Question 1

Light has a wavelength of 600 nm in a vacuum. It passes into glass, which has an index of refraction of 1.50. What is the wavelength of the light in the glass?

Accepted Answer

A)  600 nm 
B)  500 nm 
C)  400 nm 
D)  300 nm 
E)  900 nm 
A)  600 nm 
B)  500 nm 
C)  400 nm 
D)  300 nm 
E)  900 nm

Question 2

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

Accepted Answer

A)  0.39 m 
B)  0.93 m 
C)  1.1 m 
D)  1.5 m 
E)  1.9 m 
A)  0.39 m 
B)  0.93 m 
C)  1.1 m 
D)  1.5 m 
E)  1.9 m

Question 3

A metallic sheet has a large number of parallel slits, 5.0 mm wide and 20 cm apart. This sheet is used as a diffraction grating for microwaves. A wide parallel beam of microwaves is incident normally on the sheet. If the intensity maxima occur 2.0° apart in the central region, what is the wavelength of the microwaves?

Accepted Answer

A)  5.0 mm 
B)  6.0 mm 
C)  7.0 mm 
D)  8.0 mm 
E)  9.0 mm 
A)  5.0 mm 
B)  6.0 mm 
C)  7.0 mm 
D)  8.0 mm 
E)  9.0 mm

Question 4

Light of wavelength 550 nm in air is found to travel at 1.96 × 108 m/s in a certain liquid. (c = 3.0 × 108 m/s)
(a) What is the index of refraction of this liquid?
(b) What is the frequency of the light in air?

Accepted Answer

(a) 1.53

Question 5

The distance between the ruled lines on a diffraction grating is 1900 nm. The grating is illuminated at normal incidence with a parallel beam of white light in the 400 nm to 700 nm wavelength band. What is the angular width of the gap between the first order spectrum and the second order spectrum?

Accepted Answer

A)  3.3° 
B)  4.3° 
C)  5.3° 
D)  6.3° 
E)  2.3° 
A)  3.3° 
B)  4.3° 
C)  5.3° 
D)  6.3° 
E)  2.3°

Question 6

A soap bubble with air on both sides has an index of refraction of 1.33. What minimum thickness of the wall of this bubble will ensure maximum reflectance of normally incident light having a wavelength of 530 nm?

Accepted Answer

The answer of A soap bubble with air on both...

Question 7

A double-slit interference experiment is performed in the air. Later, the same apparatus is immersed in benzene (which has an index of refraction of 1.50), and the experiment is repeated. When the apparatus is in benzene, you observe that the interference fringes are

Accepted Answer

A)  more closely spaced than when the apparatus is in air. 
B)  equally spaced as when the apparatus is in air. 
C)  more widely spaced than when the apparatus is in air. 
A)  more closely spaced than when the apparatus is in air. 
B)  equally spaced as when the apparatus is in air. 
C)  more widely spaced than when the apparatus is in air.

Question 8

A glass plate that is 2.5 cm long is separated from another glass plate at one end by a strand of someone's hair that is 0.010 mm in diameter. How far apart are the adjacent interference bands when viewed with light of wavelength 600 nm?

Accepted Answer

The answer of A glass plate that is 2.5 cm...

Question 9

The figure shows the resulting pattern when a single slit is illuminated by monochromatic light. The slit is 0.3 × $10^{ - 3}$ m wide and is illuminated by light of wavelength 506 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 two diffraction minima on either side of the central diffraction maximum?

Accepted Answer

The answer of The figure shows the resulting pattern when...

Question 10

Light reflects off the surface of Lake Superior. What phase shift does it undergo?

Accepted Answer

A)  0° 
B)  90° 
C)  180° 
D)  270° 
E)  It does not undergo any phase shift. 
A)  0° 
B)  90° 
C)  180° 
D)  270° 
E)  It does not undergo any phase shift.

Question 11

When a single slit that is 0.050 mm wide is illuminated by light of 550-nm wavelength, what is the angular separation between the first two minima on one side of the central maximum?

Accepted Answer

A)  0.36° 
B)  0.47° 
C)  0.54° 
D)  0.63° 
E)  1.3° 
A)  0.36° 
B)  0.47° 
C)  0.54° 
D)  0.63° 
E)  1.3°

Question 12

When red light illuminates a grating with 7000 lines per centimeter, its second maximum is at 62.4°. What is the wavelength of this light?

Accepted Answer

The answer of When red light illuminates a grating with...

Question 13

Light of wavelength 500 nm illuminates a round 0.50-mm-diameter hole. A screen is placed 6.0 m past the slit. What is the width of the central bright circle on the screen?

Accepted Answer

A)  15 mm 
B)  260 μm 
C)  7.3 mm 
D)  3700 μm 
A)  15 mm 
B)  260 μm 
C)  7.3 mm 
D)  3700 μm

Question 14

In a single-slit diffraction experiment, the width of the slit through which light passes is reduced. What happens to the width of the central bright fringe in the resulting diffraction pattern?

Accepted Answer

A)  It stays the same. 
B)  It becomes narrower. 
C)  It becomes wider. 
A)  It stays the same. 
B)  It becomes narrower. 
C)  It becomes wider.

Question 15

Which of the following changes would increase the separation between the bright fringes in the diffraction pattern formed by a diffraction grating?

Accepted Answer

A)  Increase the wavelength of the light used. 
B)  Increase the separation between the slits. 
C)  Immerse the apparatus in water. 
D)  All of these. 
E)  None of these. 
A)  Increase the wavelength of the light used. 
B)  Increase the separation between the slits. 
C)  Immerse the apparatus in water. 
D)  All of these. 
E)  None of these.

Question 16

A beam of monochromatic light passes through a slit that is 11.0 μm wide. If the first order dark fringe of the resulting diffraction pattern is at an angle of 4.31° away from the centerline, what is the wavelength of light?

Accepted Answer

A)  827 nm 
B)  301 nm 
C)  602 nm 
D)  402 nm 
E)  201 nm 
A)  827 nm 
B)  301 nm 
C)  602 nm 
D)  402 nm 
E)  201 nm

Question 17

Light in air of wavelength 500 nm illuminates a soap film that has an index of refraction of 1.3 and air on both sides. What is the minimum thickness of this film that will produce cancellation in the reflected light when the light is incident normally on the film?

Accepted Answer

The answer of Light in air of wavelength 500 nm...

Question 18

Two light sources are said to be coherent if they are

Accepted Answer

A)  of the same frequency. 
B)  of the same frequency, and maintain a constant phase difference. 
C)  of the same amplitude, and maintain a constant phase difference. 
D)  of the same frequency and amplitude. 
A)  of the same frequency. 
B)  of the same frequency, and maintain a constant phase difference. 
C)  of the same amplitude, and maintain a constant phase difference. 
D)  of the same frequency and amplitude.

Question 19

Light of wavelength 580 nm is incident on a slit of width 0.30 mm. An observing screen is placed 2.0 m past the slit. Find the distance on the screen of the first order dark fringe from the center of the pattern.

Accepted Answer

A)  0.26 mm 
B)  1.5 mm 
C)  1.9 mm 
D)  3.9 mm 
E)  7.7 mm 
A)  0.26 mm 
B)  1.5 mm 
C)  1.9 mm 
D)  3.9 mm 
E)  7.7 mm

Question 20

When a beam of light, originally traveling in air, enters a piece of glass having an index of refraction of 3/2, its wavelength

Accepted Answer

A)  increases by a factor of 3/2. 
B)  is reduced to 2/3 its original value. 
C)  is unaffected. 
A)  increases by a factor of 3/2. 
B)  is reduced to 2/3 its original value. 
C)  is unaffected.

Exam 17: Wave Optics

Light has a wavelength of 600 nm in a vacuum. It passes into glass, which has an index of refraction of 1.50. What is the wavelength of the light in the glass?

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

Light of wavelength 550 nm in air is found to travel at 1.96 × 108 m/s in a certain liquid. (c = 3.0 × 108 m/s) (a) What is the index of refraction of this liquid? (b) What is the frequency of the light in air?

The distance between the ruled lines on a diffraction grating is 1900 nm. The grating is illuminated at normal incidence with a parallel beam of white light in the 400 nm to 700 nm wavelength band. What is the angular width of the gap between the first order spectrum and the second order spectrum?

A soap bubble with air on both sides has an index of refraction of 1.33. What minimum thickness of the wall of this bubble will ensure maximum reflectance of normally incident light having a wavelength of 530 nm?

A double-slit interference experiment is performed in the air. Later, the same apparatus is immersed in benzene (which has an index of refraction of 1.50), and the experiment is repeated. When the apparatus is in benzene, you observe that the interference fringes are

A glass plate that is 2.5 cm long is separated from another glass plate at one end by a strand of someone's hair that is 0.010 mm in diameter. How far apart are the adjacent interference bands when viewed with light of wavelength 600 nm?

Light reflects off the surface of Lake Superior. What phase shift does it undergo?

When a single slit that is 0.050 mm wide is illuminated by light of 550-nm wavelength, what is the angular separation between the first two minima on one side of the central maximum?

When red light illuminates a grating with 7000 lines per centimeter, its second maximum is at 62.4°. What is the wavelength of this light?

Light of wavelength 500 nm illuminates a round 0.50-mm-diameter hole. A screen is placed 6.0 m past the slit. What is the width of the central bright circle on the screen?

In a single-slit diffraction experiment, the width of the slit through which light passes is reduced. What happens to the width of the central bright fringe in the resulting diffraction pattern?

Which of the following changes would increase the separation between the bright fringes in the diffraction pattern formed by a diffraction grating?

A beam of monochromatic light passes through a slit that is 11.0 μm wide. If the first order dark fringe of the resulting diffraction pattern is at an angle of 4.31° away from the centerline, what is the wavelength of light?

Light in air of wavelength 500 nm illuminates a soap film that has an index of refraction of 1.3 and air on both sides. What is the minimum thickness of this film that will produce cancellation in the reflected light when the light is incident normally on the film?

Two light sources are said to be coherent if they are

Light of wavelength 580 nm is incident on a slit of width 0.30 mm. An observing screen is placed 2.0 m past the slit. Find the distance on the screen of the first order dark fringe from the center of the pattern.

When a beam of light, originally traveling in air, enters a piece of glass having an index of refraction of 3/2, its wavelength

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Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid. (c = 3.0 × 10⁸ m/s) (a) What is the index of refraction of this liquid? (b) What is the frequency of the light in air?