A light is incident normally on a thin (n = 1.33) suspended in the air. What is the minimum thicknesses that will destructively reflect light with wavelength of 560 nm?
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A light is incident normally on a thin (n = 1.33) suspended in the air. What is the minimum thicknesses that will destructively reflect light with wavelength of 560 nm? (Note: m = 1 and refractive index of air is 1.00)
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- A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P27.23. For what minimum nonzero value of the plate separation d is the transmitted light bright?Both sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.378. (b) What If? If the temperature of the filter increases above the normal value, increasing its thickness, what happens to the transmitted wavelength? (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this 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.Laser light of wavelength 460 nmnm is traveling in air and shines at normal incidence onto the flat end of a transparent plastic rod that has nn = 1.30. The end of the rod has a thin coating of a transparent material that has refractive index 1.75. a)What is the minimum (nonzero) thickness of the coating for which there is maximum transmission of the light into the rod? b)What is the minimum (nonzero) thickness of the coating for which transmission into the rod is minimized?Consider a thin film of thickness t = 2.30 × 10-6 m and index of refraction ng = 1.20. The film is rest- ing on a material of index of refraction ne = 1.13, and its top face is exposed to air na = 1.00. What is the shortest wavelength of visible light that will interfere destructively when incident on the film at angle Oa = 22.0° from the normal? Give your answer in nanometers, to three significant figures. [Note: you may ignore the fact that the wavelength will change upon refraction; this will only very slightly affect the answer.] nc
- A layer of oil, with a refractive index of 1.40798, exactly 1 mm thick, floats on water. Light of vacuum wavelength 632.800 nm, emitted by a stabilized He-Ne laser, is reflected at normal incidence by the oil. Question 1 1 pts The index of refraction of the oil varies slightly with the vacuum wavelength of the light. Find this altered wavelength in nm: Question 2 1 pts How many wavelengths are contained in the light wave passing back and forth through the oil? (Hint: the reflected wave is shifted by X/2.) Please enter your answer as a whole number. Question 3 1 pts Does the light reflected from the two surfaces of the oil interfere constructively or destructively? Destructively O ConstructivelyAstronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the Holine. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is kept at a constant temperature. (a) Find the minimum value of d that will produce maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.400. (Enter your answer to one decimal place.) nm (b) If the temperature of the filter increases above the normal value increasing its thickness, what happens to the transmitted wavelength? (Assume the index of refraction of the dielectric remains constant.) ---Select--- (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light. nmAstronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H, line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximum transmission of perpendicular H, light if the dielectric has an index of refraction of 1.494. (Assume that the glass's refractive index exceeds 1.494.) nm (b) If the temperature of the filter increases above the normal value, increases its thickness, what happens to the transmitted wavelength? (Its index of refraction does not change significantly.) O It increases. O It decreases. O It remains unchanged. (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light. nm Additional Materials O eBook
- To reduce the loss of light when reflected from the glass surface, the latter is covered with a thin layer of a substance, the refractive index of which is n '= sqrt (n), where n is the refractive index of the glass. At what minimum thickness d (min) of this layer will the reflectivity of glass in the normal direction be minimal for light with a wavelength λ?A very narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 0.68 m thick flat block of crown glass and back to air again. The beam strikes at a 30.0º incident angle. By what distance (in mm) perpendicular to their direction of travel are the red and blue beams separated when they emerge? The index of refraction for λ = 660 nm is 1.512 and the index of refraction for λ = 470 nm is 1.524. Enter a number with 3 digits behind the decimal point.A thin layer of oil resides on top of motionless water. The index of refraction for the oil is 1.18 and for water is 1.33. A band of white light in air, strikes the oil layer at normal incidence. If the oil layer is 753 nm thick, the shortest wavelength of light in the visible spectrum that is most strongly reflected is nm, while the longest wavelength of light in the visible spectrum that is most strongly reflected is nm. Answer with a number rounded to only 3 digits and note that the unlts are nanometers.