The Michelson interferometer can be used to measure the index of refraction of a gas by placing an evacuated transparent tube in the light path along one arm of the device. Fringe shifts occur as the gas is slowly added to the tube. Assume 610-nm light is used, the tube is 5.40 cm long, and 168 bright fringes pass on the screen as the pressure of the gas in the tube increases to atmospheric pressure. What is the index of refraction of the gas? Hint: The fringe shifts occur because the wavelength of the light changes inside the gas-filled tube. (Give your answer to at least five decimal places.)

Problem 1: You want to test a special watertight monochromatic light source in an un- derwater environment. If the light source shines its beam of electromagnetic radiation into your eyes when you and the light source are above the water, with both your eyes and the light source immersed in air, the beam appears to your eyes to have a deep violet color. The index of refraction of water is about 1.33 What color, if any, would your eyes perceive the beam to have when you and the light source are submerged in water – and why? (A) No color. The beam would become invisible under water because its wavelength in water is shorter than in air, corresponding to a wavelength of ultra-violet light. The beam's wavelength in the water determines its visibility to the eye under water, and ultra-violet light is not visible to the human eye. (B) Same color as in air, above the water, i.e., deep violet. Under water, the beam would have the same wavelength as in air. The beam's wavelength in the water…

An extremely thin sheet of glass is being inspected at the laboratory. Illuminated by white light at near-normal incidence, the film-like sheet is 0.371 µm thick and has air on both sides. If the glass has a refractive index of 1.66, what wavelength of visible light (in nm) does it reflect most strongly? (The wavelengths of visible light range from 400 to 700 nm.) nm

A beam of initially unpolarized light of intensity 531 W/m^2 passes through two polarizing filters in sequence, emerging from the second filter with an intensity of 175 W/m^2. What is the angle between the axes of the first and second filters?  17.9 degrees  35.7 degrees  55.0 degrees  66.1 degrees