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Question

Help me with problem 1 a,b

1. Interference and applications a/ Consider the two closely spaced spectral (yellow) lines of sodium (Na), 1 = 589 nm and 2 = 589.6 nm. If light from a sodium lamp fully illuminates a diffraction grating with 1000 slits/cm, what is the angular separation of these two lines in the third-order (m=3) spectrum? b/ Suppose that when we pass red blue ( = 500 nm) through a slit of width a, the width of the spot (the distance between the first zeros on each side of the bright peak) is W = 1.5 cm on a screen that is L= 3m behind the slit. How wide is the slit?
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Transcribed Image Text:1. Interference and applications a/ Consider the two closely spaced spectral (yellow) lines of sodium (Na), 1 = 589 nm and 2 = 589.6 nm. If light from a sodium lamp fully illuminates a diffraction grating with 1000 slits/cm, what is the angular separation of these two lines in the third-order (m=3) spectrum? b/ Suppose that when we pass red blue ( = 500 nm) through a slit of width a, the width of the spot (the distance between the first zeros on each side of the bright peak) is W = 1.5 cm on a screen that is L= 3m behind the slit. How wide is the slit?
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