What order is necessary to resolve 647.98-nm and 648.07-nm spectral lines using a 4500-line grating?
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- Diffraction is defined as the bending of light around obstacles whose size is comparable to the wavelength of the light. A diffraction grating is capable of splitting a single beam of light into multiple beams based on the wavelength.
- The resolving power of a grating is its ability to ability to spatially separate two wavelengths, It is given by,
Where λ is the minimum resolvable wavelength, ∆λ is the difference in wavelength, m is the order of the dispersion, and N is the number of lines in the grating.
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- Consider Aluminum Oxide (Al2O3) is to be deposited as an antireflection coating (ARC) on a-Si solar cell. Calculate the Reflectance for 550 nm wavelength when a 50nm thick Al2O3 layer is deposited on Si. Given: Refractive index of Air = 1. Refractive index of Al2O3 = 1.77.X-rays of wavelength 0.200 nm are reflected from a certain crystal, and the first-order maximum occurs at an angle of 14.6°. What value does this give for the interplanar spacing of the crystal? answer in nmAn unknown spectrum has a red line at 600 nm and a violet line at 345 nm. What angular separation between these two spectral lines is obtained with a diffraction grating that has 4,350 lines/cm? Find it for the first-order maximum. 6.5º 5.75º 14º 24.78º
- Pluto and its moon Charon are separated by 19600 km. An undergraduate researcher wants to determine if the 5.08 m diameter Mount Palomar telescope can resolve these bodies when they are 5.40×109 km from Earth (neglecting atmospheric effects). Assume an average wavelength of 545 nm. To determine the answer, calculate the ratio of the telescope's angular resolution ?T to the angular separation ?PC of the celestial bodies.Copper Kα1X-rays have a wavelength of 0.15406 nm. What is the interplanar spacing d, for the (200) planes in iron when the Bragg angle θ is 32.52 ̊ (assuming n=1, first-order diffraction)?Given a grating with 400 lines per mm, how many orders of the entire visible spectrum (400- 700nm) can be produced in addition to the m=0 order?
- A grating has 600 rulings/mm and is 5.0 mm wide. (a)What is the smallest wavelength interval it can resolve in the third order at l = 500 nm? (b) How many higher orders of maxima can be seen?A grating has 400 lines/mm. How many orders of the visible wavelength 472 nm can it produce in addition to the m = 0 order?true or false