Question 1

Two coherent light sources are characterized by

Accepted Answer

A)  having the same amplitude. 
B)  having the same frequency. 
C)  having the same wavelength. 
D)  having the same velocity. 
E)  having the same frequency and maintaining a constant phase difference. 
A)  having the same amplitude. 
B)  having the same frequency. 
C)  having the same wavelength. 
D)  having the same velocity. 
E)  having the same frequency and maintaining a constant phase difference. E

Question 2

What is θmin for a monochromatic beam of light of wavelength 600 nm and an aperture diameter of 6.00 mm?

Accepted Answer

A)  100 × 10-6 rad 
B)  202 × 10-6 rad 
C)  122 × 10-6 rad 
D)  244 × 10-6 rad 
E)  236 × 10-6 rad 
A)  100 × 10-6 rad 
B)  202 × 10-6 rad 
C)  122 × 10-6 rad 
D)  244 × 10-6 rad 
E)  236 × 10-6 rad C

Question 3

In a single-slit diffraction experiment, the width of the slit is 1.90 μm. If a beam of light of wavelength 610 nm forms a diffraction pattern, what is the angle associated with the first minimum above the central bright fringe?

Accepted Answer

A)  9.35° 
B)  11.4° 
C)  12.2° 
D)  39.9° 
E)  18.7° 
A)  9.35° 
B)  11.4° 
C)  12.2° 
D)  39.9° 
E)  18.7° E

Question 4

A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the distance from the slit to the screen is doubled?

Accepted Answer

A)  It will be cut to one-quarter its original size. 
B)  It will be cut in half. 
C)  It will double. 
D)  It will become four times as large. 
E)  It will become eight times as large. 
A)  It will be cut to one-quarter its original size. 
B)  It will be cut in half. 
C)  It will double. 
D)  It will become four times as large. 
E)  It will become eight times as large.

Question 5

The interference of light is because of its particle nature as suggested by Sir Isaac Newton.

Accepted Answer

A) True 
 B)False

Question 6

Which one of the following mathematical expressions is correct for destructive interference for two beams of light in the double slit experiment?

Accepted Answer

A)  Path Difference = (m - 1/2) λ, m = 0, ±1, ±2, . . . 
B)  Path Difference = λ/m, m = 0, ±1, ±2, . . . 
C)  Path Difference = mλ, m = 0, ±1, ±2, . . . 
D)  Path Difference = mλ2, m = 0, ±1, ±2, . . . 
E)  Path Difference = m/λ, m = 0, ±1, ±2, . . . 
A)  Path Difference = (m - 1/2) λ, m = 0, ±1, ±2, . . . 
B)  Path Difference = λ/m, m = 0, ±1, ±2, . . . 
C)  Path Difference = mλ, m = 0, ±1, ±2, . . . 
D)  Path Difference = mλ2, m = 0, ±1, ±2, . . . 
E)  Path Difference = m/λ, m = 0, ±1, ±2, . . .

Question 7

A wave that travels from a medium of lower index of refraction to a medium of higher index of refraction undergoes 180° phase changes relative to the incident wave.

Accepted Answer

A) True 
 B)False

Question 8

Light of wavelength 0.50 μm illuminates a soap film (n = 1.33). What is the minimum thickness of film that will give an interference when the light is incident normally on it?

Accepted Answer

The answer of Light of wavelength 0.50 μm illuminates a...

Question 9

A 500 nm light is reflected constructively from a thin layer of oil of index of refraction 1.25, which rests on the top of water of index of refraction 1.33. What is the minimum thickness of the layer of oil?

Accepted Answer

A)  100 nm 
B)  150 nm 
C)  175 nm 
D)  200 nm 
E)  225 nm 
A)  100 nm 
B)  150 nm 
C)  175 nm 
D)  200 nm 
E)  225 nm

Question 10

In Young's double-slit experiment, light coming from each slit arrives in phase at the first maximum on either side of the central bright fringe.

Accepted Answer

A) True 
 B)False

Question 11

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

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 12

A very fine thread is placed between two glass plates on one side and the other side is touching to form a wedge. A beam of monochromatic light of wavelength 600 nm illuminates the wedge and 178 bright fringes are observed. What is the thickness of the thread?

Accepted Answer

A)  22.3 μm 
B)  26.7 μm 
C)  32.3 μm 
D)  53.3 μm 
E)  76.3 μm 
A)  22.3 μm 
B)  26.7 μm 
C)  32.3 μm 
D)  53.3 μm 
E)  76.3 μm

Question 13

Which one of the following mathematical expressions is correct for constructive interference for two beams of light in the double slit experiment?

Accepted Answer

A)  Path Difference = (m - 1/2) λ, m = 0, ±1, ±2, . . . 
B)  Path Difference = λ/m, m = 0, ±1, ±2, . . . 
C)  Path Difference = mλ, m = 0, ±1, ±2, . . . 
D)  Path Difference = m   , m = 0, ±1, ±2, . . . 
E)  Path Difference = m/λ, m = 0, ±1, ±2,. . . . 
A)  Path Difference = (m - 1/2) λ, m = 0, ±1, ±2, . . . 
B)  Path Difference = λ/m, m = 0, ±1, ±2, . . . 
C)  Path Difference = mλ, m = 0, ±1, ±2, . . . 
D)  Path Difference = m   , m = 0, ±1, ±2, . . . 
E)  Path Difference = m/λ, m = 0, ±1, ±2,. . . .

Question 14

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

Accepted Answer

A)  It stays the same. 
B)  It becomes narrower. 
C)  It becomes wider. 
D)  We must know the wavelength of the light to answer. 
A)  It stays the same. 
B)  It becomes narrower. 
C)  It becomes wider. 
D)  We must know the wavelength of the light to answer.

Question 15

Light of wavelength λ = 540 nm passes through a pair of slits with separation 3.4 × 10-5 m. What is the angle corresponding to the second bright fringe?

Accepted Answer

A)  1.8° 
B)  3.7° 
C)  4.3° 
D)  1.5° 
E)  5.0° 
A)  1.8° 
B)  3.7° 
C)  4.3° 
D)  1.5° 
E)  5.0°

Question 16

What is the minimum thickness of a nonreflecting film coating (n = 1.30) on a glass lens (n = 1.50) for wavelength 500 nm?

Accepted Answer

A)  250 nm 
B)  221 nm 
C)  192 nm 
D)  167 nm 
E)  96.2 nm 
A)  250 nm 
B)  221 nm 
C)  192 nm 
D)  167 nm 
E)  96.2 nm

Question 17

Coherent sources of light have a varying phase difference.

Accepted Answer

A) True 
 B)False

Question 18

In the two-slit experiment, for the condition of bright fringes, the value of m = +4 corresponds to a path difference of

Accepted Answer

A)  4λ 
B)  3λ 
C)  2λ 
D)  λ 
E)  (1/2)λ 
A)  4λ 
B)  3λ 
C)  2λ 
D)  λ 
E)  (1/2)λ

Question 19

In Young's two-slit experiment, the distance between the slits and the screen is 1.10 m and the distance between the slits is 0.0400 mm. If the second order bright fringe is measured to be 4.20 cm from the centerline, what is the wavelength of light?

Accepted Answer

A)  200 nm 
B)  381 nm 
C)  401 nm 
D)  620 nm 
E)  763 nm 
A)  200 nm 
B)  381 nm 
C)  401 nm 
D)  620 nm 
E)  763 nm

Question 20

In the two-slit experiment, for the condition of dark fringes, the value of m = +2 corresponds to a path difference of 3λ/2.

Accepted Answer

A) True 
 B)False

Exam 28: Physical Optics: Interference and Diffraction

Two coherent light sources are characterized by

What is θmin for a monochromatic beam of light of wavelength 600 nm and an aperture diameter of 6.00 mm?

In a single-slit diffraction experiment, the width of the slit is 1.90 μm. If a beam of light of wavelength 610 nm forms a diffraction pattern, what is the angle associated with the first minimum above the central bright fringe?

A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the distance from the slit to the screen is doubled?

The interference of light is because of its particle nature as suggested by Sir Isaac Newton.

Which one of the following mathematical expressions is correct for destructive interference for two beams of light in the double slit experiment?

A wave that travels from a medium of lower index of refraction to a medium of higher index of refraction undergoes 180° phase changes relative to the incident wave.

Light of wavelength 0.50 μm illuminates a soap film (n = 1.33). What is the minimum thickness of film that will give an interference when the light is incident normally on it?

A 500 nm light is reflected constructively from a thin layer of oil of index of refraction 1.25, which rests on the top of water of index of refraction 1.33. What is the minimum thickness of the layer of oil?

In Young's double-slit experiment, light coming from each slit arrives in phase at the first maximum on either side of the central bright fringe.

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

A very fine thread is placed between two glass plates on one side and the other side is touching to form a wedge. A beam of monochromatic light of wavelength 600 nm illuminates the wedge and 178 bright fringes are observed. What is the thickness of the thread?

Which one of the following mathematical expressions is correct for constructive interference for two beams of light in the double slit experiment?

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

Light of wavelength λ = 540 nm passes through a pair of slits with separation 3.4 × 10-5 m. What is the angle corresponding to the second bright fringe?

What is the minimum thickness of a nonreflecting film coating (n = 1.30) on a glass lens (n = 1.50) for wavelength 500 nm?

Coherent sources of light have a varying phase difference.

In the two-slit experiment, for the condition of bright fringes, the value of m = +4 corresponds to a path difference of

In Young's two-slit experiment, the distance between the slits and the screen is 1.10 m and the distance between the slits is 0.0400 mm. If the second order bright fringe is measured to be 4.20 cm from the centerline, what is the wavelength of light?

In the two-slit experiment, for the condition of dark fringes, the value of m = +2 corresponds to a path difference of 3λ/2.

Introduction to Physics

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Filters

What is θ_min for a monochromatic beam of light of wavelength 600 nm and an aperture diameter of 6.00 mm?

Light of wavelength λ = 540 nm passes through a pair of slits with separation 3.4 × 10^-5 m. What is the angle corresponding to the second bright fringe?