Two rectangular, optically flat glass plates (index of refraction 1.46) are in c

Question

Two rectangular, optically flat glass plates (index of refraction 1.46) are in contact along one end and are separated along the other end by a spacer that is 3.63 mum thick. The top plate is illuminated by monochromatic light of wavelength 511.2 nm. Calculate the number of dark parallel bands crossing the top plate (including the dark band at zero thickness along the line of contact between the two plates). The last dark band is to be counted if and only if its center (where the intensity is zero) is present. Answer in units of dark fringes

Explanation / Answer

n = 1.46, = 511.2 nm, t = 3.63 m

2nt = k

k = 2nt/ = 20.7, so the largest k is 20, total 21 dark fringes.

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