Problem $5$: $(9\%$ of Assignment Value$)$

A beam of light traveling through a liquid $($of index of refraction $n_1=1\mathrm{.}41)$ is incident on a surface at an angle of ${}_1=58$ with respect to the normal to the surface. It passes into the second medi$$m and refracts at an angle of ${}_2=69\mathrm{.}5$ with respect to the normal.

Randomized Variables

$n_1=1\mathrm{.}41$

${}_1=58$

${}_2=69\mathrm{.}5$

Part $($a$)$

Write an equation for the index of refraction of the second material.

$n_2=$

$$

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Part $($b$)$

What is the index of refraction of the second material?

$n_2=1\mathrm{.}320$

$x$ Attempts Remain

Part $($c$)V$

Numerically, what is the light's velocity in medium $1,$ in meters per second?

$v_1=2\mathrm{.}13**{10}^8$

$v_1=2\mathrm{.}130{10}^8$

$$ Correct!

Part $($d$)$

Numerically, what is the light's velocity in medium $2,$ in meters per, second?

$v_2=2\mathrm{.}27**{10}^8$

$v_2=2\mathrm{.}270{10}^8$

x Attempts Remain