b) The refractive index of a certain glass is 1.66. For what incident angle is light reflected from the surface of this glass completely polarized if the glass is immersed in (i) air and (ii) water?
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- Three polarizing sheets are placed together such that the transmission axis of the second sheet is oriented at 25.0° to the axis of the first, whereas the transmission axis of the third sheet is oriented at 40.0° (in the same sense) to the axis of the first. What fraction of an intensity of an incident unpolarized beam is transmitted by the combination?If a polarizing filter reduces the intensity of polarized light to 50.0% of its original value, by how much are the electric and magnetic fields reduced?It is found that when light traveling in water falls on a plastic block, Brewster’s angle is 50.0°. What is the refractive index of the plastic?
- Check Your Understanding Although we did no specify the direction in Example 1.7, let’s say the polarizing filter was rotated clockwise by 71.6° to reduce the light intensity by 90.0%. What would be the intensity reduction if the polarizing filter were rotated counterclockwise by 71.6°’To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?Unpolarized light in vacuum is incident onto a sheet of glass with index of refraction n. The reflected and refracted rays are perpendicular to each other. Find the angle of incidence. This angle is called Brewsters angle or the polarizing angle. In this situation, the reflected light is linearly polarized, with its electric field restricted to be perpendicular to the plane containing the rays and the normal.
- Show that if you have three polarizing filters, with the second at an angle of 45.0to the first and at third at an angle of 90.0to the first, the intensity of light passed by the first will be reduced to 25.0% of its value. (This is in contrast to having only the first and third, which reduces the intensity to zero, so that placing the second between them increases the intensity of the transmitted light.)(a) At what angle of incidence will the light reflected from water be completely polarized? (b) Does this angle depend on the wavelength of the light?The refractive index of a certain glass is 1.66 For what incident angle is light reflected from the surface of this glass completely polarized if the glass is immersed in (i) air and (ii) water?
- A system of three polarizing sheets is placed in the path of initially unpolarized light. The polarizing direction of the first sheet, P1, is parallel to the y-axis, that of the second sheet, P2, is 60o counterclockwise from the y-axis, and that of the third sheet, P3, is parallel to the x-axis. Determine the fraction of the initial intensity Io of the light emerges from the system, i.e. ratio I0/I3. A. 0.092 B. 3.19 C. 10.9 D. 6.66The refractive index of an ice is 1.31. At what incident angle is light reflected from the surface of an ice slab completely polarized ifthe slab is immersed in (a) air and (b) benzene?A ray of light travelling in glass having a refractive index nlass= 1.5, is incident at an angle 0 on the glass-air interface. If a thin layer of liquid (niquid = 1.23) is poured on the glass air interface, then at what angle would the ray emerge from the liquid-air interface? air (nair) air (nair) liquid (niquid) glass (ng) glass (ng) O 48.3° 90.0° 35.7° O 45.6° O 82.5°