Light entering an optically less dense material from an optically denser medium

ble $3$

$\backslash$table$[[\backslash$table$[[$Medium $1],[$glass$]],\backslash$table$[[$Medium $2],[$water$]]],[{}_1(deg),{}_2($deg$)$ measured,${}_2(deg)$ calculated,$\%$ error$],[10,4,11\mathrm{.}29,2\mathrm{.}57],[20,22,22\mathrm{.}69,3\mathrm{.}04],[30,34,34\mathrm{.}3\mathrm{.}3,0\mathrm{.}96],[40,46,46\mathrm{.}46,0\mathrm{.}99],[50,59,59\mathrm{.}76,1\mathrm{.}27],[60,76\mathrm{.}5,77\mathrm{.}61,1\mathrm{.}43]]$

Critical angle ${}_c$ measured: $q,63q,$

Critical angle ${}_c$ calculated: $q,$

$,{}_c=si{n}^{-1}(\frac{n}{n_1})$

${}_c=si{n}^{-1}(\frac{1\mathrm{.}33}{1\mathrm{.}50})$

${}_c=62\mathrm{.}49$

Percent error of ${}_c=\frac{0\mathrm{.}82\%(\frac{62\mathrm{.}49\mathrm{.}63}{62\mathrm{.}49})100}{(Show\text{y}\text{o}\text{u}\text{r}\text{w}\text{o}\text{r}\text{k}\text{.}\text{D}\text{o}\text{n}\text{'}\text{t}\text{f}\text{o}\text{r}\text{g}\text{e}\text{t}\text{u}\text{n}\text{i}\text{t}\text{s}\text{.})}$

$($Show your work. Don't forget units.$)$

Part IV: Refractive index of an unknown material

Table $4$

$\backslash$table$[[\backslash$table$[[$Medium $1],[$air$]],\backslash$table$[[$Medium $2],[$Mystery $A$