Solve the Problem Using Snell's Law $$\frac { \sin \theta _ { 1 } } { \sin \theta _ { 2 } } = \frac { v _ { 1 } } { v _ { 2 } }$$

Multiple Choice

Solve the problem using Snell's Law: $$\frac { \sin \theta _ { 1 } } { \sin \theta _ { 2 } } = \frac { v _ { 1 } } { v _ { 2 } }$$
-A light beam in air travels at $2.99 \times 10 ^ { 8 }$ meters per second. If its angle of incidence to a second medium is $42 ^ { \circ }$ and its angle of refraction in the second medium is $32 ^ { \circ }$ , what is its speed in the second medium (to two decimal places) ?

A) $1.58 \times 10 ^ { 8 } \mathrm { mps }$
B) $3.78 \times 10 ^ { 8 } \mathrm { mps }$
C) $2.37 \times 10 ^ { 8 }$ mps
D) $2.00 \times 10 ^ { 8 } \mathrm { mps }$