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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:


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

F) B) and D)
G) B) and E)

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A diffraction pattern is produced on a viewing screen by illuminating a long narrow slit with light of wavelength λ\lambda . If the slit width is decreased and no other changes are made:


A) the intensity at the center of the pattern decreases and the pattern expands away from the bright center
B) the intensity at the center increases and the pattern contracts toward the bright center
C) the intensity at the center of the pattern does not change and the pattern expands away from the bright center
D) the intensity at the center of the pattern does not change and the pattern contracts toward the bright center
E) neither the intensity at the center of the pattern nor the pattern itself change

F) A) and B)
G) A) and C)

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


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

F) C) and D)
G) A) and B)

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


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) All lines of the 800-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) All of the lines of the 450-nm light coincide with lines of the 900-nm light

F) A) and D)
G) D) and E)

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In the equation ϕ\phi = (2 π\pi a/ λ\lambda ) sin θ\theta for single-slit diffraction, ϕ\phi is:


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

F) None of the above
G) A) and E)

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


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

F) A) and B)
G) A) and D)

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


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

F) A) and B)
G) B) and E)

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


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

F) C) and E)
G) B) and C)

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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) 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

F) All of the above
G) None of the above

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

F) A) and E)
G) A) and D)

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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 this phenomena involves:


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

F) C) and D)
G) None of the above

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Monochromatic light is normally incident on a diffraction grating. The mth order line is at a angle of diffraction angle θ\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:


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

F) A) and E)
G) A) and B)

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


A) the orders of the lines that appear are all multiples of 4
B) the orders of 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

F) B) and D)
G) B) and C)

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X rays are:


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

F) B) and C)
G) A) and E)

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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?


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

F) C) and D)
G) C) and E)

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Monochromatic plane waves of light are incident normally on a single slit. Which one of the five figures below correctly shows the diffraction pattern observed on a distant screen? Monochromatic plane waves of light are incident normally on a single slit. Which one of the five figures below correctly shows the diffraction pattern observed on a distant screen?   A)  I B)  II C)  III D)  IV E)  V


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

F) D) and E)
G) A) and E)

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An x-ray beam of wavelength 3 *10-11 m is incident on a calcite crystal of lattice spacing 0.3 nm. The smallest angle between crystal planes and the x-ray beam which will result in constructive interference is:


A) 2.87°
B) 5.73°
C) 11.63°
D) 23.27°
E) none of these

F) B) and D)
G) None of the above

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


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)

F) A) and B)
G) B) and E)

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Light of wavelength λ\lambda is normally incident on a diffraction grating G. On the screen S, the central line is at P and the first order line is at Q, as shown. The distance between adjacent slits in the grating is:  Light of wavelength  \lambda  is normally incident on a diffraction grating G. On the screen S, the central line is at P and the first order line is at Q, as shown. The distance between adjacent slits in the grating is:   A)  3 \lambda /5 B)  3 \lambda /4 C)  4 \lambda /5 D)  5 \lambda /4 E)  5 \lambda /3


A) 3 λ\lambda /5
B) 3 λ\lambda /4
C) 4 λ\lambda /5
D) 5 λ\lambda /4
E) 5 λ\lambda /3

F) B) and E)
G) C) and D)

Correct Answer

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


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

F) A) and D)
G) A) and B)

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