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"To find the value of the resultant displacement for overlapping waves at any point at a particular instant, it is only necessary to add the values of the displacements for the individual waves." This is a statement of


A) Huygens' principle.
B) the principle of superposition.
C) Bernoulli's principle.
D) the principle of dispersion.
E) Newton's theory of light.

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

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An "X" is marked on the bottom of a glass container. A microscope is adjusted so that it is focused on the "X." A liquid is now poured into the glass to a depth of 6.00 cm. If the microscope has to be backed up by a distance of 1.50 cm to refocus on the "X," then calculate the refractive index of the liquid.


A) 1.25
B) 4.00
C) 1.33
D) 0.75
E) 3.00

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

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Light that has been traveling in a medium with an index of refraction n2 is incident on the boundary surface of another medium with an index of refraction n1. Given a sufficient angle of incidence, which of the following conditions must be satisfied for total internal reflection to occur?


A) n1 < n2
B) n1 > n2
C) n1 = n2
D) Any of these may be correct.
E) None of these is correct.

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

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Use the following figure below for the next three problems  Use the following figure below for the next three problems   The figure shows a cross-section of a fiber optic. -A fiber optic is made by cladding a thin fiber core of refractive index n<sub>1</sub> = 1.45 with a material of refractive index n<sub>2</sub> = 1.38. What is the critical angle,  \theta <sub>c</sub>, at the core-cladding interface? A)  44º B)  46º C)  55º D)  72º E)  None of these is correct. The figure shows a cross-section of a fiber optic. -A fiber optic is made by cladding a thin fiber core of refractive index n1 = 1.45 with a material of refractive index n2 = 1.38. What is the critical angle, θ\theta c, at the core-cladding interface?


A) 44º
B) 46º
C) 55º
D) 72º
E) None of these is correct.

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

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   A ray of monochromatic light in air falls on the upper surface of two parallel-sided slabs of transparent material, as shown in the diagram. The angle of refraction  \phi   in the lower slab is approximately A)  22º B)  30º C)  37º D)  53º E)  60º A ray of monochromatic light in air falls on the upper surface of two parallel-sided slabs of transparent material, as shown in the diagram. The angle of refraction ϕ\phi in the lower slab is approximately


A) 22º
B) 30º
C) 37º
D) 53º
E) 60º

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

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The wavelength of green light in air is 500 nm. The wavelength of this light in glass of index of refraction 1.60 is approximately


A) 313 nm
B) 500 nm
C) 750 nm
D) 800 nm
E) 427 nm

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

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   A plane wavefront of light (AA')  approaches an air-water interface as shown. n < n'. The refracted wave is best represented by A)  1 B)  2 C)  3 D)  4 E)  None of these is correct. There is no refraction because  \theta  is less than the angle of total internal reflection. A plane wavefront of light (AA') approaches an air-water interface as shown. n < n'. The refracted wave is best represented by


A) 1
B) 2
C) 3
D) 4
E) None of these is correct. There is no refraction because θ\theta is less than the angle of total internal reflection.

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

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Communications satellites are usually placed in geosynchronous orbits, a distance of 4.43 * 107 m from the center of Earth. What is the time lag for a signal sent from one point on Earth's surface to another via such a satellite? (The radius of Earth RE = 6.370 *106 m.)


A) 0.13 s
B) 0.25 s
C) 0.51 s
D) 0.29 s
E) 0.15 s

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

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Sound waves differ from light waves in many respects. One important difference is that sound waves cannot


A) be refracted.
B) be reflected.
C) show interference.
D) show diffraction.
E) be polarized.

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

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Mission Control sends a brief wake-up call to astronauts in a distant spaceship. Five seconds after the call is sent, Mission Control hears the waking groans of the astronauts. How far away (at most) from Earth is the spaceship?


A) 7.5 * 108 m
B) 15 *108 m
C) 30 * 108 m
D) 45 * 108 m
E) The spaceship is on the moon.

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

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  If the incident beam in the figure is unpolarized and the reflected beam is completely plane polarized, the index of refraction of the glass must be A)  1.16 B)  1.33 C)  1.56 D)  1.73 E)  2.00 If the incident beam in the figure is unpolarized and the reflected beam is completely plane polarized, the index of refraction of the glass must be


A) 1.16
B) 1.33
C) 1.56
D) 1.73
E) 2.00

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

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From directly above, you're watching a fish swim 1.83 m beneath the surface of a clear lake (n = 1.33) . How far beneath the surface does the fish seem to be?


A) 0.914 m
B) 1.37 m
C) 1.83 m
D) 2.44 m
E) 2.93 m

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

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   The angle of incidence  \theta <sub>1</sub><sub> </sub> that will cause the unpolarized light to be reflected as completely plane-polarized light is called A)  Brewster's angle. B)  Young's angle. C)  Snells's angle. D)  Huygens' angle. E)  Fraunhofer's angle. The angle of incidence θ\theta 1 that will cause the unpolarized light to be reflected as completely plane-polarized light is called


A) Brewster's angle.
B) Young's angle.
C) Snells's angle.
D) Huygens' angle.
E) Fraunhofer's angle.

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

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Use the following figure below for the next three problems  Use the following figure below for the next three problems   The figure shows a cross-section of a fiber optic. -A fiber optic is made by cladding a thin fiber core of refractive index n<sub>1</sub> = 1.45 with a material of refractive index n<sub>2</sub> = 1.38. What is the maximum incident angle,  \theta , so that the light ray is totally internally reflected inside the fiber? A)  24.1º B)  26.4º C)  28.2º D)  30.3º E)  32.7º The figure shows a cross-section of a fiber optic. -A fiber optic is made by cladding a thin fiber core of refractive index n1 = 1.45 with a material of refractive index n2 = 1.38. What is the maximum incident angle, θ\theta , so that the light ray is totally internally reflected inside the fiber?


A) 24.1º
B) 26.4º
C) 28.2º
D) 30.3º
E) 32.7º

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

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   A ray of light traveling in air enters the end of a rectangular block of a material that has an idex of refraction n = 1.35. The largest value of the angle  \theta  for which total internal reflection occurs at the upper surface of the material is approximately A)  75º B)  48º C)  56º D)  78º E)  None of these is correct. A ray of light traveling in air enters the end of a rectangular block of a material that has an idex of refraction n = 1.35. The largest value of the angle θ\theta for which total internal reflection occurs at the upper surface of the material is approximately


A) 75º
B) 48º
C) 56º
D) 78º
E) None of these is correct.

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

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Light is incident at an angle of 60 °\degree at an air to glass interface. If the angle of refraction inside the glass is 32 °\degree , then calculate the speed of light within the glass.


A) 3.00 * 108 m/s
B) 1.77 * 108 m/s
C) 4.90 * 108 m/s
D) 1.84 * 108 m/s
E) 1.62 * 108 m/s

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

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A 6 °\degree prism has a refractive index of 1.52. Calculate the angle of incidence for the initial light ray that is then refracted inside the prism and just undergoes total internal reflection at the opposite face of the prism.


A) 41.1 °\degree
B) 18.9 °\degree
C) 29.4 °\degree
D) 30.6 °\degree
E) 60.6 °\degree

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

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The optical phenomenon that is usually cited as demonstrating the transverse wave nature of light is


A) dispersion
B) interference
C) reflection
D) polarization
E) refraction

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

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Use the following figure below for the next three problems  Use the following figure below for the next three problems   The figure shows a cross-section of a fiber optic. -A fiber optic is made by cladding a thin fiber core of refractive index n<sub>1</sub> = 1.45 with a material of refractive index n<sub>2</sub> = 1.38. The numerical aperture of a fiber optic is defined as NA = n<sub>air</sub> sin  \theta <sub>m</sub>, where  \theta <sub>m</sub> is the maximum incident angle so that the light ray is totally internally reflected inside the fiber. The NA for the fiber is A)  0.445 B)  0.614 C)  0.645 D)  0.407 E)  0.470 The figure shows a cross-section of a fiber optic. -A fiber optic is made by cladding a thin fiber core of refractive index n1 = 1.45 with a material of refractive index n2 = 1.38. The numerical aperture of a fiber optic is defined as NA = nair sin θ\theta m, where θ\theta m is the maximum incident angle so that the light ray is totally internally reflected inside the fiber. The NA for the fiber is


A) 0.445
B) 0.614
C) 0.645
D) 0.407
E) 0.470

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

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Two polarizers have their transmission axes at an angle θ\theta . Unpolarized light of intensity I is incident on the first polarizer. What is the intensity of the light transmitted by the second polarizer?


A) I cos2 θ\theta
B) 0.5I cos2 θ\theta
C) 0.25I cos2 θ\theta
D) I cos θ\theta
E) 0.25I cos θ\theta

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

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