Exam 22: Electromagnetic Waves

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A concave mirror having a focal length of magnitude 5.0 cm forms an image 4.0 cm behind the mirror. Where is the object for this image?

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A double-convex thin glass lens has equal-magnitude radii of curvature. The focal length of the Iens is +37.3 cm+ 37.3 \mathrm {~cm} and the index of refraction of the glass is 1.521.52 . What is the magnitude of the radius of curvature of each convex surface?

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A beam of light in water (of refractive index of 1.331.33 ) enters a glass slab (of refractive index 1.501.50 ) at an angle of incidence of 60.0∘60.0 ^ { \circ } . What is the angle of refraction in the glass?

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A thin flashlight beam traveling in air strikes a glass plate at an angle of 52∘52 ^ { \circ } with the plane of the surface of the plate. If the index of refraction of the glass is 1.41.4 , what angle will the beam make with the normal in the glass?

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Tan's face is 20 cm in front of a concave shaving mirror. If he observes his image to be twice as big and upright, what is the focal length of the mirror?

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Single convex spherical mirrors produce images that

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A tank holds a layer of oil, of thickness TO=1.65 mT _ { \mathrm { O } } = 1.65 \mathrm {~m} , that floats on a layer of syrup of thickness TS=T _ { \mathrm { S } } = 0.830 m0.830 \mathrm {~m} , as shown in the figure. Both liquids are clear and do not mix together. A light ray, originating at the bottom of the tank at point PP , crosses the oil-syrup interface at a point 0.900 m0.900 \mathrm {~m} from the axis. The ray continues and arrives at the oil-air interface, 2.00 m2.00 \mathrm {~m} to the right of PP and at the critical angle. What is the index of refraction of the syrup?  A tank holds a layer of oil, of thickness  T _ { \mathrm { O } } = 1.65 \mathrm {~m} , that floats on a layer of syrup of thickness  T _ { \mathrm { S } } =   0.830 \mathrm {~m} , as shown in the figure. Both liquids are clear and do not mix together. A light ray, originating at the bottom of the tank at point  P , crosses the oil-syrup interface at a point  0.900 \mathrm {~m}  from the axis. The ray continues and arrives at the oil-air interface,  2.00 \mathrm {~m}  to the right of  P  and at the critical angle. What is the index of refraction of the syrup?

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