Please help! A mica sheet is 1.2 m thick. The sheet is suspended inair and illum
ID: 1749883 • Letter: P
Question
Please help! A mica sheet is 1.2 m thick. The sheet is suspended inair and illuminated with white light. There is destructiveinterference for 421, 474, 542, and 633 nm. Find the index ofrefraction of the mica. Please help! A mica sheet is 1.2 m thick. The sheet is suspended inair and illuminated with white light. There is destructiveinterference for 421, 474, 542, and 633 nm. Find the index ofrefraction of the mica.Explanation / Answer
t = 1.2 m, 1 = 421 nm, 2 = 474 nm, 3 = 542 nm, 4 = 633nm. find n destructive interference: 2nt = /2 = (k + 1/2), or 2nt = k1*1, so n = k1*1/(2t) = k1*(421/2400) note n > 1, so we get n = 1,05, 1.23, 1.40, 1.58, ....for k1 =6, 7, 8, 9, ... similarly, for 2 we get n = 1.19, 1.28, 1.58.... for 3 we get n = 1.13, 1.36, 1.58.... for 4 we get n = 1.06, 1.32, 1.58.... the common value for different is 1.58 n = 1.58