∆θθ==FHGIKJ−220 4421sin..λa(d) For a/λ= 1.0, ( )12sin0.442 1.00.916rad52.5θ−∆===°. (e) For a/λ= 5.0, ( )10.442 5.00.177rad10.1−==°. (f) For a/λ= 10, ∆=°−20 442 100 08845061....bgrad17. (a) The intensity for a single-slit diffraction pattern is given by IIm=22αwhere = (πa/λ) sin , ais the slit width and λis the wavelength. The angle is measured from the forward direction. We require I = Im/2, so .12αα=(b) We evaluate sin2and 22 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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