Question 1

The minimum path difference that will produce a phase difference of 90º for light of wavelength 500 nm is

Accepted Answer

A)  62.5 nm 
B)  125 nm 
C)  250 nm 
D)  375 nm 
E)  400 nm 
A)  62.5 nm 
B)  125 nm 
C)  250 nm 
D)  375 nm 
E)  400 nm

Question 2

The path difference for the two waves shown in the figure could be

Accepted Answer

A)  ¾$\lambda$ 
B)  ½$\lambda$ 
C)  ¼$\lambda$ 
D) $\lambda$ 
E)  It is not possible to answer this question without additional information. 
A)  ¾$\lambda$ 
B)  ½$\lambda$ 
C)  ¼$\lambda$ 
D) $\lambda$ 
E)  It is not possible to answer this question without additional information.

Question 3

If the prism spectrum of a source is a line spectrum, the grating spectrum would

Accepted Answer

A)  have lines identical in intensity and position. 
B)  have lines identical in position but not in intensity. 
C)  be an absorption spectrum. 
D)  also be a line spectrum. 
E)  be a continuous spectrum. 
A)  have lines identical in intensity and position. 
B)  have lines identical in position but not in intensity. 
C)  be an absorption spectrum. 
D)  also be a line spectrum. 
E)  be a continuous spectrum.

Question 4

You create a wedge-shaped film of air between two flat plates of glass 2.5 cm wide by laying one on top of the other and placing a small slip of paper 1.0 mm thick between their edges at one end. You illuminate the glass plates with normally incident monochromatic light of unknown wavelength. Observing the reflection, you see dark fringes at both ends of the plates. Between the ends you see three other dark fringes. What is the wavelength of the incident light?

Accepted Answer

A)  250 nm 
B)  400 nm 
C)  440 nm 
D)  500 nm 
E)  620 nm 
A)  250 nm 
B)  400 nm 
C)  440 nm 
D)  500 nm 
E)  620 nm

Question 5

Visible light from an ordinary source such as a sodium lamp can be used to produce interference effects that demonstrate the wave nature of light, provided that

Accepted Answer

A)  the light beam from the single source is split into two (or more) beams that have a constant phase relationship to one another. 
B)  the light is polarized. 
C)  the light is not polarized. 
D)  Interference effects cannot be demonstrated with ordinary light sources. 
E)  None of these conditions are satisfied. 
A)  the light beam from the single source is split into two (or more) beams that have a constant phase relationship to one another. 
B)  the light is polarized. 
C)  the light is not polarized. 
D)  Interference effects cannot be demonstrated with ordinary light sources. 
E)  None of these conditions are satisfied.

Question 6

Two side-by-side coherent light sources radiate at 480 nm. At a point in space where the path difference to these two sources is 50 nm, the phase difference could be

Accepted Answer

A)  0.238 radians 
B)  0.375 radians 
C)  0.466 radians 
D)  0.582 radians 
E)  0.654 radians 
A)  0.238 radians 
B)  0.375 radians 
C)  0.466 radians 
D)  0.582 radians 
E)  0.654 radians

Question 7

A monochromatic beam of light of wavelength 600 nm falls on a grating at normal incidence and produces a second-order image at an angle of 30º. The grating spacing must be

Accepted Answer

A)  0.60 µm 
B)  2.4 µm 
C)  0.30 µm 
D)  1.4 µm 
E)  1.0 µm 
A)  0.60 µm 
B)  2.4 µm 
C)  0.30 µm 
D)  1.4 µm 
E)  1.0 µm

Question 8

Two waves, one with amplitude A and the second with amplitude 2A, are out of phase by 180 $\degree$. The resultant intensity is

Accepted Answer

A)  zero 
B)  A 
C)  A2 
D)  2A2 
E)  (3
A) 2 
A)  zero 
B)  A 
C)  A2 
D)  2A2 
E)  (3
A) 2

Question 9

You set two parallel slits 0.2 mm apart at a distance of 1 m from a screen and illuminate them with light of wavelength 400 nm. The distance between the first and second dark lines of the interference pattern on the screen is

Accepted Answer

A)  2.5 mm 
B)  2.0 mm 
C)  1.5 mm 
D)  1.0 mm 
E)  0.5 mm 
A)  2.5 mm 
B)  2.0 mm 
C)  1.5 mm 
D)  1.0 mm 
E)  0.5 mm

Question 10

$\lambda$(nm)
N
350
1)725
400
1)600
500
1)525
600
1)500
700
1)495
You obtain the data in the table for a certain prism in a spectrometer experiment and determine that the light of an unknown wavelength has an index of refraction of 1.562. From a dispersion curve you find the wavelength to be

Accepted Answer

A)  375 nm 
B)  430 nm 
C)  450 nm 
D)  480 nm 
E)  550 nm 
A)  375 nm 
B)  430 nm 
C)  450 nm 
D)  480 nm 
E)  550 nm

Question 11

For a grating with d = 3.5$\lambda$, the maximum order m of an interference maximum that can be observed for a specified $\lambda$ is

Accepted Answer

A)  3.5 
B)  3 
C)  1 
D)  2 
E)  2.5 
A)  3.5 
B)  3 
C)  1 
D)  2 
E)  2.5

Question 12

White light is in one case dispersed by refraction on passing through a glass prism and in a second case diffracted by means of a grating. When the red component and the blue component are considered, it is found that

Accepted Answer

A)  red is both refracted and diffracted at greater angles than blue. 
B)  blue is both refracted and diffracted at greater angles than red. 
C)  red is refracted at a greater angle than blue, but blue is diffracted at a greater angle than red. 
D)  blue is refracted at a greater angle than red, but red is diffracted at a greater angle than blue. 
E)  both red and blue are refracted at the same angle and diffracted at the same angle. 
A)  red is both refracted and diffracted at greater angles than blue. 
B)  blue is both refracted and diffracted at greater angles than red. 
C)  red is refracted at a greater angle than blue, but blue is diffracted at a greater angle than red. 
D)  blue is refracted at a greater angle than red, but red is diffracted at a greater angle than blue. 
E)  both red and blue are refracted at the same angle and diffracted at the same angle.

Question 13

Two parallel glass plates of index of refraction n are separated by an air film of thickness d. Light of wavelength $\lambda$ in air, normally incident on the plates, is intensified on reflection when, for some integer m

Accepted Answer

A)  2d = m$\lambda$ 
B)  2d = m$\lambda$0/n 
C)  2d = mn$\lambda$ 
D)  2d = (m + 1/2)$\lambda$ 
E)  2nd = m$\lambda$ /2 
A)  2d = m$\lambda$ 
B)  2d = m$\lambda$0/n 
C)  2d = mn$\lambda$ 
D)  2d = (m + 1/2)$\lambda$ 
E)  2nd = m$\lambda$ /2

Question 14

The fringes are the result of

Accepted Answer

A)  diffraction from a single slit. 
B)  interference from a double slit in addition to diffraction from the two slits. 
C)  interference from three slits. 
D)  diffraction from three slits. 
E)  None of these is correct. 
A)  diffraction from a single slit. 
B)  interference from a double slit in addition to diffraction from the two slits. 
C)  interference from three slits. 
D)  diffraction from three slits. 
E)  None of these is correct.

Question 15

In a double-slit experiment, the distance from the slits to the screen is decreased by a factor of 2. If the distance between the fringes is small compared with the distance from the slits to the screen, the distance between adjacent fringes

Accepted Answer

A)  increases by a factor of 2. 
B)  increases by a factor of 4. 
C)  depends on the width of the slits. 
D)  decreases by a factor of 2. 
E)  decreases by a factor of 4. 
A)  increases by a factor of 2. 
B)  increases by a factor of 4. 
C)  depends on the width of the slits. 
D)  decreases by a factor of 2. 
E)  decreases by a factor of 4.

Question 16

A diffraction grating has 5000 lines per centimeter and is 1.5 centimeters wide. When radiation is incident upon the grating a second-order maximum is observed at an angle of 37º. The wavelength of this light is

Accepted Answer

A)  400 nm 
B)  600 nm 
C)  900 nm 
D)  1200 nm 
E)  2400 nm 
A)  400 nm 
B)  600 nm 
C)  900 nm 
D)  1200 nm 
E)  2400 nm

Question 17

For a given light source and collimator slit width, the spectral lines obtained using a prism are brighter than those using a diffraction grating because

Accepted Answer

A)  the grating absorbs more light than the prism. 
B)  light is dispersed more by a prism than by a grating. 
C)  the prism forms a single spectrum and the grating forms multiple spectra. 
D)  light passes through the prism at minimum deviation. 
E)  light is dispersed more by a grating than by a prism. 
A)  the grating absorbs more light than the prism. 
B)  light is dispersed more by a prism than by a grating. 
C)  the prism forms a single spectrum and the grating forms multiple spectra. 
D)  light passes through the prism at minimum deviation. 
E)  light is dispersed more by a grating than by a prism.

Question 18

Green light of wavelength 500 nm is incident normally on a diffraction grating that has 5300 lines/cm. The second-order image is diffracted at an angle from the normal of

Accepted Answer

A)  10º 
B)  16º 
C)  32º 
D)  48º 
E)  57º 
A)  10º 
B)  16º 
C)  32º 
D)  48º 
E)  57º

Question 19

As the width of the slit producing a single-slit diffraction pattern is slowly and steadily reduced (always remaining larger than the wavelength of the light), the diffraction pattern

Accepted Answer

A)  slowly and steadily gets wider. 
B)  slowly and steadily gets brighter. 
C)  does not change because the wavelength of the light does not change. 
D)  slowly and steadily gets narrower. 
E)  None of these is correct. 
A)  slowly and steadily gets wider. 
B)  slowly and steadily gets brighter. 
C)  does not change because the wavelength of the light does not change. 
D)  slowly and steadily gets narrower. 
E)  None of these is correct.

Question 20

The bending of light around an obstacle such as the edge of a slit is called

Accepted Answer

A)  diffraction 
B)  dispersion 
C)  reflection 
D)  refraction 
E)  polarization 
A)  diffraction 
B)  dispersion 
C)  reflection 
D)  refraction 
E)  polarization

The minimum path difference that will produce a phase difference of 90º for light of wavelength 500 nm is

The path difference for the two waves shown in the figure could be

If the prism spectrum of a source is a line spectrum, the grating spectrum would

Visible light from an ordinary source such as a sodium lamp can be used to produce interference effects that demonstrate the wave nature of light, provided that

Two side-by-side coherent light sources radiate at 480 nm. At a point in space where the path difference to these two sources is 50 nm, the phase difference could be

A monochromatic beam of light of wavelength 600 nm falls on a grating at normal incidence and produces a second-order image at an angle of 30º. The grating spacing must be

Two waves, one with amplitude A and the second with amplitude 2A, are out of phase by 180 $\degree$ . The resultant intensity is

You set two parallel slits 0.2 mm apart at a distance of 1 m from a screen and illuminate them with light of wavelength 400 nm. The distance between the first and second dark lines of the interference pattern on the screen is

$\lambda$ (nm) N 350 1)725 400 1)600 500 1)525 600 1)500 700 1)495 You obtain the data in the table for a certain prism in a spectrometer experiment and determine that the light of an unknown wavelength has an index of refraction of 1.562. From a dispersion curve you find the wavelength to be

For a grating with d = 3.5 $\lambda$ , the maximum order m of an interference maximum that can be observed for a specified $\lambda$ is

White light is in one case dispersed by refraction on passing through a glass prism and in a second case diffracted by means of a grating. When the red component and the blue component are considered, it is found that

The fringes are the result of

In a double-slit experiment, the distance from the slits to the screen is decreased by a factor of 2. If the distance between the fringes is small compared with the distance from the slits to the screen, the distance between adjacent fringes

A diffraction grating has 5000 lines per centimeter and is 1.5 centimeters wide. When radiation is incident upon the grating a second-order maximum is observed at an angle of 37º. The wavelength of this light is

For a given light source and collimator slit width, the spectral lines obtained using a prism are brighter than those using a diffraction grating because

Green light of wavelength 500 nm is incident normally on a diffraction grating that has 5300 lines/cm. The second-order image is diffracted at an angle from the normal of

As the width of the slit producing a single-slit diffraction pattern is slowly and steadily reduced (always remaining larger than the wavelength of the light), the diffraction pattern

The bending of light around an obstacle such as the edge of a slit is called

The Electric Field I: Discrete Charge Distributions

The Electric Field II: Continuous Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

Exam 13: Interference and Diffraction

The minimum path difference that will produce a phase difference of 90º for light of wavelength 500 nm is

The path difference for the two waves shown in the figure could be

If the prism spectrum of a source is a line spectrum, the grating spectrum would

Visible light from an ordinary source such as a sodium lamp can be used to produce interference effects that demonstrate the wave nature of light, provided that

Two side-by-side coherent light sources radiate at 480 nm. At a point in space where the path difference to these two sources is 50 nm, the phase difference could be

A monochromatic beam of light of wavelength 600 nm falls on a grating at normal incidence and produces a second-order image at an angle of 30º. The grating spacing must be

Two waves, one with amplitude A and the second with amplitude 2A, are out of phase by 180 °\degree° . The resultant intensity is

You set two parallel slits 0.2 mm apart at a distance of 1 m from a screen and illuminate them with light of wavelength 400 nm. The distance between the first and second dark lines of the interference pattern on the screen is

λ\lambdaλ (nm) N 350 1)725 400 1)600 500 1)525 600 1)500 700 1)495 You obtain the data in the table for a certain prism in a spectrometer experiment and determine that the light of an unknown wavelength has an index of refraction of 1.562. From a dispersion curve you find the wavelength to be

For a grating with d = 3.5 λ\lambdaλ , the maximum order m of an interference maximum that can be observed for a specified λ\lambdaλ is

White light is in one case dispersed by refraction on passing through a glass prism and in a second case diffracted by means of a grating. When the red component and the blue component are considered, it is found that

Two parallel glass plates of index of refraction n are separated by an air film of thickness d. Light of wavelength λ\lambdaλ in air, normally incident on the plates, is intensified on reflection when, for some integer m

The fringes are the result of

In a double-slit experiment, the distance from the slits to the screen is decreased by a factor of 2. If the distance between the fringes is small compared with the distance from the slits to the screen, the distance between adjacent fringes

A diffraction grating has 5000 lines per centimeter and is 1.5 centimeters wide. When radiation is incident upon the grating a second-order maximum is observed at an angle of 37º. The wavelength of this light is

For a given light source and collimator slit width, the spectral lines obtained using a prism are brighter than those using a diffraction grating because

Green light of wavelength 500 nm is incident normally on a diffraction grating that has 5300 lines/cm. The second-order image is diffracted at an angle from the normal of

As the width of the slit producing a single-slit diffraction pattern is slowly and steadily reduced (always remaining larger than the wavelength of the light), the diffraction pattern

The bending of light around an obstacle such as the edge of a slit is called

The Electric Field I: Discrete Charge Distributions

The Electric Field II: Continuous Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

Two waves, one with amplitude A and the second with amplitude 2A, are out of phase by 180 $\degree$ . The resultant intensity is

$\lambda$ (nm) N 350 1)725 400 1)600 500 1)525 600 1)500 700 1)495 You obtain the data in the table for a certain prism in a spectrometer experiment and determine that the light of an unknown wavelength has an index of refraction of 1.562. From a dispersion curve you find the wavelength to be

For a grating with d = 3.5 $\lambda$ , the maximum order m of an interference maximum that can be observed for a specified $\lambda$ is