ANSWER:
2nd option: 1.77
STEP-BY-STEP EXPLANATION:
Given:
Angle medium 1 = 45°
Angle medium 2 = 41.3°
n medium 1 = 1.65
We can determine the index of refraction of the second medium using the following formula:
[tex]\begin{gathered} n_1\cdot\sin\theta_1=n_2\cdot\sin\theta_2 \\ \\ \text{ We replacing} \\ \\ \:1.65\cdot\sin45\degree=n_2\cdot\sin41.3°\:\: \\ \\ n_2=\frac{1.65\cdot\sin45\degree}{\sin41.3\degree} \\ \\ n_2=1.77 \end{gathered}[/tex]The index of refraction the new medium is equal to 1.77
Therefore, the correct answer is 2nd option: 1.77
