Question 1

600-nm light is incident on a defraction grating with a ruling separation of 1.7*10-6 m. The second order line occurs at a diffraction angle of:

Accepted Answer

A)  0 
B)  10  $\degree$ 
C)  21  $\degree$ 
D)  42  $\degree$ 
E)  45  $\degree$ 
A)  0 
B)  10  $\degree$ 
C)  21  $\degree$ 
D)  42  $\degree$ 
E)  45  $\degree$ E

Question 2

At a diffraction line phasors associated with waves from the slits of a multiple-slit barrier:

Accepted Answer

A)  are aligned 
B)  form a closed polygon 
C)  form a polygon with several sides missing 
D)  are parallel but adjacent phasors point in opposite directions 
E)  form the arc of a circle 
A)  are aligned 
B)  form a closed polygon 
C)  form a polygon with several sides missing 
D)  are parallel but adjacent phasors point in opposite directions 
E)  form the arc of a circle A

Question 3

Two nearly equal wavelengths of light are incident on an N slit grating. The two wavelengths are not resolvable. When N is increased they become resolvable. This is because:

Accepted Answer

A)  more light gets through the grating 
B)  the lines get more intense 
C)  the entire pattern spreads out 
D)  there are more orders present 
E)  the lines become more narrow 
A)  more light gets through the grating 
B)  the lines get more intense 
C)  the entire pattern spreads out 
D)  there are more orders present 
E)  the lines become more narrow E

Question 4

A diffraction grating just resolves the wavelengths 400.0 nm and 400.1 nm in first order. The number of slits in the grating is:

Accepted Answer

A)  400 
B)  1000 
C)  2500 
D)  4000 
E)  not enough information is given 
A)  400 
B)  1000 
C)  2500 
D)  4000 
E)  not enough information is given

Question 5

A student wishes to produce a single-slit diffraction pattern in a ripple tank experiment. He considers the following parameters:   Which two of the above should be decreased to produce more bending?

Accepted Answer

A)  I, III 
B)  I, IV 
C)  II, III 
D)  II, IV 
E)  III, IV 
A)  I, III 
B)  I, IV 
C)  II, III 
D)  II, IV 
E)  III, IV

Question 6

Sound differs from light in that sound:

Accepted Answer

A)  is not subject to diffraction 
B)  is a torsional wave rather than a longitudinal wave 
C)  does not require energy for its origin 
D)  is a longitudinal wave rather than a transverse wave 
E)  is always monochromatic 
A)  is not subject to diffraction 
B)  is a torsional wave rather than a longitudinal wave 
C)  does not require energy for its origin 
D)  is a longitudinal wave rather than a transverse wave 
E)  is always monochromatic

Question 7

What is the minimum number of slits required in a deffraction grating to just resolve light with wavelengths of 471.0 nm and 471.6 nm?

Accepted Answer

A)  99 
B)  197 
C)  393 
D)  786 
E)  1179 
A)  99 
B)  197 
C)  393 
D)  786 
E)  1179

Question 8

Bragg's law for x-ray diffraction is 2d sin$\theta$ = m$\lambda$, where $\theta$ is the angle between the incident beam and:

Accepted Answer

A)  a reflecting plane of atoms 
B)  the normal to a reflecting plane of atoms 
C)  the scattered beam 
D)  the normal to the scattered beam 
E)  the refracted beam 
A)  a reflecting plane of atoms 
B)  the normal to a reflecting plane of atoms 
C)  the scattered beam 
D)  the normal to the scattered beam 
E)  the refracted beam

Question 9

In order to obtain a good single-slit diffraction pattern, the slit width could be:

Accepted Answer

A)  $\lambda$ 
B)  $\lambda$/10 
C)  10$\lambda$ 
D)  104$\lambda$ 
E)  $\lambda$/104 
A)  $\lambda$ 
B)  $\lambda$/10 
C)  10$\lambda$ 
D)  104$\lambda$ 
E)  $\lambda$/104

Question 10

X rays are:

Accepted Answer

A)  electromagnetic waves 
B)  negatively charged ions 
C)  rapidly moving electrons 
D)  rapidly moving protons 
E)  rapidly moving neutrons 
A)  electromagnetic waves 
B)  negatively charged ions 
C)  rapidly moving electrons 
D)  rapidly moving protons 
E)  rapidly moving neutrons

Question 11

In a single-slit diffraction pattern, the central maximum is about twice as wide as the other maxima. This is because:

Accepted Answer

A)  half the light is diffracted up and half is diffracted down 
B)  the central maximum has both electric and magnetic fields present 
C)  the small angle approximation applies only near the central maximum 
D)  the screen is flat instead of spherical 
E)  none of the above 
A)  half the light is diffracted up and half is diffracted down 
B)  the central maximum has both electric and magnetic fields present 
C)  the small angle approximation applies only near the central maximum 
D)  the screen is flat instead of spherical 
E)  none of the above

Question 12

A beam of x-rays of wavelength 0.20 nm is diffracted by a set of planes in a crystal whose separation is 3.1* 10-8 cm. The smallest angle between the beam and the crystal planes for which a reflection occurs is:

Accepted Answer

A)  0.70 rad 
B)  0.33 rad 
C)  0.033 rad 
D)  0.066 rad 
E)  no such angle exists 
A)  0.70 rad 
B)  0.33 rad 
C)  0.033 rad 
D)  0.066 rad 
E)  no such angle exists

Question 13

A diffraction grating of width W produces a deviation $\theta$ in second order for light of wavelength $\lambda$. The total number N of slits in the grating is given by:

Accepted Answer

A)  2W$\lambda$/sin$\theta$ 
B)  (W/$\lambda$)sin$\theta$ 
C)  $\lambda$W/2sin$\theta$ 
D)  (W/2$\lambda$)sin$\theta$ 
E)  2$\lambda$/sin$\theta$ 
A)  2W$\lambda$/sin$\theta$ 
B)  (W/$\lambda$)sin$\theta$ 
C)  $\lambda$W/2sin$\theta$ 
D)  (W/2$\lambda$)sin$\theta$ 
E)  2$\lambda$/sin$\theta$

Question 14

In the equation d sin$\theta$= m$\lambda$ for the lines of a diffratction grating m is:

Accepted Answer

A)  the number of slits 
B)  the slit width 
C)  the slit separation 
D)  the order of the line 
E)  the index of refraction 
A)  the number of slits 
B)  the slit width 
C)  the slit separation 
D)  the order of the line 
E)  the index of refraction

Question 15

A diffraction-limited laser of length   and aperture diameter d generates light of wavelength $\lambda$. If the beam is directed at the surface of the Moon a distance D away, the radius of the illuminated area on the moon is approximately:

Accepted Answer

A)    
B)  dD/$\lambda$ 
C)    
D)  D$\lambda$/d 
E)    
A)    
B)  dD/$\lambda$ 
C)    
D)  D$\lambda$/d 
E)

Question 16

In the equation sin$\theta$ = $\lambda$/a for single-slit diffraction, $\theta$ is:

Accepted Answer

A)  the angle to the first minimum 
B)  the angle to the second maximum 
C)  the phase angle between the extreme rays 
D)  N$\pi$ where N is an integer 
E)  (N + 1/2)$\pi$ where N is an integer 
A)  the angle to the first minimum 
B)  the angle to the second maximum 
C)  the phase angle between the extreme rays 
D)  N$\pi$ where N is an integer 
E)  (N + 1/2)$\pi$ where N is an integer

Question 17

Figure (i) shows a double-slit pattern obtained using monochromatic light. Consider the following five possible changes in conditions:   Which of the above would change Figure (i) into Figure (ii)?

Accepted Answer

A)  3 only 
B)  5 only 
C)  1 and 3 only 
D)  1 and 5 only 
E)  2 and 4 only 
A)  3 only 
B)  5 only 
C)  1 and 3 only 
D)  1 and 5 only 
E)  2 and 4 only

Question 18

Radio waves are readily diffracted around buildings whereas light waves are negligibly diffracted around buildings. This is because radio waves:

Accepted Answer

A)  are plane polarized 
B)  have much longer wavelengths than light waves 
C)  have much shorter wavelengths than light waves 
D)  are nearly monochromatic (single frequency) 
E)  are amplitude modulated (AM) 
A)  are plane polarized 
B)  have much longer wavelengths than light waves 
C)  have much shorter wavelengths than light waves 
D)  are nearly monochromatic (single frequency) 
E)  are amplitude modulated (AM)

Question 19

As more slits with the same spacing are added to a multiple-slit system the lines:

Accepted Answer

A)  spread further apart 
B)  move closer together 
C)  become wider 
D)  becomes narrower 
E)  do not change in position or width 
A)  spread further apart 
B)  move closer together 
C)  become wider 
D)  becomes narrower 
E)  do not change in position or width

Question 20

The largest x-ray wavelength that can be diffracted by crystal planes with a separation of 0.316 nm is:

Accepted Answer

A)  0.158 nm 
B)  0.316 nm 
C)  0.474 nm 
D)  0.632 nm 
E)  1.26 nm 
A)  0.158 nm 
B)  0.316 nm 
C)  0.474 nm 
D)  0.632 nm 
E)  1.26 nm

Exam 36: Diffraction

600-nm light is incident on a defraction grating with a ruling separation of 1.7*10-6 m. The second order line occurs at a diffraction angle of:

At a diffraction line phasors associated with waves from the slits of a multiple-slit barrier:

Two nearly equal wavelengths of light are incident on an N slit grating. The two wavelengths are not resolvable. When N is increased they become resolvable. This is because:

A diffraction grating just resolves the wavelengths 400.0 nm and 400.1 nm in first order. The number of slits in the grating is:

A student wishes to produce a single-slit diffraction pattern in a ripple tank experiment. He considers the following parameters: Which two of the above should be decreased to produce more bending?

Sound differs from light in that sound:

What is the minimum number of slits required in a deffraction grating to just resolve light with wavelengths of 471.0 nm and 471.6 nm?

Bragg's law for x-ray diffraction is 2d sin θ\thetaθ = m λ\lambdaλ , where θ\thetaθ is the angle between the incident beam and:

In order to obtain a good single-slit diffraction pattern, the slit width could be:

X rays are:

In a single-slit diffraction pattern, the central maximum is about twice as wide as the other maxima. This is because:

A beam of x-rays of wavelength 0.20 nm is diffracted by a set of planes in a crystal whose separation is 3.1* 10-8 cm. The smallest angle between the beam and the crystal planes for which a reflection occurs is:

A diffraction grating of width W produces a deviation θ\thetaθ in second order for light of wavelength λ\lambdaλ . The total number N of slits in the grating is given by:

In the equation d sin θ\thetaθ = m λ\lambdaλ for the lines of a diffratction grating m is:

A diffraction-limited laser of length and aperture diameter d generates light of wavelength λ\lambdaλ . If the beam is directed at the surface of the Moon a distance D away, the radius of the illuminated area on the moon is approximately:

In the equation sin θ\thetaθ = λ\lambdaλ /a for single-slit diffraction, θ\thetaθ is:

Figure (i) shows a double-slit pattern obtained using monochromatic light. Consider the following five possible changes in conditions: Which of the above would change Figure (i) into Figure (ii)?

Radio waves are readily diffracted around buildings whereas light waves are negligibly diffracted around buildings. This is because radio waves:

As more slits with the same spacing are added to a multiple-slit system the lines:

The largest x-ray wavelength that can be diffracted by crystal planes with a separation of 0.316 nm is:

Measurement

Motion Along a Straight Line

Vector

Motion in Two and Three Dimensions

Force and Motion I

Force and Motion II

Kinetic Energy and Work

Potential Energy and Conservation of Energy

Center of Mass and Linear Momentum

Rotation

Rolling, Torque, and Angular Momentum

Equilibrium and Elasticity

Gravitation

Fluids

Oscillations

Waves I

Waves II

Temperature, Heat, and the First Law of Thermodynamics

The Kinetic Theory of Gases

Entropy and the Second Law of Thermodynamics

Electric Charge

Electric Fields

Gauss Law

Electric Potential

Capacitance

Current and Resistance

Circuits

Magnetic Fields

Magnetic Fields Due to Currents

Induction and Inductance

Electromagnetic Oscillations and Alternating Current

Maxwells Equations; Magnetism of Matter

Electromagnetic Waves

Images

Interference

Relativity

Photons and Matter Waves

More About Matter Waves

All About Atoms

Conduction of Electricity in Solids

Nuclear Physics

Energy From the Nucleus

Quarks, Leptons, and the Big Bang

Filters

600-nm light is incident on a defraction grating with a ruling separation of 1.7*10^-⁶ m. The second order line occurs at a diffraction angle of:

Bragg's law for x-ray diffraction is 2d sin $\theta$ = m $\lambda$ , where $\theta$ is the angle between the incident beam and:

A beam of x-rays of wavelength 0.20 nm is diffracted by a set of planes in a crystal whose separation is 3.1* 10^-⁸ cm. The smallest angle between the beam and the crystal planes for which a reflection occurs is:

A diffraction grating of width W produces a deviation $\theta$ in second order for light of wavelength $\lambda$ . The total number N of slits in the grating is given by:

In the equation d sin $\theta$ = m $\lambda$ for the lines of a diffratction grating m is:

In the equation sin $\theta$ = $\lambda$ /a for single-slit diffraction, $\theta$ is: