Can anyone solve this problem indetail? A diffraction grating having200 lines/mm

Question

Can anyone solve this problem indetail? A diffraction grating having200 lines/mm isilluminated with a light signal containing only one wavelengthl=640 nm. The signal is incident perpendicularly on thegrating. a) What is the angular separation between thefirst and the second-order maxima? b) What is the highest order of diffractionthat can be observed? Can anyone solve this problem indetail? A diffraction grating having200 lines/mm isilluminated with a light signal containing only one wavelengthl=640 nm. The signal is incident perpendicularly on thegrating. a) What is the angular separation between thefirst and the second-order maxima? b) What is the highest order of diffractionthat can be observed?

Explanation / Answer

No.of lines per mm = 200 No.of lines per m is N = 200* 10 ^ 3 grating elemenet d = 1 / N                             = 0.5 * 10 ^ -5 m wavelength = 640 * 10 ^ -9 m (a). for 1 st order maxima   d sin = from this = 7.354 degrees for 2 nd order d sin ' = 2 from this ' = 14.83 degrees So, angular separation between the first and the second-ordermaxima = ' -                                                                                                          = 7.478 degrees

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