If the Michel son -motley experiment is analyzed as if the ether exists, then th

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If the Michel son -motley experiment is analyzed as if the ether exists, then the round 1 trip time (beam splitter to mirror and back) along the path parallel to the velocity of the j lab relative to the ether is given by delta t_par =2l/c(1 -v^2/c^2)^-1 (arm 2 in text). The same quantity for the path perpendicular to v is given by t_par =2l/c(1 -v^2/c^2)^-1/2 (arm 1 in text). v is the speed of the lab relative to the ether, and L is the distance from the beam splitter to each mirror. Imagine that the experiment was performed with the lasers you used in lab, which emit light with a wavelength of 6.328 times 10^7 m^1, using a very large interferometer, where L=3.0 m. Also assume, for calculation purposes, that the speed of the lab relative to the ether is very large. That is, let v=0.2 c. Determine the total number of cycles that the laser light executes as it passes from the beam splitter to the mirror and back along the "parallel path". Repeat for "perpendicular path". Assume that your results from part a were actually observed. How do they indicate the lab's motion through the ether? How do your predicted results differ from the actual experimental results obtained by Michelson and Morley? The light travels a distance 2L along each path (up and back). According to the formulas given for the elapsed times above is it travelling at the same speed along each path? Explain/Show how you know. What does this have to do with the assumed existence of the ether? Explain how you know. If c is the speed of light, f the frequency and X the wavelength of a monochromatic (single Frequency) light wave: c=W. The term "rest frame" describes a reference frame at rest with an object. The object may be in motion relative to other reference frames.

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