Part A. A Young's double-slit apparatus has slit separation mm and screen distance m,…

PHYSICS · Subjective · Fermi University Physics · Optics & Photonics · Interference and diffraction · Interference and diffraction

Optics and Photonics, Ch Two-beam interference and interferometry

Problem

Part A. A Young's double-slit apparatus has slit separation d=0.25d = 0.25 mm and screen distance L=1.0L = 1.0 m, illuminated by a helium-neon laser at λ=633\lambda = 633 nm. A thin sheet of mica, index ng=1.58n_g = 1.58 and thickness t=8.0 μmt = 8.0\ \mu\text{m}, is placed over one slit only. (a) By how many fringe widths does the pattern shift? (b) Express this shift in millimetres on the screen. Part B. A Michelson interferometer has a gas cell of length ℓ=8.00\ell = 8.00 cm in one arm. Filling it with argon at λ1=546\lambda_1 = 546 nm (filtered mercury green line) gives N1=100N_1 = 100 fringes. (a) Find n−1n-1 for argon at 546546 nm. (b) Predict the fringe count N2N_2 at λ2=405\lambda_2 = 405 nm, assuming n−1n-1 is unchanged.

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