In Fraunhofer diffraction due to a narrow slit, a screen is placed 2 meter away from the lens to obtain the pattern. If the slit width is 0.2 mm and the first minima lie 5mm on either side of the central maxima, find the wavelength of light.
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![In Fraunhofer diffraction due to a narrow slit, a screen is placed 2 meter away from the lens to
obtain the pattern. If the slit width is 0.2 mm and the first minima lie 5mm on either side of the
central maxima, find the wavelength of light.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6ec8d8c-852f-4b9e-ad7a-66a2ac9fd1f9%2Fff226e48-be6c-47a1-92d6-836228339167%2F2wbl1mg_processed.jpeg&w=3840&q=75)
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- A diffraction grating of diameter 1cm and 400 lines/mm is illuminated by white light at normal incidence. The diffracted light from second order is then focused by a camera lens of focal length f onto an electronic image detector, with the lens and detector aligned to the diffracted light at λ = 550 nm. - If the detector width is 2 cm, calculate the maximum value of f so that the whole wavelength region 400 nm to 700 nm is observed on the detector. Also, calculate the maximum detector pixel size in order that two wavelengths near 550 nm and separated by the minimum resolvable λ are separated by at least 2 pixels on the detector.The Rayleigh criterion provides a convenient way to describe the theoretical resolution (e.g. an ability to distinguish two bright objects ) of an optical system. The criterion states that two small bright sources of light can be resolved if the first diffraction minimum of the image of one source point just coincides with of further apart then the first maximum of another (see figure below). A converging lens, 22.8 mm in diameter, is used to form images of distant objects. Considering the diffraction by the lens, what angular separation must two distant point objects have in order to satisfy Rayleigh's criterion? Assume that the wavelength of the light from the distant objects is 640 nm. Provide your Page 1 answer in millidegrees (mdeg).While researching the use of laser pointers, you conduct a diffraction experiment with two parallel slits, each of width 1.0 × 10-4 m. Your result is a pattern of closely spaced bright and dark fringes shown. (Only the central portion of the pattern is shown.) The light source is a laser producing a wavelength of 600 nm. You find the distance between two adjacent bright spots to be Ax₁ =1mm and the distance between the center of the image to the first missing spot to be Ax2 = 6mm. How far apart are the two slits? 0.00002 m 0.0001 m 0.0002 m 0.00001 m 0.0006 m Ax2 = 6mm Ax₁ = 1mm
- Young's experiment uses a laser with a wavelength λ = 632.8 nm, a slit separation of 0.5 mm and an observation distance of 40 cm. What is the separation of the stripes if the experiment is performed in (a) air (n = 1,0003), (b) a carbon dioxide environment (n = 1,0005), and (c) in water (n = 1,333)?Consider the following. (a) Find the angle ? locating the first minimum in the Fraunhofer diffraction pattern of a single slit of width 0.182 mm, using light of wavelength 581 nm.(b) Find the angle locating the second minimum.Problem 10: Consider a diffraction grating through which monochromatic light (of unknown wavelength) has a first-order maximum at 22°. At what angle, in degrees, does the diffraction grating produce a second-order maximum for the same light?
- A slit of width 0.45 mm is illuminated with light of wavelength 544 nm, and a screen is placed 110 cm in front of the slit. Find the widths of the first and second maxima on each side of the central maximum. w1 = mm (1st maxima) w2 = mm (2nd maximaSuppose that two points are separated by 2.0 cm. If they are viewed by an eye with a pupil opening of 5.0 mm, what distance from the viewer puts them at the Rayleigh limit of resolution? Assume a light wavelength of 500 nm.The Rayleigh criterion provides a convenient way to describe the theoretical resolution (e.g. an ability to distinguish two bright objects ) of an optical system. The criterion states that two small bright sources of light can be resolved if the first diffraction minimum of the image of one source point just coincides with of further apart then the first maximum of another (see figure below). A converging lens, 34.2 mm in diameter, is used to form images of distant objects. Considering the diffraction by the lens, what angular separation must two distant point objects have in order to satisfy Rayleigh's criterion? Assume that the wavelength of the light from the distant objects is 431 nm. Provide your answer in millidegrees (mdeg). Answer: Choose... +
- slit of width 0.46 mm is illuminated with light of wavelength 534 nm, and a screen is placed 114 cm in front of the slit. Find the widths of the first and second maxima on each side of the central maximum. w1 = mm (1st maxima) w2 = mm (2nd maxima)The distance between the first and fifth minima of a single-slit diffraction pattern is 0.350 mm with the screen 35.0 cm away from the slit, when light of wavelength 560 nm is used. (a) Find the slit width. (b) Calculate the angle of the first diffraction minimum. (a) Number (b) Number Units Units