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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:


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

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The diagram shows a single slit with the direction to a point P on a distant screen shown. At P, the pattern has its second minimum (from its central maximum) . If X and Y are the edges of the slit, what is the path length difference (PX) - (PY) ?  The diagram shows a single slit with the direction to a point P on a distant screen shown. At P, the pattern has its second minimum (from its central maximum) . If X and Y are the edges of the slit, what is the path length difference (PX)  - (PY) ?   A)   \lambda /2 B)   \lambda  C)  3 \lambda /2 D)  2 \lambda  E)  5 \lambda /2


A) λ\lambda /2
B) λ\lambda
C) 3 λ\lambda /2
D) 2 λ\lambda
E) 5 λ\lambda /2

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If we increase the wavelength of the light used to form a double-slit diffraction pattern:


A) the width of the central diffraction peak increases and the number of bright fringes within the peak increases
B) the width of the central diffraction peak increases and the number of bright fringes with the peak decreases
C) the width of the central diffraction peak decreases and the number of bright fringes within the peak increases
D) the width of the central diffraction peak decreases and the number of bright fringes within the peak decreases
E) the width of the central diffraction peak increases and the number of bright fringes within the peak stays the same

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Two wavelengths, 800 nm and 600 nm, are used separately in single-slit diffraction experiments. The diagram shows the intensities on a far-away viewing screen as function of the angle made by the rays with the straight-ahead direction. If both wavelengths are then used simultaneously, at which angle is the light on the screen purely 800-nm light? Two wavelengths, 800 nm and 600 nm, are used separately in single-slit diffraction experiments. The diagram shows the intensities on a far-away viewing screen as function of the angle made by the rays with the straight-ahead direction. If both wavelengths are then used simultaneously, at which angle is the light on the screen purely 800-nm light?   A)  A B)  B C)  C D)  D E)  E


A) A
B) B
C) C
D) D
E) E

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If white light is incident on a diffraction grating:


A) the first order lines for all visible wavelengths occur at smaller diffraction angles than any of the second order lines
B) some first order lines overlap the second order lines if the ruling separation is small but do not if it is large
C) some first order lines overlap second order lines if the ruling separation is large but do not if it is small
D) some first order lines overlap second order lines no matter what the ruling separation
E) first and second order lines have the same range of diffraction angles

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At the second minimum adjacent to the central maximum of a single-slit diffraction pattern the Huygens wavelet from the top of the slit is 180 °\degree out of phase with the wavelet from:


A) a point one-fourth of the slit width from the top
B) the midpoint of the slit
C) a point one-fourth of the slit width from the bottom of the slit
D) the bottom of the slit
E) none of these

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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

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The resolving power of a telescope can be increased by:


A) increasing the objective focal length and decreasing the eyepiece focal length
B) increasing the lens diameters
C) decreasing the lens diameters
D) inserting a correction lens between objective and eyepiece
E) none of the above

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Diffraction plays an important role in which of the following phenomena?


A) The sun appears as a disk rather than a point to the naked eye
B) Light is bent as it passes through a glass prism
C) A cheerleader yells through a megaphone
D) A farsighted person uses eyeglasses of positive focal length
E) A thin soap film exhibits colors when illuminated with white light

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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

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The dispersion of a diffraction grating indicates:


A) the resolution of the grating
B) the separation of lines of the same order
C) the number of rulings in the grating
D) the width of the lines
E) the separation of lines of different order for the same wavelength

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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

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The widths of the lines produced by monochromatic light falling on a diffraction grating can be reduced by:


A) increasing the wavelength of the light
B) increasing the number of rulings without changing their spacing
C) decreasing the spacing between adjacent rulings without changing the number of rulings
D) decreasing both the wavelength and the spacing between rulings by the same factor
E) increasing the number of rulings and decreasing their spacing so the length of the grating remains the same

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A light spectrum is formed on a screen using a diffraction grating. The entire apparatus (source, grating and screen) is now immersed in a liquid of index 1.33. As a result, the pattern on the screen:


A) remains the same
B) spreads out
C) crowds together
D) becomes reversed, with the previously blue end becoming red
E) disappears because the index isn't an integer

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When 450-nm light is incident normally on a certain double-slit system the number of interference maxima within the central diffraction maximum is 5. When 900-nm light is incident on the same slit system the number is:


A) 2
B) 3
C) 5
D) 9
E) 10

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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

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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

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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

Correct Answer

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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 λ\lambda is increased 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 of the pattern 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

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In a double-slit diffraction experiment the number of interference fringes within the central diffraction maximum can be increased by:


A) increasing the wavelength
B) decreasing the wavelength
C) increasing the slit separation
D) decreasing the slit width
E) increasing the slit width

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