Two rectangular optically flat plates (n = 1.52) are in contact along one end an

Question

Two rectangular optically flat plates (n = 1.52) are in contact along one end and are separated along the other end by a 2.40-µm thick spacer. The top plate is illuminated by monochromatic light of wavelength 545.1 nm. Calculate the number of dark parallel bands crossing the top plate (including the dark band at zero thickness along the edge of contact between the two plates).

? bands

Explanation / Answer

Given that = 545.1 nm n = 1.52 t = 2.40 x 10-6 m nair = 1.00 We know that      for dark bands crossing the glass plate                  2t = m ==>         m = 2 t /                      = 2 x 2.40 x 10-6 / 545.1 x 10-9                      = 8.80 ~ 9 Therefore including dark band at zero we have 9 + 1 = 10 bands

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