reflective diffraction grating is to have a grating spacing of 3 microns. a. If you want the 2nd order 450 nm to be retroreflected (Littrow mount), what is the blaze angle? b. What is the angle between the 450 nm 2nd order and 451 nm 2nd order reflections?
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- You want to estimate the diameter of a very small circular pinhole that you’ve made in a piece of aluminum foil. To do so, you shine a red laser pointer (λ = 632 nm) at the hole and observe the diffraction pattern on a screen 3.5 m behind the foil. You measure the width of the central maximum to be 15 mm.What is the diameter of the hole?A. 0.18 mm B. 0.29 mm C. 0.36 mm D. 1.1 mmTwo in phase, monochromatic light rays traverse transparent materials with differing indices of refraction but a common length. The wavelength of the light is 1 = 500. nm . Far from the materials the light rays are combined without further phase shifts and there is interference. a. If n =1.50 n, =1.625 and L=12.0µm what is the phase difference in wavelengths ( N, - N, )? b. If n, =1.475 =1.60 and L=12.00µm what is the phase difference in wavelengths ( N2 - N, )? c. If n =1.475 n, =1.60 and L= 6.00µm what is the phase difference in wavelengths ( N, - N )? d. Rank the three cases above in terms of brightness for the combined light. n2 7.You are taking an eye exam. You stand 5 m from a board that has letters printed on it. The separation between two of the letters on the board is 1 cm. Assume that the light in the room has a wavelength of 600 nm. a. If your pupil has a diameter of 7.5 mm, can you resolve the two letters, or do they blur together? b. What is the maximum distance at which you would be able to resolve the letters?
- One day, after pulling down your window shade, you notice that sunlight is passing through a pinhole in the shade and making a small patch of light on the far wall. The patch of light seems to be a circular diffraction pattern with a central maximum width of about 1 cm across. The distance from the window shade to the wall is 3 m. a. Estimate the average wavelength of the sunlight b. Estimate the diameter of the pinholeYou are observing light interference from the top of a soap bubble that is resting on a countertop. The Index of refraction of the soap bubble is n = 1.38. At this moment, the reflection in the soap bubble has a wavelength of λ = 5.39e-07 meters. Soap Bubble White Light One Color Your eye What is the THINDEST film that can produce this color? d = 97.5 X meters. As time goes on, the soapy water accumulates near the bottom of the bubble making the top VERY VERY thin (d « A). What happens at this point? O NO reflection O Shorter wavelength (more RED) reflection O Shorter wavelength (more VIOLET) reflection O Longer wavelength (more VIOLET) reflection O WHITE reflection O Longer wavelength (more RED) reflectionA radar for tracking aircraft broadcasts a 12 GHz microwave beam from a 2.0-m-diameter circular radar antenna. From a wave perspective, the antenna is a circular aperture through which the microwaves diffract.a. What is the diameter of the radar beam at a distance of 30 km?b. If the antenna emits 100 kW of power, what is the average microwave intensity at 30 km?
- Light from a laser with a wavelength of 760 nm is directed at a diffraction grating of 1500 lines/cm. If the diffraction grating is located 1.5 m from the screen, calculate the distance between adjacent bright fringes. 51. Lenses often contain thin coatings to reduce reflections and UV radiation. Explain how this works.The analysis of any two-point source interference pattern and a successful determination of wavelength demands an ability to sort through the measured information and equating the values with the symbols in Young's equation. Apply your understanding by interpreting the following statements and identifying the values of y, d, m and L. Finally, perform some conversions of the given information such that all information share the same unit. a. Two slits separated by 0.250 mm produces an interference pattern in which the fifth dark band is located 12.8 cm from the central antinode when the screen is placed a distance of 8.2 meters away. y= ________ d=________ m=_______ L=________Light from a 580 nm wavelength laser is shown through a double slit. This light is projected on a screen which is 4.71 m away from the slits. It is visually observed that the 13th order maximum is missing in the pattern and this missing order is 7.16 cm from the center of the pattern. a.What is the distance between the slits (center to center)? Give your answer in millimeters. b.What is the width of one of those slits? Give your answer in millimeters. c.What is the next order that is missing in the pattern? d.At what distance from the center of the pattern is the missing order from part c? Give your answer in centimeters.
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