Question 1

The width of a principal maximum for a grating decreases with an increase in each of the following except

Accepted Answer

A)  the number of slits. 
B)  the separation of slits. 
C)  the wavelength of light. 
D)  Hold it! There are no exceptions. 
A)  the number of slits. 
B)  the separation of slits. 
C)  the wavelength of light. 
D)  Hold it! There are no exceptions. C

Question 2

When light reflects from a thin film, the distance between the fringes depends on all of the following except

Accepted Answer

A)  the change in film thickness. 
B)  the light frequency. 
C)  the index of refraction of the film. 
D)  Hold it! There are no exceptions. 
A)  the change in film thickness. 
B)  the light frequency. 
C)  the index of refraction of the film. 
D)  Hold it! There are no exceptions. D

Question 3

There is invariably a phase shift when light reflects from a surface such that the index of refraction in which the wave is propagating is

Accepted Answer

A) > 1. B) > the index of the material beyond the reflecting surface. C) = the index of the material beyond the reflecting surface. D) < the index of the material beyond the reflecting surface. A) > 1. B) > the index of the material beyond the reflecting surface. C) = the index of the material beyond the reflecting surface. D) < the index of the material beyond the reflecting surface. D

Question 4

If two sources emit waves that are of the same frequencies and are in phase, the interference fringes produced will appear to the human eye to be

Accepted Answer

A)  stationary in space. 
B)  stationary in time. 
C)  Both of the first two responses are valid. 
D)  Neither of the first two responses is valid. 
A)  stationary in space. 
B)  stationary in time. 
C)  Both of the first two responses are valid. 
D)  Neither of the first two responses is valid.

Question 5

Direct observation of a standing wave pattern associated with light is difficult. The most relevant reason is that

Accepted Answer

A)  the eye is insensitive to fluctuations in intensity that occur at those frequencies. 
B)  the eye cannot resolve a pattern with that spacing. 
C)  there is no convenient means of setting up the conditions for standing waves. 
D)  Hold it! In principle, light is not capable of producing standing waves. 
A)  the eye is insensitive to fluctuations in intensity that occur at those frequencies. 
B)  the eye cannot resolve a pattern with that spacing. 
C)  there is no convenient means of setting up the conditions for standing waves. 
D)  Hold it! In principle, light is not capable of producing standing waves.

Question 6

When two pieces of glass are pressed together in air and illuminated with coherent light, the place where they are in contact will look

Accepted Answer

A)  dark. 
B)  bright. 
C)  Hold it! Its appearance will oscillate between dark and bright. 
D)  Hold it! Though the appearance will be steady in time, more information is needed to answer this question unambiguously. 
A)  dark. 
B)  bright. 
C)  Hold it! Its appearance will oscillate between dark and bright. 
D)  Hold it! Though the appearance will be steady in time, more information is needed to answer this question unambiguously.

Question 7

The critical angle for two objects 1 meter apart is $10 ^ { - 6 }$ radians. Estimate the wavelength of the light:

Accepted Answer

A)  550 nm 
B)  630 nm 
C)  820 nm 
D)  710 nm 
A)  550 nm 
B)  630 nm 
C)  820 nm 
D)  710 nm

Question 8

The explanation for the correct response to the previous question involves the two facts that red light has a wavelength that is

Accepted Answer

A)  longer than that of blue light, and it travels slower in glass than blue light. 
B)  longer than that of blue light, and it travels faster in glass than blue light. 
C)  shorter than that of blue light, and it travels faster in glass than blue light. 
D)  shorter than that of blue light, and it travels slower in glass than blue light. 
A)  longer than that of blue light, and it travels slower in glass than blue light. 
B)  longer than that of blue light, and it travels faster in glass than blue light. 
C)  shorter than that of blue light, and it travels faster in glass than blue light. 
D)  shorter than that of blue light, and it travels slower in glass than blue light.

Question 9

In designing a grating, the way to achieve a smaller angular spread from the maxima of each wavelength to the corresponding minima for two approximately equal wavelengths is to

Accepted Answer

A)  make the slits closer together. 
B)  increase the number of slits. 
C)  look at larger-order maxima. 
D)  Hold it! More than one response is valid. 
A)  make the slits closer together. 
B)  increase the number of slits. 
C)  look at larger-order maxima. 
D)  Hold it! More than one response is valid.

Question 10

A monochromatic source produces light at a wavelength of 510 nm in air. The wave then passes through water that has an index of refraction of 1.32. The wavelength of the wave in the water is

Accepted Answer

A)  673 nm. 
B)  $386$ nm. 
C)  510 nm. 
D)  623 nm. 
A)  673 nm. 
B)  $386$ nm. 
C)  510 nm. 
D)  623 nm.

Question 11

The angular separation between principal maxima for a grating consisting of 10,000 slits is 30º. The approximate angular width of the principal maxima is

Accepted Answer

A)  .003º. 
B)  .3º. 
C)  30º. 
D)  Hold it! The angle is much greater than 360º. 
A)  .003º. 
B)  .3º. 
C)  30º. 
D)  Hold it! The angle is much greater than 360º.

Question 12

The second angular minima location for a single-slit diffraction having slit width of $1.5 \mu \mathrm { m }$ and wavelength of 500 nm is

Accepted Answer

A)  13º. 
B)  42º. 
C)  25º. 
D)  36º. 
A)  13º. 
B)  42º. 
C)  25º. 
D)  36º.

Question 13

Find the critical angle for two objects 1 meter apart when viewed using 500-nm light (assume a circular aperture):

Accepted Answer

A)  $$6 \times 10 ^ { - 7 }$$ radians 
B)  $4 \times 10 ^ { - 5 }$ radians 
C)  $8 \times 10 ^ { - 6 }$ radians 
D)  $5 \times 10 ^ { - 6 }$ radians 
A)  $$6 \times 10 ^ { - 7 }$$ radians 
B)  $4 \times 10 ^ { - 5 }$ radians 
C)  $8 \times 10 ^ { - 6 }$ radians 
D)  $5 \times 10 ^ { - 6 }$ radians

Question 14

When light reflects from a thin film, the distance between adjacent bright regions of the fringes depends on the path difference being equal to the wavelength of the light times

Accepted Answer

A)  1/4. 
B)  1/2. 
C)  1. 
D)  2. 
A)  1/4. 
B)  1/2. 
C)  1. 
D)  2.

Question 15

Two very flat pieces of glass touch at one edge and are held apart by a small wire at the other edge. Illumination from above by coherent light of wavelength 5000 angstroms results in 20 dark fringes between the touching surfaces and where the wire is located. The approximate diameter of the wire is

Accepted Answer

A)  200,000 angstroms. 
B)  100,000 angstroms. 
C)  50,000 angstroms. 
D)  25,000 angstroms. 
A)  200,000 angstroms. 
B)  100,000 angstroms. 
C)  50,000 angstroms. 
D)  25,000 angstroms.

Question 16

In designing a grating, the way to achieve a larger angular separation of adjacent maxima for two approximately equal wavelengths is to

Accepted Answer

A)  make the slits closer together. 
B)  increase the number of slits. 
C)  look at larger-order maxima. 
D)  Hold it! More than one response is valid. 
A)  make the slits closer together. 
B)  increase the number of slits. 
C)  look at larger-order maxima. 
D)  Hold it! More than one response is valid.

Question 17

The intensity $\text { I }$ of an electromagnetic wave (having electric field $E$ ) is proportional to

Accepted Answer

A)  $E$ 
B)  $\sqrt { E }$ 
C)  $E ^ { 2 }$ 
D)  $E ^ { 4 }$ 
A)  $E$ 
B)  $\sqrt { E }$ 
C)  $E ^ { 2 }$ 
D)  $E ^ { 4 }$

Question 18

In a Young's double-slit experiment, when $( \pi d / \lambda ) \sin \theta$ is a multiple of ( $\pi ( \pi , 2 \pi , 3 \pi )$ ), the intensity at the viewing screen

Accepted Answer

A)  is a maximum. 
B)  is a minimum. 
C)  is halfway between the maximum and minimum. 
D)  cannot be determined (we need $d , \lambda , \text { and } \theta$ ) 
A)  is a maximum. 
B)  is a minimum. 
C)  is halfway between the maximum and minimum. 
D)  cannot be determined (we need $d , \lambda , \text { and } \theta$ )

Question 19

When light reflects from a thin film, the distance between adjacent bright regions of the fringes depends on the film thickness being equal to the wavelength of the light times

Accepted Answer

A)  1/4. 
B)  1/2. 
C)  1. 
D)  2. 
A)  1/4. 
B)  1/2. 
C)  1. 
D)  2.

Question 20

The width of the central maximum diffraction pattern produced by a single slit will increase when

Accepted Answer

A)  the slit width decreases. 
B)  the slit width increases. 
C)  the wavelength decreases. 
D)  None of the previous answers is correct. 
A)  the slit width decreases. 
B)  the slit width increases. 
C)  the wavelength decreases. 
D)  None of the previous answers is correct.

Exam 35: Interference and Diffraction

The width of a principal maximum for a grating decreases with an increase in each of the following except

When light reflects from a thin film, the distance between the fringes depends on all of the following except

There is invariably a phase shift when light reflects from a surface such that the index of refraction in which the wave is propagating is

If two sources emit waves that are of the same frequencies and are in phase, the interference fringes produced will appear to the human eye to be

Direct observation of a standing wave pattern associated with light is difficult. The most relevant reason is that

When two pieces of glass are pressed together in air and illuminated with coherent light, the place where they are in contact will look

The critical angle for two objects 1 meter apart is 10−610 ^ { - 6 }10−6 radians. Estimate the wavelength of the light:

The explanation for the correct response to the previous question involves the two facts that red light has a wavelength that is

In designing a grating, the way to achieve a smaller angular spread from the maxima of each wavelength to the corresponding minima for two approximately equal wavelengths is to

A monochromatic source produces light at a wavelength of 510 nm in air. The wave then passes through water that has an index of refraction of 1.32. The wavelength of the wave in the water is

The angular separation between principal maxima for a grating consisting of 10,000 slits is 30º. The approximate angular width of the principal maxima is

The second angular minima location for a single-slit diffraction having slit width of 1.5μm1.5 \mu \mathrm { m }1.5μm and wavelength of 500 nm is

Find the critical angle for two objects 1 meter apart when viewed using 500-nm light (assume a circular aperture):

When light reflects from a thin film, the distance between adjacent bright regions of the fringes depends on the path difference being equal to the wavelength of the light times

In designing a grating, the way to achieve a larger angular separation of adjacent maxima for two approximately equal wavelengths is to

The intensity I \text { I } I of an electromagnetic wave (having electric field EEE ) is proportional to

In a Young's double-slit experiment, when (πd/λ)sin⁡θ( \pi d / \lambda ) \sin \theta(πd/λ)sinθ is a multiple of ( π(π,2π,3π)\pi ( \pi , 2 \pi , 3 \pi )π(π,2π,3π) ), the intensity at the viewing screen

When light reflects from a thin film, the distance between adjacent bright regions of the fringes depends on the film thickness being equal to the wavelength of the light times

The width of the central maximum diffraction pattern produced by a single slit will increase when

Space, Time, and Mass

Motion Along a Straight Line

Vectors

Motion in Two and Three Dimensions

Newtons Laws of Motion

Further Applications of Newtons Laws

Work and Energy

Conservation of Energy

Gravitation

Systems of Particles

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Dynamics of a Rigid Body

Statics and Elasticity

Oscillations

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Fluid Mechanics

The Ideal Gas

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Thermodynamics

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The Electric Field

Gauss Law

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The Theory of Special Relativity

Quanta of Light

Spectral Lines, Bohrs Theory, and Quantum Mechanics

Quantum Structure of Atoms, Molecules, and Solids

Nuclei

Elementary Particles and Cosmology

Filters

The critical angle for two objects 1 meter apart is $10 ^ { - 6 }$ radians. Estimate the wavelength of the light:

The second angular minima location for a single-slit diffraction having slit width of $1.5 \mu \mathrm { m }$ and wavelength of 500 nm is

The intensity $\text { I }$ of an electromagnetic wave (having electric field $E$ ) is proportional to

In a Young's double-slit experiment, when $( \pi d / \lambda ) \sin \theta$ is a multiple of ( $\pi ( \pi , 2 \pi , 3 \pi )$ ), the intensity at the viewing screen