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PHYS 260 - prob_set_1

# PHYS 260 - prob_set_1 - θ with respect to the wind(The two...

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PHYS 260 Problem Set 1 due date: Wednesday, September 15, 2010 1. In one arm of a Michelson interferometer there is placed a closed tube of length 0.2 m with transparent end pieces through which the light passes freely. A fringe pattern is observed using light of wavelength 5 . 9 × 10 - 7 m, and then the air is evacuated out of the tube. By how many fringes will the fringe pattern shift? The speed of light in air is (1 - 2 . 9 × 10 - 4 ) c 2. The analysis of the Michelson-Morley experiment is normally done for the case where one arm is parallel to the ether wind and one arm is perpendicular to it. Consider the more general case where one arm is at an angle of
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Unformatted text preview: θ with respect to the wind. (The two arms are still perpendicular to each other.) Show that for equal arms of length l , the time diFerence for the two paths is approximately Δ t ( θ ) = v 2 lcos 2 θ/c 3 3. The space and time coordinates of two events, as measured in a frame S are as follows: Event 1 : x 1 = x , t 1 = x /c, y 1 = 0 , z 1 = 0 Event 2 : x 2 = 2 x , t 2 = x / 2 c, y 1 = 0 , z 1 = 0 (a) There exists a frame in which these events occur at the same time. ±ind the velocity of this frame with respect to S . (b) What is the value of t at which both events occur in this frame?...
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