When a certain crystal is illuminated with an X-ray source of unknown wavelength, a first-order X-ray diffraction maximum is observed at an angle of 27.1∘∘. (All angles are measured relative to the Bragg plane.) When illuminated with a different source with a known wavelength 0.126 nm, a second-order maximum is detected at 32∘∘. Part A) What is the distance, in nanometers, between the Bragg planes?  Part B ) What is the wavelength, in nanometers, of the first, source

You measure the distance between the finges of a diffraction pattern as follows: Distance (mm): 3.01, 3.27, 3.28 You measure the distance eight additional times to obtain the following ten values: Distance (mm): 3.01, 3.27, 3.28, 3.31, 3.16, 3.17, 3.15, 3.25, 3.18, 1.46 What values for the distance and uncertainty would you report using the first three measurements and the entire set of ten measurements? Group of answer choices First three: (3.22 ± 0.03) mm, All ten: (3.22 ± 0.02) mm First three: (3.19 ± 0.09) mm, All ten: (3.0 ± 0.2) mm First three: (3.186667 ± 0.07216237) mm, All ten: (3.201000 ± 0.02613236) mm First three: (3.216667 ± 0.02880329) mm, All ten: (3.216000 ± 0.02379916) mm First three: (3.240000 ± 0.04082483) mm, All ten: (3.217000 ± 0.02702036) mm First three: (3.24 ± 0.04) mm, All ten: (3.22 ± 0.03) mm

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.

** 38. Two plastic plates (index of refraction n = 1.3) are separated by an air gap of 0.9 µm. Analyze the reflections of light of wavelength 600 nm and conclude whether it will be brightly reflected or not. 0.9 um gap ** 39. The air gap in the previous problem is now filled with a mineral oil whose index of refraction is n = 1.5. Analyze the reflections of light of wavelength 600 nm and conclude if it will be brightly reflected or not.