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33R please circle the answer 9. [0/1 Points] DETAILS PREVIOUS ANSWERS WAUNIPHYSAV1 33.P.034. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose you are using total

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9. [0/1 Points] DETAILS PREVIOUS ANSWERS WAUNIPHYSAV1 33.P.034. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose you are using total internal reflection to make an efficient corner reflector, such as the one shown in the figure below. If there is air outside and the incident angle 01 is 53.40, what must be the minimum index of refraction of the material from which the reflector is made? 1.25 X Can you write Snell's law for the cases where the angle of incidence in the material is 01 and 02, respectively? How are 01 and 02 related? Which case of total internal reflection is critical to the determination of the index of refraction of the material? How is the critical angle for the material related to the angle of incidence in the material? Submit Answer 10. [0/1 Points] DETAILS PREVIOUS ANSWERS WAUNIPHYSAV1 33.P.037. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The indices of refraction for orange (610 nm) and green (550 nm) light respectively in crown glass are 1.514 and 1.519. By how much do the critical angles for orange and green light differ in crown glass surrounded by air? 0 X Can you write an expression for the critical angle in crown glass for each color of light as it experiences total internal reflection at the crown glass-air interface?1. [0/1 Points] PREVIOUS ANSWERS WAUNIPHYSAV1 33.P.001.TUTORIAL. ASK YOUR TEACHER PRACTICE ANOTHER For an independent study project, you design an experiment to measure the speed of light You propose to bounce laser light off a mirror that is 49.0 km due east and have it detected by a light sensor that is 123 in due south of the laser. The rst problem is to orient the mirror so that the laser light reflects off the mirror and into the light sensor. (a) Determine the angle that the normal to the mirror should make with respect to due west. x Have you drawn a figure showing all angles and distances? How is the angle of incidence and reflection related to the angle between the incident and reflected beam? How is the angle between the incident and reflected beam related to the distance between the laser and the mirror, and between the laser and the light sensor? (b) Since you can read your protractor only so accurately, the mirror is slightly misaligned and the actual angle between the normal to the mirror and due west exceeds the desired amount by 0.005. Determine how far south you need to move the light sensor in order to detect the reected laser light. :lm @Tmlorlal 4. {0.5/1 Points] PREVIOUS ANSWERS WAUNIPHYSAV1 33.P.006. MY NOTES ASKYOUR TEACHER PRACTICE ANOTHER A mirror hangs 1.57 m above the floor on a vertical wall. A ray of sunlight, reflected off the mirror, forms a spot on the oor 1.25 m from the wall. Later in the day, the spot has moved to a point 2.50 m from the wall. Enter a number. 0 morning afternoon Submit Answer Lam/3111a\": the change in the angle of elevation of the Sun, between the two observations? (b) What time of day were these observations made? 1. [0.5/1 Points] PREVIOUS ANSWERS WAU N | PHYSAV1 33.P.027.TUTORIAL. ASK YOUR TEACHER PRACTICE ANOTHER You have a beaker with a layer of olive oil oating on top of water. A ray of light travels through the oil and is incident on the water with an angle of 82.0. Using the index of refraction of the oil as 1.470 and the index of refraction of water as 1.333, determine the critical angle in oil for the oil-water interface. ec=_x Can you write Snell's law for light traveling from oil to water? What is the angle of refraction into water for the critical angle of oil at the oil-water interface? How does the angle of incidence in oil compare to the critical angle for oil when light refracts into the water? Determine if the ray of light retracts into the water or reects off the oil-water interface back into the oil. O refracts into the water reects back into the oil I @ Tutorial 2. [0.5/1 Points] PREVIOUS ANSWERS WAU N I PHYSAV1 33.P.029. You can determine the index of refraction of a substance by determining its critical angle. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) What is the index of refraction of a substance that has a critical angle of 40.9\" when submerged in ethanol, which has an index of refraction of 1.361? - (b) What would the critical angle be for this substance in air? Ex Can you write Snell's law for the case where light is traveling through the substance and into the air? What is true about the angle of incidence in the substance when the angle of refraction in air is ninety degrees.\" PREVIOUS ANSWERS WAUNIPHYSAV1 33.P.019.TUTORIAL. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER A beam of light containing red (660 nm) and violet (410 nm) wavelengths travels from air, through a flat piece of crown glass 2.48 cm thick, and then back to air. 7. [0.66/1 Points] (a) If the beam has an angle of incidence of 24.6 in air, determine the angle at which the two colors of light emerge from the crown glass. The index of refraction respectively for red and violet light in crown glass is 1.512 and 1.530. (Give your answer to at least three decimal places.) red violet (b) Determine the distance separating the red and violet light as it emerges from the glass. -x How does the horizontal displacement of red light as it travels through the glass depend on the angle of refraction of red light into the glass and the thickness of the glass? cm @ Tutorial 3. [0.5/1 Points] DETAILS PREVIOUS ANSWERS WAUNIPHYSAV1 33.P.042. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER We know that the index of refraction of materials can help identify those materials. When a light beam is shined onto a surface with an angle of incidence of 56.40, the reflected ray is found to be completely polarized. (a) What is the index of refraction of the reflecting material? 1.505 (b) What is the angle of refraction if some light passes through the surface of the material? 42 X What is Snell's law?6. [0.25/1 Points] PREVIOUS ANSWERS WAUNIPHYSAV1 33.P.048. ASK YOUR TEACHER PRACTICE ANOTHER Vou have an unpolarized light source and you wish to send a beam of this light with intensity In through a number of sheets of polarizing material. You stack the sheets of polarizing material so that the axis of polarization for the last sheet is always at right angles to that of the rst sheet and the transmission axis of each sheet relative to the preceding sheet is the same for every sheet. Determine the following. (a) the intensity I; of the light (in terms of In) transmitted through a stack if the stack consists of three sheets of the polarizing material Ia=-x By what fraction is the intensity of light reduced by the rst lter? How is the intensity of light after the second filter related to that after the first filter? How can you determine the angle between adjacent polarizing fi lters?Io (b) the intensity 14 of the light (in terms of 1) transmitted through a stack if the stack consists of four sheets of the polarizing material (c) the intensity 114 of light (in terms of Io) transmitted through a stack if the stack consists of fourteen sheets of the polarizing material (d) an expression for the intensity In of light (in terms of Io) transmitted through a stack if the stack consists of n sheets of the polarizing material 90.0 1 I =1 cos( n 2 0 O )2(n 1) _ 1 (90.0)Z" I _1 O ,, 2 0:05 n1 O 1,, = In cos( 90")" POM\") 90.0\" n 1 1 I = #1 ,, 2 0 cos( )2(n 1) 7. [0/1 Points] DETAILS PREVIOUS ANSWERS WAUNIPHYSAV1 33.P.050. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You have a source of polarized light, and you send a beam of this light with intensity Jo. through a number of polarizing filters. The first filter's polarization axis is rotated an angle 0 clockwise (as viewed from the light source) from the original polarization axis of the light. Similarly, each successive filter's polarization axis is rotated an additional angle 0 clockwise from the axis of the preceding filter. You want the light, after passing through all the filters, to have a polarization axis that is rotated a total of 41.1 from the polarization axis of the original light before passing through the filters, and to have been reduced in intensity by no more than 5.55% from its original intensity Io. What is the minimum number of polarizers needed for this to occur? (Enter a whole number). 90 X Keep in mind that the incident beam of light is polarized. How does the intensity of the light after passing through 1, 2, 3, etc., filters compare to the intensity of the incident light? See if you can obtain a general expression for the intensity of the light after passing through filters. How can you determine the required angle for a specific number of filters? You may find it necessary to resort to numerical methods in order to solve the problem.8. [0.6/1 Points] PREVIOUS ANSWERS WAUNIPHYSAV1 33.P.051. I MY NOTES ] l ASKYOUR TEACHER l I PRACTICE ANOTHER An unpolarized electromagnetic wave is moving in the negative x direction, Two short copper wires are placed parallel to the z axis in the region of this electromagnetic wave. The distance d between the wires is 35 times the wavelength of the unpolarized electromagnetic wave. See the diagram below. Detector y - . 9 Unpohrilcd d Electromagnetic . x Radiation 2 out Copper Wiles (a) which of the following is correct for the direction of the electric eld of the incoming radiation? O anywhere in the X2 plane 0 anywhere in the xy plane anywhere in the yz plane I (b) Only radiative electric elds in the J direction will cause signicant acceleration of the electrons in the copper wires. (c) In which direction will the resulting radiation due to the electrons in the copper have an electric eld, when measured at the detector shown in the gure? O x direction 2 direction 0 yz direction 0 xz direction 0 y direction 0 xy direction v (d) Calculate the angle 91 (other than 0 and 180) where you will see maximum intensity. 84.56 x What is the condition for constructive interference of waves from two sources separated by a distance :11" (e) Calculate the smallest angle 92 where you will observe zero intensity. 56.80 x What is the condition for destructive interference of waves from two sources separated by a distance d

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