23_Chapter 24 HomeworkCH24 Wave Optics

23_Chapter 24 HomeworkCH24 Wave Optics - Wave Optics 24.44...

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Wave Optics 325 24.44 When light of wavelength λ passes through a single slit of width a , the first minimum is observed at angle θ where sin a = or 1 sin a  =   a This will have no solution if < , so the maximum slit width if no minima are to be seen is 632 nm a == .8 . 24.45 (a) From Brewster’s law, the index of refraction is () 2 tan tan 48.0 1.11 p n ° = (b) From Snell’s law, 22 1 sin sin nn 1 = , we obtain when 1 p = ( ) 1 2 si sin48.0 sin 42.0 1.11 n n ° 11 2 n 1.00 sin p −− 1 = ° Note that when p = 2 90.0 , p = °− as it should. 24.46 Unpolarized light incident on a polarizer contains electric field vectors at all angles to the transmission axis of the polarizer. Malus’s law then gives the intensity of the transmitted light as ( ) 2 0 av cos II = . Since the average value of 2 cos is 12, the intensity of the light passed by the first polarizer is
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