problem36_51

problem36_51 - 1 sin( a sin ) sin x = = 0.7071. Solving for...

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36.51 : a) . 7071 . 0 sin λ sin ) λ sin sin( 2 1 2 0 = = = x x θ a θ a I I π Solving for x through trial and error, and remembering to use radians throughout, one finds 39 . 1 = x rad and , 2 Also, rad. 78 . 2 2 + - + = - = = = θ β x and . λ 442 . 0 rad 2 rad 78 . 2 λ 2 λ sin sin λ 2 a a a a = = = + i) . 25.3 rad 0.446 rad 223 . 0 221 . 0 sin 2 λ = = = = = + + a ii) . .1 10 rad 0.177 rad 0886 . 0 0885 . 0 sin 5 λ = = = = = + + a iii) . 5.07 rad 0.885 rad 0443 . 0 0442 . 0 sin 10 λ = = = = = + + a b) For the first minimum, . λ sin 0 a = i) . 2 . 60 rad 05 . 1 2 rad 524 . 0 2 1 arcsin 2 λ 0 0 ° = = = = = a ii) . 23.0 rad 402 . 0 2 rad 201 . 0 5 1 arcsin 5 λ 0 0
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