QuestionJune 5, 2025

11. In Snell's Law the ratio of the indices is related to the inverse ratio of the __ of the angles. square cosine tangent natural log sine

11. In Snell's Law the ratio of the indices is related to the inverse ratio of the __ of the angles. square cosine tangent natural log sine
11. In Snell's Law the ratio of the indices is related to the inverse ratio of the __ of the angles. square cosine tangent natural log sine

Solution
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Answer

sine Explanation 1. Identify Snell's Law Snell's Law is given by **n_1 \sin(\theta_1) = n_2 \sin(\theta_2)**, where n_1 and n_2 are the indices of refraction, and \theta_1 and \theta_2 are the angles of incidence and refraction. 2. Analyze the Ratio The ratio of the indices n_1/n_2 is related to the inverse ratio of the **sine** of the angles, as per Snell's Law: \frac{n_1}{n_2} = \frac{\sin(\theta_2)}{\sin(\theta_1)}.

Explanation

1. Identify Snell's Law<br /> Snell's Law is given by **$n_1 \sin(\theta_1) = n_2 \sin(\theta_2)$**, where $n_1$ and $n_2$ are the indices of refraction, and $\theta_1$ and $\theta_2$ are the angles of incidence and refraction.<br /><br />2. Analyze the Ratio<br /> The ratio of the indices $n_1/n_2$ is related to the inverse ratio of the **sine** of the angles, as per Snell's Law: $\frac{n_1}{n_2} = \frac{\sin(\theta_2)}{\sin(\theta_1)}$.
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