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(16%) Problem 5: Consider a diamond surrounded by air. Red Orange Yellow Green B

ID: 1606690 • Letter: #

Question

(16%) Problem 5: Consider a diamond surrounded by air. Red Orange Yellow Green Blue Violet Medium (660 nm) (610 nm) (580 nm) (550 nm (470 nm) (410 nm) 1.331 1.332 1.333 1.335 1.338 1.342 Diamond 2.410 2.415 2.417 2.426 2.444 2.458 Glass 1.512 1.514 1.518 1.519 1.524 1.530 crown Glass, 1.674 1.684 1.698 1.662 1.665 1.667 Polystyrene 1,488 1.490 1.492 1,493 1.499 1.506 Quartz, 1.455 1.456 1.458 1.459 1.462 1,468 Otheexpertta.com GA By how much (in degrees do the critical angles for total internal reflection differ for red (660 nm) light compared to violet (410 nm) light? Grade Summary Deductions 0% 100% Potential

Explanation / Answer

critical angle C = sin^-1(1/n)


for red


n = 2.41

critical angle thetaR = sin^-1(1/2.41) = 24.5 degrees

for red


n = 2.458

critical angle theta V = sin^-1(1/2.458) = 24 degrees


difference = 24.5 - 24 = 0.5 degrees <<<<-----answer