Problem $1$: $(20\%$ of Assignment Value$)$

A beam of light containing orange and violet wavelengths passes from fused quartz into water, striking the surface between them at a $45$ incident angle with respect to the normal. For the questions that follow, use the table below.

Index of refraction at various wavelengths for specified materials. color and wavelength

$\backslash$table$[[$medium$,$color and wavelength$],[$red $(660$ nm$),$orange $(610nm),\backslash$table$[[$yellow$],[(580nm)]],$green $(550nm),$blue $(470nm),\backslash$table$[[$violet$],[(410$ nm$)]]],[$water$,1\mathrm{.}331,1\mathrm{.}332,1\mathrm{.}333,1\mathrm{.}335,1\mathrm{.}338,1\mathrm{.}342],[$diamond$,2\mathrm{.}410,2\mathrm{.}415,2\mathrm{.}417,2\mathrm{.}426,2\mathrm{.}444,2\mathrm{.}458],[$glass $($crown$),1\mathrm{.}512,1\mathrm{.}514,1\mathrm{.}518,1\mathrm{.}519,1\mathrm{.}524,1\mathrm{.}530],[$glass $($flint$),1\mathrm{.}662,1\mathrm{.}665,1\mathrm{.}667,1\mathrm{.}674,1\mathrm{.}684,1\mathrm{.}698],[$polystyrene$,1\mathrm{.}488,1\mathrm{.}490,1\mathrm{.}492,1\mathrm{.}493,1\mathrm{.}499,1\mathrm{.}506],[$quart $($fused$),1\mathrm{.}455,1\mathrm{.}456,1\mathrm{.}458,1\mathrm{.}459,1\mathrm{.}462,1\mathrm{.}468]]$

What is the angle, in degrees, between the rays of the two colors in the water?

${}_v-{}_0=$

$-$

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Feedback: $0\%$ deduction per feedback.Problem $1$: $(20\%$ of Assignment Value$)$

A beam of light containing orange and violet wavelengths passes from fused quartz into water, striking the surface between them at a $45$ incident angle with respect to the normal. For the questions that follow, use the table below.

Index of refraction at various wavelengths for specified materials. color and wavelength

$\backslash$table$[[$medium$,$color and wavelength$],[$red $(660$ nm$),$orange $(610nm),\backslash$table$[[$yellow$],[(580nm)]],$green $(550nm),$blue $(470nm),\backslash$table$[[$violet$],[(410$ nm$)]]],[$water$,1\mathrm{.}331,1\mathrm{.}332,1\mathrm{.}333,1\mathrm{.}335,1\mathrm{.}338,1\mathrm{.}342],[$diamond$,2\mathrm{.}410,2\mathrm{.}415,2\mathrm{.}417,2\mathrm{.}426,2\mathrm{.}444,2\mathrm{.}458],[$glass $($crown$),1\mathrm{.}512,1\mathrm{.}514,1\mathrm{.}518,1\mathrm{.}519,1\mathrm{.}524,1\mathrm{.}530],[$glass $($flint$),1\mathrm{.}662,1\mathrm{.}665,1\mathrm{.}667,1\mathrm{.}674,1\mathrm{.}684,1\mathrm{.}698],[$polystyrene$,1\mathrm{.}488,1\mathrm{.}490,1\mathrm{.}492,1\mathrm{.}493,1\mathrm{.}499,1\mathrm{.}506],[$quart $($fused$),1\mathrm{.}455,1\mathrm{.}456,1\mathrm{.}458,1\mathrm{.}459,1\mathrm{.}462,1\mathrm{.}468]]$

What is the angle, in degrees, between the rays of the two colors in the water?

${}_v-{}_0=$

$-$

Feedback I give up$!$

$17$ Submission$($s$)$ Remaining

Hints: $$ deduction per hint. Hints remaining: $1$

Feedback: $0\%$ deduction per feedback.