Question 1

A ruby laser beam (λ = 694.3 nm) is sent outwards from a 2.7-m diameter telescope to the moon,384,000 km away.What is the radius of the big red spot on the moon?

Accepted Answer

A)  500 m
B)  250 m
C)  120 m
D)  1.0 km
E)  2.7 kmF) C) and E)
G) B) and E)

Question 2

Plane waves of ultrasound,f = 51.0 kHz,impinge on a flat plane with a 1.00 cm-wide slit.What is the total angular width (2θ) of diffracted sound waves when the speed of sound in air is 340 m/sec.

Accepted Answer

A)  167°
B)  83.6°
C)  19.5°
D)  41.8°
E)  0.11°F) D) and E)
G) A) and E)

Question 3

Scattered light in the atmosphere is often partially polarized.The best way to determine whether or not light from a particular direction in the sky shows polarization is to

Accepted Answer

A)  diffract the light through a single slit.
B)  squint while looking in that direction.
C)  rotate a piece of polaroid film about an axis parallel to the ray while looking through it in that sky direction.
D)  rotate a piece of polaroid film about an axis perpendicular to the ray while looking through it in that sky direction.
E)  reflect the rays from that direction on a shiny metal surface.F) B) and D)
G) C) and D)

Question 4

The large space telescope that has been placed into an Earth orbit has an aperture diameter of 2.40 meters.What angular resolution will this telescope achieve for visible light of wavelength λ = 4.80 × 10−7 m?

Accepted Answer

A)  2.44 × 10−7 rads
B)  2.44 × 10−4 rads
C)  2.44 × 10−3 rads
D)  1.22 × 10−6 rads
E)  2.00 × 10−6 radsF) D) and E)
G) None of the above

Question 5

The pupil of a cat's eye narrows to a slit width of 0.5 mm in daylight.What is the angular resolution of the cat's eye in daylight (λ = 500 nm) ?

Accepted Answer

A)  0.01 rads
B)  10−5 rads
C)  10−3 rads
D)  10−4 rads
E)  0.1 radsF) C) and E)
G) A) and B)

Question 6

A helium-neon laser (λ = 632.8 nm) is used to calibrate a diffraction grating.If the first-order maximum occurs at 20.5°,what is the line spacing,d?

Accepted Answer

A)  1.81 × 10−6 m
B)  1.00 × 10−5 m
C)  1.00 × 10−4 m
D)  1.31 × 10−6 m
E)  6.76 × 10−7 mF) B) and D)
G) A) and C)

Question 7

How wide must a narrow slit be if the first diffraction minimum occurs at ±12° with laser light of 633 nm?

Accepted Answer

A)  3.0 × 10−6 m
B)  3.0 × 10−5 m
C)  6.1 × 10−6 m
D)  6 .1× 10−5 m
E)  1.5 × 10−6 mF) B) and E)
G) C) and D)

Question 8

Potassium Iodide (chemical formula: KI) has a face-centered cubic structure (just like sodium chloride) .If the distance between crystal planes is d = 0.353 nm and X-rays of wavelength λ = 0.0934 nm are used,what is the smallest angle θ at which a diffraction maximum may be obtained?

Accepted Answer

A)  9.92°
B)  7.60°
C)  13.3°
D)  15.5°
E)  6.52°F) A) and B)
G) None of the above

Question 9

At what distance could one theoretically distinguish two automobile headlights separated by 1.5 meters? Assume a pupil diameter of 0.50 cm and yellow headlights seen at the wavelength 5.0 × 10−7 m.Assume eye fluid has an average n = 1.33.

Accepted Answer

A)  6.0 km
B)  12 km
C)  9.0 km
D)  3.0 km
E)  16 kmF) C) and D)
G) B) and C)

Question 10

Unpolarized light is passed through three successive Polaroid filters,each with its transmission axis at 45.0° to the preceding filter.What percentage of light gets through?

Accepted Answer

A)  0%
B)  12.5%
C)  25.0%
D)  50.0%
E)  33.3%F) B) and D)
G) None of the above

Question 11

The centers of two slits of width a are a distance d apart.If the fourth minimum of the interference pattern occurs at the location of the first minimum of the diffraction pattern for light of wavelength λ,the ratio a/d is equal to

Accepted Answer

A)  0.
B)    .
C)    .
D)    .
E)    .F) B) and D)
G) A) and B)

Question 12

Each pattern shown below would appear on a screen when monochromatic light first passes through a narrow slit of width a and then strikes a screen.The darkest areas on the page represent the brightest areas on the screen.In which case is the slit illuminated with light of the shortest wavelength?

Accepted Answer

A)   
B)   
C)   
D)   
E)   F) None of the above
G) B) and E)

Question 13

A narrow slit is illuminated with sodium yellow light of wavelength 589 nm.If the central maximum extends to ±30.0°,how wide is the slit?

Accepted Answer

A)  0.500 mm
B)  2.20 × 10−6 m
C)  3.33 × 10−5 m
D)  1.18 μm
E)  5.89 μmF) B) and E)
G) B) and D)

Question 14

Light strikes a flat water surface (n = 1.333)at the Brewster angle.Calculate the angle between the reflected and the refracted ray.

Accepted Answer

The answer of Light strikes a flat water surface (n...

Question 15

A beam of X-rays of different frequencies is reflected at 10 degrees off a crystal of interatomic spacing 0.2 nm.Which X-ray wavelength is preferentially reflected?

Accepted Answer

A)  0.0943 nm
B)  0.139 nm
C)  0.0695 nm
D)  1.02 × 10−10 m
E)  3.47 × 10−11 mF) C) and D)
G) A) and E)

Question 16

A single slit of width a is illuminated by light of wavelength λ.If a = 4.3λ,the maximum number of dark fringes on a semi-circular screen surrounding the slit is

Accepted Answer

A)  2.
B)  4.
C)  6.
D)  8.
E)  9.F) A) and C)
G) A) and D)

Question 17

A slit of variable width illuminated by light of wavelength λ is widened until the first order diffraction minimum moves out to a distance infinitely far away from the brightest location in the central maximum.In terms of the wavelength,the width of the slit is then

Accepted Answer

A)  0.
B)    .
C)  λ.
D)    .
E)  2λ.F) A) and C)
G) A) and E)

Question 18

In an X-ray diffraction experiment using X-rays of λ = 0.500 × 10−10 m,a first-order maximum occurred at 5.00°.Find the crystal plane spacing.

Accepted Answer

A)  2.87 × 10−10 m
B)  1.36 × 10−10 m
C)  6.24 × 10−9 m
D)  1.93 × 10−9 m
E)  5.74 × 10−9 mF) D) and E)
G) C) and D)

Question 19

Sunlight reflected from a smooth ice surface is completely polarized.Determine the angle of incidence.(nice = 1.31. )

Accepted Answer

A)  52.6°
B)  25.6°
C)  65.2°
D)  56.2°
E)  49.8°F) A) and E)
G) A) and D)

Question 20

The hydrogen spectrum has a red line at 656 nm,and a blue line at 434 nm.What is the first order angular separation between the two spectral lines obtained with a diffraction grating with 5000 rulings/cm?

Accepted Answer

A)  7.7°
B)  16.6°
C)  6.6°
D)  3.2°
E)  19.2°F) A) and B)
G) A) and C)

Exam 38: Diffraction Patterns and Polarization

A narrow slit is illuminated with sodium yellow light of wavelength 589 nm.If the central maximum extends to ±30.0°,how wide is the slit?

Correct AnswerverifiedShow Answer

How wide must a narrow slit be if the first diffraction minimum occurs at ±12° with laser light of 633 nm?

Correct AnswerverifiedShow Answer

Each pattern shown below would appear on a screen when monochromatic light first passes through a narrow slit of width a and then strikes a screen.The darkest areas on the page represent the brightest areas on the screen.In which case is the slit illuminated with light of the shortest wavelength?

Correct AnswerverifiedShow Answer

A beam of X-rays of different frequencies is reflected at 10 degrees off a crystal of interatomic spacing 0.2 nm.Which X-ray wavelength is preferentially reflected?

Correct AnswerverifiedShow Answer

A slit of variable width illuminated by light of wavelength λ is widened until the first order diffraction minimum moves out to a distance infinitely far away from the brightest location in the central maximum.In terms of the wavelength,the width of the slit is then

Correct AnswerverifiedShow Answer

The hydrogen spectrum has a red line at 656 nm,and a blue line at 434 nm.What is the first order angular separation between the two spectral lines obtained with a diffraction grating with 5000 rulings/cm?

Correct AnswerverifiedShow Answer

The centers of two slits of width a are a distance d apart.If the fourth minimum of the interference pattern occurs at the location of the first minimum of the diffraction pattern for light of wavelength λ,the ratio a/d is equal to

Correct AnswerverifiedShow Answer

Unpolarized light is passed through three successive Polaroid filters,each with its transmission axis at 45.0° to the preceding filter.What percentage of light gets through?

Correct AnswerverifiedShow Answer

In an X-ray diffraction experiment using X-rays of λ = 0.500 × 10−10 m,a first-order maximum occurred at 5.00°.Find the crystal plane spacing.

Correct AnswerverifiedShow Answer

The large space telescope that has been placed into an Earth orbit has an aperture diameter of 2.40 meters.What angular resolution will this telescope achieve for visible light of wavelength λ = 4.80 × 10−7 m?

Correct AnswerverifiedShow Answer

Sunlight reflected from a smooth ice surface is completely polarized.Determine the angle of incidence.(nice = 1.31. )

Correct AnswerverifiedShow Answer

Scattered light in the atmosphere is often partially polarized.The best way to determine whether or not light from a particular direction in the sky shows polarization is to

Correct AnswerverifiedShow Answer

Potassium Iodide (chemical formula: KI) has a face-centered cubic structure (just like sodium chloride) .If the distance between crystal planes is d = 0.353 nm and X-rays of wavelength λ = 0.0934 nm are used,what is the smallest angle θ at which a diffraction maximum may be obtained?

Correct AnswerverifiedShow Answer

A ruby laser beam (λ = 694.3 nm) is sent outwards from a 2.7-m diameter telescope to the moon,384,000 km away.What is the radius of the big red spot on the moon?

Correct AnswerverifiedShow Answer

The pupil of a cat's eye narrows to a slit width of 0.5 mm in daylight.What is the angular resolution of the cat's eye in daylight (λ = 500 nm) ?

Correct AnswerverifiedShow Answer

A helium-neon laser (λ = 632.8 nm) is used to calibrate a diffraction grating.If the first-order maximum occurs at 20.5°,what is the line spacing,d?

Correct AnswerverifiedShow Answer

A single slit of width a is illuminated by light of wavelength λ.If a = 4.3λ,the maximum number of dark fringes on a semi-circular screen surrounding the slit is

Correct AnswerverifiedShow Answer

Plane waves of ultrasound,f = 51.0 kHz,impinge on a flat plane with a 1.00 cm-wide slit.What is the total angular width (2θ) of diffracted sound waves when the speed of sound in air is 340 m/sec.

Correct AnswerverifiedShow Answer

At what distance could one theoretically distinguish two automobile headlights separated by 1.5 meters? Assume a pupil diameter of 0.50 cm and yellow headlights seen at the wavelength 5.0 × 10−7 m.Assume eye fluid has an average n = 1.33.

Correct AnswerverifiedShow Answer

Light strikes a flat water surface (n = 1.333)at the Brewster angle.Calculate the angle between the reflected and the refracted ray.

Correct AnswerverifiedShow Answer

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

In an X-ray diffraction experiment using X-rays of λ = 0.500 × 10−¹⁰ m,a first-order maximum occurred at 5.00°.Find the crystal plane spacing.

Correct Answer
verified

The large space telescope that has been placed into an Earth orbit has an aperture diameter of 2.40 meters.What angular resolution will this telescope achieve for visible light of wavelength λ = 4.80 × 10−⁷ m?

Correct Answer
verified

Sunlight reflected from a smooth ice surface is completely polarized.Determine the angle of incidence.(n_ice = 1.31. )

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

At what distance could one theoretically distinguish two automobile headlights separated by 1.5 meters? Assume a pupil diameter of 0.50 cm and yellow headlights seen at the wavelength 5.0 × 10−⁷ m.Assume eye fluid has an average n = 1.33.

Correct Answer
verified

Correct Answer
verified