p37_005 - y = D tan , where D is the distance from the lens...

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5. (a) A plane wave is incident on the lens so it is brought to focus in the focal plane of the lens, a distance of 70 cm from the lens. (b) Waves leaving the lens at an angle θ to the forward direction interfere to produce an intensity minimum if a sin θ = ,where a is the slit width, λ is the wavelength, and m is an integer. The distance on the screen from the center of the pattern to the minimum is given by
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Unformatted text preview: y = D tan , where D is the distance from the lens to the screen. For the conditions of this problem, sin = m a = (1)(590 10 9 m) . 40 10 3 m = 1 . 475 10 3 . This means = 1 . 475 10 3 rad and y = (70 10 2 m) tan(1 . 475 10 3 rad) = 1 . 03 10 3 m....
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