select the correct answer.\nmaurice directs a beam of light on a sheet of glass at an angle of 51°. what is…

Explanation:

Step1: Recall Snell's law

$n_1\sin\theta_1 = n_2\sin\theta_2$. Assume the light is coming from air, so $n_1 = 1$, $\theta_1=51^{\circ}$, and $n_2 = 1.46$.

Step2: Solve for $\theta_2$

$\sin\theta_2=\frac{n_1\sin\theta_1}{n_2}=\frac{1\times\sin(51^{\circ})}{1.46}$. $\sin(51^{\circ})\approx0.777$, so $\sin\theta_2=\frac{0.777}{1.46}\approx0.532$. $\theta_2=\arcsin(0.532)\approx32^{\circ}$.

Answer:

C. $32^{\circ}$