The first question is a ranking task. You must both provide the ranking and expl

Question

The first question is a ranking task. You must both provide the ranking and explain your rationale for your ranking. Although a picture may be sufficient, you must make certain that your reasoning is obvious either through pictures and/or words. There is no partial credit for the ranking task. Submit your numerical answer with at most three significant figures. Do not round off intermediate values until you reach your final answer. All numerical answers must have units. The three figures to right show the interference pattern from three double slit experiments conducted with the same double slit setup, but three different frequencies of light. The center line of the pattern is indicated by the dashed line and the 'x' on each figure is at the center of the m = 2 maximum. Rank the three experiments by the frequency of light used to create the interference pattern. Rank the three experiments by Delta Phi, the total phase difference between the waves emanating from the two slits at the 'x' in each experiment.

Explanation / Answer

distance of bright from center = x = mLR/d

L = wavelength = c/f

R = distance of the screen   from slit

d = slit width

x = 2cR/fd

x is inversely proportional to f

xB < xA < xc

fB > fA > fc

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path difference = mL

phase difference = (2pi/L)*path difference = m = 2

A = B = C

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