Question

Calcule o índice de refração do líquido pela lei do sneel - Descartes


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Answer 1

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$\large\boxed{\sf{\underline{Lei~de~Sne\ell \ell-Descartes}}}$

$\boxed{\boxed{\boxed{\boxed{\sf{n_1sen(\theta_1)=n_2sen(\theta_2)}}}}}$

$\dotfill$

$\rm{\underline{Dados}:}\\\sf{n_1=\sqrt{3}~~n_2=? ~~\theta_1=30^{\circ}~~\theta_2=45^{\circ}}$

$\tt{\underline{soluc_{\!\!,}\tilde{a}o}}\\\sf{n_1sen(\theta_1)=n_2sen(\theta_2)}\\\sf{\sqrt{3}sen(30^{\circ})=n_2sen(45^{\circ})}\\\sf{\sqrt{3}\cdot\dfrac{1}{\diagup\!\!\!\!2}=n_2\cdot\dfrac{\sqrt{2}}{\diagup\!\!\!\!2}}$

$\sf{n_2\sqrt{2}=\sqrt{3}}\\\sf{n_2=\dfrac{\sqrt{3}}{\sqrt{2}}}\\\sf{n_2=\dfrac{\sqrt{3}}{\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{3}}{\sqrt{2^{\diagup\!\!\!\!2}}}}$

$\huge\boxed{\boxed{\boxed{\boxed{\sf{n_2=\dfrac{\sqrt{6}}{2}}}}}}$