1044_Physics ProblemsTechnical Physics

1044_Physics ProblemsTechnical Physics - Chapter 37 P37.7...

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Chapter 37 385 P37.7 (a) For the bright fringe, y mL d bright = λ where m = 1 y = × × = 546 1 10 1 20 0250 10 262 10 262 9 3 3 .. . m m m m m ej a f . (b) For the dark bands, y L d m dark =+ F H G I K J 1 2 ; m = 0123 ,,,, yy L d L d 21 9 3 1 1 2 0 1 2 1 546 1 10 1 20 −= + F H G I K J −+ F H G I K J L N M O Q P = = × × λλ af . m m y = . m m . L d Source y = 1.20 m = 0.250 m bright dark bright dark bright dark y 1 y 2 FIG. P37.7 P37.8 Taking m = 0 and y = 0200 m m in Equation 37.6 gives L dy L ≈= ×× × = −− 2 2 0 400 10 0 200 10 442 10 0362 36 2 33 9 . . m m m cm Geometric optics incorrectly predicts bright regions opposite the slits and darkness in between. But, as this example shows, interference can produce just the opposite. L 0.2 mm 0.2 mm Bright Bright Bright Dark Dark FIG. P37.7
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