A thin film of oil (n = 1.25) is located on smooth wet pavement, creating a system composed of the following basic layers: air, oil (the thin film), and water. When viewed from a direction perpendicular to the pavement, the film reflects red light of 640nm and reflects no green light of 512nm. (a) What are the possible film thicknesses that allow the read light to be reflected? (b) What are the possible film thicknesses if the green light is not reflected? (c) What is the minimum thickness of the oil film if both conditions are satisfied? Hint: compute at least 4 thicknesses in parts (a) and (b)

A thin film of oil (n = 1.25) is located on smooth wet pavement, creating a system composed of the following basic layers: air, oil (the thin film), and water. When viewed from a direction perpendicular to the pavement, the film reflects red light of 640nm and reflects no green light of 512nm. (a) What are the possible film thicknesses that allow the read light to be reflected? (b) What are the possible film thicknesses if the green light is not reflected? (c) What is the minimum thickness of the oil film if both conditions are satisfied? Hint: compute at least 4 thicknesses in parts (a) and (b)

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One way to determine the index of refraction of a gas is to use an interferometer. As shown below, one of the beams of an interferometer passes through a glass container that has a length of L = 1.8 cm. Initially the glass container is a vacuum. When gas is slowly allowed into the container, a total of 6894 dark fringes move past the reference line. The laser has a wavelength of 635 nm (this is the wavelength when the light from the laser is moving through a vacuum). A.) Determine how many wavelengths will fit into the glass container when it is a vacuum. Since the light passes through the container twice, you need to determine how many wavelengths will fit into a glass container that has a length of 2L.number of wavelengths (vacuum) = B.) The number of dark fringes is the difference between the number of wavelengths that fit in the container (length of 2L) when it has gas and the number of wavelengths that fit in the container (length of 2L) when it is a vacuum. Use this knowledge to…
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t I A thin film of gasoline (n = 1.4) is located on smooth piece of glass (n = 1.5). When viewed perpendicular to the pavement, the film appears red (λ = 684nm) and has no blue (λ = 483mm) color. What is the minimum thickness of the gasoline film? ገሃ
A He-Ne gas laser which produces monochromatic light of a known wavelength ? =6.35 ? 10^−7 ? is used to calibrate a reflection grating in a spectroscope. The first-orderdiffraction line is found at an angle of 22 degrees to the incident beam. How many lines per meter are there on the grating?
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