ch36-p017 - 17. (a) The intensity for a single-slit...

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θθ == F H G I K J 22 0 442 1 sin . . λ a (d) For a / λ = 1.0, ( ) 1 2sin 0.442 1.0 0.916rad 52.5 θ ∆= = = ° . (e) For a / λ = 5.0, ( ) 1 0.442 5.0 0.177rad 10.1 = = ° . (f) For a / λ = 10, = ° 2 0 442 10 0 0884 506 1 . . . . bg rad 17. (a) The intensity for a single-slit diffraction pattern is given by II m = 2 2 α where = ( π a / λ ) sin , a is the slit width and λ is the wavelength. The angle is measured from the forward direction. We require I = I m /2, so . 1 2 αα = (b) We evaluate sin 2 and 2 2 for = 1.39 rad and compare the results. To be sure that 1.39 rad is closer to the correct value for
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