An air wedge is formed using two glass plates. that are in contact along their left edge. When viewed by highly monochromatic light, there are exactly 7 dark bands in the reflected light. The air is now evacuated (with the glass plates remaining rigidly fixed) and the number of dark bands decreases to exactly 4. The index of refraction of the air (with unknown composition) is (3 significant digits):

A layer of oil, with a refractive index of 1.40798, 1.08292 mm thick, floats on water. (a) Light of vacuum wavelength 632.800 nm, emitted by a stabilized He-Ne laser, is reflected at normal incidence by the oil. How many wavelengths are contained in the light wave passing back and forth through the oil? (b) Does the light reflected from the two surfaces of the oil interfere constructively or destructively?constructive interferencedestructive interference

The plane z = 0 separates two media: glass(nglass = 1.51 for z < 0) and water (nH20 = 1.33 for z > 0). The optical beam of a helium-cadmium (He-Cd) laser has a wavelength in vacuum of 325 nm. Consider that the laser beam propagates in the x-z plane from the glass side towards the glass/water interface at an angle of incidence of 30° (angle between the incident beam and the normal to the interface). Determine the Cartesian components of the k-vector (kx, ky, kz) for the incident reflected, and transmitted beams.

Immiscible liquids (ones that do not mix) can be placed on top of each other in a glass. Each layer may have a different refractive index. If we shine a ray down from the air above into the glass on the left at an angle of 3.8 degrees from the vertical, what is the angle of the light when it reaches the bottom of the glass? (Units: degrees) n (air) 1.00 n (lamp oil) 1.51 n (rubbing alcohol) 1.39 n (vegetable oil) 1.45 n (water) 1.33 n (dish soap) 1.35

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 (a) air and (b) water?

A light beam is directed parallel to the axis of a hollow cylindrical tube. When the tube contains only air, it takes the light 8.72 ns to travel the length of the tube, but when the tube is filled with a transparent jelly, it takes the light 2.04 ns longer to travel its length. What is the refractive index of the jelly?   NOTE: The final answer should be 1.23.

What is the angle of refraction of the incident light is on air (n-1) and glass (n=1.42) boundary, if the angle of refraction is 1/2 of the angle of reflection? Note: Sin(20) = 2 Sin(0)Cos(0) O 37° O 39° O 41° O 45° 43°

assume that two waves of light in air, of wavelength 400 nm, are initially in phase. One travels through a glass layer of index of refraction n1 = 1.60 and thickness L. The other travels through an equally thick plastic layer of index of refraction n2 = 1.50. (a) What is the smallest value L should have if the waves are to end up with a phase difference of 5.65 rad? (b) If the waves arrive at some common point with the same amplitude, is their interference fully constructive, fully destructive, intermediate but closer to fully constructive, or intermediate but closer to fully destructive?

Two beams of light start together and then hit a slab of two different kinds of material. This will cause one of the beams to get "ahead" of the other; that is, one will emerge from the slab sooner than the other. The beams have a wavelength of 570 nm outside the slabs, and the slab is d=2.3 μm thick. If the top half of the slab has index of refraction 1.79 and the bottom has index 1.39, by what time interval will one of the beams be ahead of the other once they've gone through the slab?

A parallel beam of monochromatic light of wavelength 500nm passes through a slit of width 0. 5mm. Find the angular divergence in which most of the light is diffracted.