A thin film of toluene (n = 1.49) floats on water. Find the mini- mum film thickness if the most strongly reflected light has wave- length 460nm.
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- A 3.04-kHz tone is being produced by a speaker with a diameter of 0.207 m. The air temperature changes from 0 to 28 oC. Assuming air to be an ideal gas, find the change in the diffraction angle θ. The Answer is not 39.91White light hits the surface of a thin film (n = 1.6) perpendicularly. There is air on both sides of the membrane. The wavelengths 504 nm and 672 nm are missing from the reflected light. a) What is the minimum thickness of the thin film? b) Which wavelengths are strongly visible in the reflected light?A thin layer of oil with index of refraction no = 1.47 is floating above the water. The index of refraction of water is nw = 1.3. The index of refraction of air is na = 1. A light with wavelength λ = 325 nm goes in from the air to oil and water. Part (a) Express the wavelength of the light in the oil, λo, in terms of λ and no. Part (b) Express the minimum thickness of the film that will result in destructive interference, tmin, in terms of λo. Part (c) Express tmin in terms of λ and no. Part (d) Solve for the numerical value of tmin in nm.
- A flat piece of glass is held stationary and horizontal above the highly polished, flat top end of a 9.00-cm-long vertical metal rod that has its lower end rigidly fixed. The thin film of air between the rod and glass is observed to be bright by reflected light when it is illuminated by light of wavelength 515 nm. As the temperature is slowly increased by 25.5°C, the film changes from bright to dark and back to bright 200 times. What is the coefficient of linear expansion of the metal?Light travelling from air hits a dangerous glycerol (n=1.45) spill on the top of a piece of pyrex glass (n=1.55). If a scientist observes dark spots from the glycerol spill, and the thickness of the film was measured to be 128 nm, determine the wavelength of light in air.A thin film apparatus reflects normally incident light with indices of refraction of n =1.35, n, =1.50, and n, =1.35 for the incident light side material, the thin film material, 10. and the transmitted side material respectively. The reflected light from the n,,n, surface interferes with the light reflected by the n,,nțextrface. Find the third smallest thickness, L, for the thin film material that produces a maximum in the reflected light at an air wavelength of 2 = 540.0 nm .