choice)

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Question 26

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

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Question 27

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?

(Multiple Choice)

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Question 28

Coherent monochromatic light with wavelength $\lambda$ = 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?

(Multiple Choice)

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Question 29

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

(Multiple Choice)

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Question 30

Which of the following statements is false?

(Multiple Choice)

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Question 31

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?

(Multiple Choice)

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Question 32

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

(Multiple Choice)

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Question 33

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

(Multiple Choice)

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Question 34

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?

(Multiple Choice)

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Question 35

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, $\lambda$ _a = 629.8 nm and $\lambda$ _b = 630.2 nm.What fraction of the grating width needs to be illuminated in order to resolve these two lines in first order?

(Multiple Choice)

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Question 36

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 $\Delta$ 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?

(Multiple Choice)

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Question 37

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?

(Multiple Choice)

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Question 38

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?

(Multiple Choice)

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Question 39

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?

(Multiple Choice)

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Question 40

Showing 21 - 40 of 76

Exam 34: Wave Optics

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?

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.

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.

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)?

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?

Which of the following statements is false?

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?

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

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

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?

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?

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?

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Filters

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?

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.

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

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?