Question 1

The shimmering or wavy lines that can often be seen near the ground on a hot day are due to:

Accepted Answer

A)  Brownian movement 
B)  reflection 
C)  refraction 
D)  diffraction 
E)  dispersion 
A)  Brownian movement 
B)  reflection 
C)  refraction 
D)  diffraction 
E)  dispersion

Question 2

The rainbow seen after a rain shower is caused by:

Accepted Answer

A)  diffraction 
B)  interference 
C)  refraction 
D)  polarization 
E)  absorption 
A)  diffraction 
B)  interference 
C)  refraction 
D)  polarization 
E)  absorption

Question 3

A mixture of 450-nm and 900-nm light is incident on a multiple-slit system. Which of the following is true?

Accepted Answer

A)  All lines of the 900-nm light coincide with lines of the 450-nm light 
B)  All lines of the 450-nm light coincide with lines of the 900-nm light 
C)  None of the lines of the 900-nm light coincide with lines of the 450-nm light 
D)  None of the lines of the 450-nm light coincide with lines of the 900-nm light 
E)  None of the above 
A)  All lines of the 900-nm light coincide with lines of the 450-nm light 
B)  All lines of the 450-nm light coincide with lines of the 900-nm light 
C)  None of the lines of the 900-nm light coincide with lines of the 450-nm light 
D)  None of the lines of the 450-nm light coincide with lines of the 900-nm light 
E)  None of the above

Question 4

For a certain multiple-slit barrier the slit separation is 4 times the slit width. For this system:

Accepted Answer

A)  the orders of the lines that appear are all multiples of 4 
B)  the orders of the lines that appear are all multiples of 2 
C)  the orders of the missing lines are all multiples of 4 
D)  the orders of the missing lines are all multiples of 2 
E)  none of the above are true 
A)  the orders of the lines that appear are all multiples of 4 
B)  the orders of the lines that appear are all multiples of 2 
C)  the orders of the missing lines are all multiples of 4 
D)  the orders of the missing lines are all multiples of 2 
E)  none of the above are true

Question 5

When the atmosphere is not quite clear, one may sometimes see colored circles concentric with the Sun or the Moon. These are generally not more than a few diameters of the Sun or Moon and invariably the innermost ring is blue. The explanation for these phenomena involves:

Accepted Answer

A)  reflection 
B)  refraction 
C)  interference 
D)  diffraction 
E)  Doppler effect 
A)  reflection 
B)  refraction 
C)  interference 
D)  diffraction 
E)  Doppler effect

Question 6

The spacing between adjacent slits on a diffraction grating is 3$\lambda$. The deviation $\theta$ of the first order diffracted beam is given by:

Accepted Answer

A)  sin($\theta$ /2) = 1/3 
B)  sin($\theta$ /3) = 2/3 
C)  sin($\theta$ ) = 1/3 
D)  tan($\theta$ /2) = 1/3 
E)  tan($\theta$ ) = 2/3 
A)  sin($\theta$ /2) = 1/3 
B)  sin($\theta$ /3) = 2/3 
C)  sin($\theta$ ) = 1/3 
D)  tan($\theta$ /2) = 1/3 
E)  tan($\theta$ ) = 2/3

Question 7

Two slits in an opaque barrier each have a width of 0.020 mm and are separated by 0.050 mm. When coherent monochromatic light passes through the slits the number of interference maxima within the central diffraction maximum:

Accepted Answer

A)  is 1 
B)  is 2 
C)  is 4 
D)  is 5 
E)  cannot be determined unless the wavelength is given 
A)  is 1 
B)  is 2 
C)  is 4 
D)  is 5 
E)  cannot be determined unless the wavelength is given

Question 8

Monochromatic light is normally incident on a diffraction grating. The mth order line is at an angle of diffraction $\theta$and has width w. A wide single slit is now placed in front of the grating and its width is then slowly reduced. As a result:

Accepted Answer

A)  both$\theta$and w increase 
B)  both $\theta$and w decrease 
C)  $\theta$remains the same and w increases 
D)  $\theta$remains the same and w decreases 
E)  $\theta$decreases and w increases 
A)  both$\theta$and w increase 
B)  both $\theta$and w decrease 
C)  $\theta$remains the same and w increases 
D)  $\theta$remains the same and w decreases 
E)  $\theta$decreases and w increases

Question 9

In the equation d sin$\theta$= m$\lambda$ for the lines of a diffraction 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 10

Two stars that are close together are photographed through a telescope. The black and white film is equally sensitive to all colors. Which situation would result in the most clearly separated images of the stars?

Accepted Answer

A)  Small lens, red stars 
B)  Small lens, blue stars 
C)  Large lens, red stars 
D)  Large lens, blue stars 
E)  Large lens, one star red and the other blue 
A)  Small lens, red stars 
B)  Small lens, blue stars 
C)  Large lens, red stars 
D)  Large lens, blue stars 
E)  Large lens, one star red and the other blue

Question 11

In order to obtain a single-slit diffraction pattern with a central maximum and several secondary maxima, 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 12

When light of a certain wavelength is incident normally on a certain diffraction grating the line of order 1 is at a diffraction angle of 25$\degree$. The diffraction angle for the second order line is:

Accepted Answer

A)  25$\degree$ 
B)  42$\degree$ 
C)  50$\degree$ 
D)  58$\degree$ 
E)  75$\degree$ 
A)  25$\degree$ 
B)  42$\degree$ 
C)  50$\degree$ 
D)  58$\degree$ 
E)  75$\degree$

Question 13

At the first minimum adjacent to the central maximum of a single-slit diffraction pattern the phase difference between the Huygens wavelet from the top of the slit and the wavelet from the midpoint of the slit is:

Accepted Answer

A)  $\pi$/8 rad 
B)   $\pi$/4 rad 
C)   $\pi$/2 rad 
D)   $\pi$rad 
E)  3 $\pi$/2 rad 
A)  $\pi$/8 rad 
B)   $\pi$/4 rad 
C)   $\pi$/2 rad 
D)   $\pi$rad 
E)  3 $\pi$/2 rad

Question 14

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

Accepted Answer

A)  the number of slits 
B)  the slit width 
C)  the slit separation 
D)  the order of the line 
E)  the path length difference 
A)  the number of slits 
B)  the slit width 
C)  the slit separation 
D)  the order of the line 
E)  the path length difference

Question 15

In the equation d sin$\theta$= m$\lambda$for the lines of a diffraction grating, d 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 16

Monochromatic plane waves of light are incident normally on a single slit. Which one of the five figures below most correctly shows the diffraction pattern observed on a distant screen?

Accepted Answer

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

Question 17

A diffraction-limited laser of length ℓ 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)  dD/ ℓ 
B)  dD/$\lambda$ 
C)  D$\lambda$/ ℓ 
D)  D$\lambda$/d 
E)  ℓ$\lambda$/d 
A)  dD/ ℓ 
B)  dD/$\lambda$ 
C)  D$\lambda$/ ℓ 
D)  D$\lambda$/d 
E)  ℓ$\lambda$/d

Exam 36: Diffraction

The shimmering or wavy lines that can often be seen near the ground on a hot day are due to:

The rainbow seen after a rain shower is caused by:

A mixture of 450-nm and 900-nm light is incident on a multiple-slit system. Which of the following is true?

For a certain multiple-slit barrier the slit separation is 4 times the slit width. For this system:

When the atmosphere is not quite clear, one may sometimes see colored circles concentric with the Sun or the Moon. These are generally not more than a few diameters of the Sun or Moon and invariably the innermost ring is blue. The explanation for these phenomena involves:

The spacing between adjacent slits on a diffraction grating is 3 λ\lambdaλ . The deviation θ\thetaθ of the first order diffracted beam is given by:

Two slits in an opaque barrier each have a width of 0.020 mm and are separated by 0.050 mm. When coherent monochromatic light passes through the slits the number of interference maxima within the central diffraction maximum:

Monochromatic light is normally incident on a diffraction grating. The mth order line is at an angle of diffraction θ\thetaθ and has width w. A wide single slit is now placed in front of the grating and its width is then slowly reduced. As a result:

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

Two stars that are close together are photographed through a telescope. The black and white film is equally sensitive to all colors. Which situation would result in the most clearly separated images of the stars?

In order to obtain a single-slit diffraction pattern with a central maximum and several secondary maxima, the slit width could be:

When light of a certain wavelength is incident normally on a certain diffraction grating the line of order 1 is at a diffraction angle of 25 °\degree° . The diffraction angle for the second order line is:

At the first minimum adjacent to the central maximum of a single-slit diffraction pattern the phase difference between the Huygens wavelet from the top of the slit and the wavelet from the midpoint of the slit is:

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

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

Monochromatic plane waves of light are incident normally on a single slit. Which one of the five figures below most correctly shows the diffraction pattern observed on a distant screen?

A diffraction-limited laser of length ℓ 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:

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The spacing between adjacent slits on a diffraction grating is 3 $\lambda$ . The deviation $\theta$ of the first order diffracted beam is given by:

Monochromatic light is normally incident on a diffraction grating. The m^th order line is at an angle of diffraction $\theta$ and has width w. A wide single slit is now placed in front of the grating and its width is then slowly reduced. As a result:

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

When light of a certain wavelength is incident normally on a certain diffraction grating the line of order 1 is at a diffraction angle of 25 $\degree$ . The diffraction angle for the second order line is:

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

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

A diffraction-limited laser of length ℓ 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: