Problem 9.1. How many fringes will pass a reference point if the mirror of a Michelson's interferometer is moved by 0.08 mm. The wavelength of light used is 5800Å.
Data
Displacement of mirror x=0.08mm =0.08× 10-³m
Wavelength of light speed =5800=5800×10-¹⁰m
To find number of fringes m?
Solution
Relationship between and fringes in Michael's interferometer is given by
X=ml/2
M=2×0.08×10-²/5800×10-¹⁰
=2×8×10-⁵ /58 ×10-⁸
=16×10-⁵+⁸/58
0.275×10-⁵ /=275