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Hi, I'm confused on how to get 15.6 from this question.

Hi, I'm confused on how to get 15.6 from this question.-example-1
User Patz
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1 Answer

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In order to calculate the angle of refraction, we can use the law of refraction below:


n_1sin\theta_1=n_2sin\theta_2

Where n1 and n2 are the index of refraction and theta1 and theta2 are the incident angle and the refraction angle.

So, using n1 = 1.0003, n2 = 2.42 and theta1 = 40.5°, we have:


\begin{gathered} 1.0003*sin\left(40.5°\right)=2.42*sin\theta_2 \\ 1.0003*0.649448=2.42*sin\theta_2 \\ 0.6496428=2.42*sin\theta_2 \\ sin\theta_2=(0.6496428)/(2.42) \\ sin\theta_2=0.268447438 \\ \theta_2=15.6° \end{gathered}

Therefore the angle of refraction is 15.6°.

User Sandra Pazos
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