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hw07_sol - 7(a We use Eq 36-3 to calculate the separation...

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7. (a) We use Eq. 36-3 to calculate the separation between the first ( m 1 = 1) and fifth 2 ( 5) m = minima: y D D m a D a m D a m m = = F H G I K J = = sin . θ λ λ λ 2 1 b g Solving for the slit width, we obtain a D m m y = = × = λ 2 1 6 400 550 10 5 1 0 35 2 5 b g b gc hb g mm mm mm mm . . . (b) For m = 1, sin . . . θ = = × = × m a λ 1 550 10 2 5 2 2 10 6 4 b gc h mm mm The angle is θ = sin –1 (2.2 × 10 –4 ) = 2.2 × 10 –4 rad.
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