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36.16 • Uma luz monocromática de comprimento de onda de 592 nm, vinda de uma fonte distante, passa por uma fenda com 0,0290 mm de largura. Na figur...

36.16 • Uma luz monocromática de comprimento de onda de 592 nm, vinda de uma fonte distante, passa por uma fenda com 0,0290 mm de largura. Na figura de difração resultante, a intensidade no centro do máximo central (8 = Oº) é 4,00 X 10-5 W/m2. Qual é a intensidade em um ponto na tela que corresponde a (J = 1,20º?

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Para resolver esse problema, podemos utilizar a equação da intensidade de difração de uma fenda simples: I = (P/4πr²)² (λ/α)² sin²(α/2) Onde: - I é a intensidade da luz difratada; - P é a potência da fonte de luz; - r é a distância entre a fenda e a tela; - λ é o comprimento de onda da luz; - α é o ângulo de desvio em relação ao eixo central da fenda. No centro do máximo central, temos α = 0, portanto: I0 = (P/4πr²)² (λ/α)² sin²(α/2) 4,00 x 10^-5 = (P/4πr²)² (592 x 10^-9/0,0290 x 10^-3)² sin²(0/2) 4,00 x 10^-5 = (P/4πr²)² (0,592/0,0290)² x 1 P/4πr² = √(4,00 x 10^-5 / (0,592/0,0290)²) P/4πr² = 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