A surface of glass with refraction index of 1.67 is covered with a thin film with refraction index of 1.56. Find the smallest thickness of the film in two cases: (a) The light of wavelength 534 nm is most strongly reflected t= nm; (b) The light of wavelength 534 nm is most strongly transmitted t= nm;
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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 is normally incident on an oil film floating on water. If the oil has an index of refraction of n = 1.52 and the thickness t=287 nm, determine the following. (a) wavelength of the light in the visible spectrum (400 nm-700 nm) most strongly reflected nm (b) wavelength of the light in the visible spectrum (400 nm-700 nm) most strongly transmitted nm Additional MaterialsTwo microscope slides made of glass are illuminated by monochromatic (λ=589nmλ=589nm) light incident perpendicular to the surface. The top slide touches the bottom slide at one end and rests on a thin copper wire at the other end, forming a wedge of air. Dimensions are not to scale. The wire diameter and the thickness of the gap should be very small compared to the thickness of the glass.. If 104 bright fringes appear between the point where the glass slides contact each other and where they contact the wire, what is the minimum diameter D of the wire in micrometers.
- A steady sound with a frequency of f = 750 Hz is produced by a source located far from an open doorway set in a sound- absorbing wall. The sound waves pass through the w = 1.18 m-wide doorway. (Assume the speed of sound is 343 m/s.) (a) If a person walks parallel to the wall beyond the open doorway, how many diffraction minima will she encounter? (b) What are the angular directions (in degrees) of these diffraction minima? (Enter the magnitudes from smallest to largest starting with the first answer blank. Enter NONE in any remaining answer blanks. Do not enter any duplicate numerical values.) smallest 土 土 largestAstronomers 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 eBookLight 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.