Solve the problem.
-Snell's Law states that $\frac { c _ { 1 } } { c _ { 2 } } = \frac { \sin \theta _ { 1 } } { \sin \theta _ { 2 } }$. Use this law to find the requested value. If $c _ { 1 } = 7 \times 10 ^ { 7 }$, $\theta _ { 1 } = 48 ^ { \circ }$, and $\theta _ { 2 } = 33 ^ { \circ }$, find $c _ { 2 }$.
A) $\mathrm { c } _ { 2 } = 4.89 \times 10 ^ { 9 }$
B) $c _ { 2 } = 5.13 \times 10 ^ { 6 }$
C) $c _ { 2 } = 5.66 \times 10 ^ { 7 }$
D) $\mathrm { c } _ { 2 } = 5.13 \times 10 ^ { 7 }$

Question

Quizplus · Accepted Answer

Using Snell's Law, we can solve for $c_2$ by rearranging the formula to $c_2 = c_1 \times \frac{\sin \theta_2}{\sin \theta_1}$. Substituting the given values, $c_2 = 7 \times 10^7 \times \frac{\sin 33^\circ}{\sin 48^\circ}$, which calculates to approximately $5.13 \times 10^7$.

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