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Consider the image below in which a beam of light travels from one material to another (Material #1 to Material #2 in the image). The velocity of light through Material #1 is $v=2\cdot { 10 }^{ 8 }\text{ m/s}$. The velocity of light through Material #2 is $v=1.25\cdot { 10 }^{ 8 }\text{ m/s}$.

If the angle of incidence is ${ 34.5 }^{ \circ }$, what is the angle of refraction?

A

${ { \theta }_{ 2 } }={ 69.3 }^{ \circ }$

B

${ { \theta }_{ 2 } }={ 20.7 }^{ \circ }$

C

${ { \theta }_{ 2 } }={ 65.0 }^{ \circ }$

D

${ { \theta }_{ 2 } }={ 34.5 }^{ \circ }$

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