Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
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Chapter 1, Problem 1.18P
To determine
To prove:
change in shift is
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One of the difficulties with the Michelson Morley experiment is that several extraneous effects (mechanical vibrations, variations of temperature, etc) can produce unwanted shifts in the interference pattern, masking the expected shift of interest. Suppose, for example, that during the experiment the temperature of one arm of the interferometer were to rise by deltaT. This would increase the arm’s length (L) by delta(L) =aLdeltaT, where a=10-5 is the arm’s coefficient of expansion. a) Symbolically, express the shift delta(N) that this temperature change would cause (in terms of a, L, deltaT, and lamda).b) Calculate deltaN for lamda=590nm, L=50cm, and deltaT=0.01 C. c) Make a conclusion about the importance of careful temperature control in the experiment by comparing result in b) with the expected shift deltaN (without temperature correction). Hint: we calculated the expected shift in class for different dimensions of the Michelson Interferometer.
Michelson-Morley Experiment. A shift of one fringe in the Michelson-Morley
experiment corresponds to a change in the round-trip travel time along one arm
of the interferometer by one period of vibration of light (about 2 X 10-15 s) when
the apparatus is rotated by 90. Based on the results of such experiment, what
velocity through the ether would be deduced from a shift of one fringe? (Take the
length of the interferometer arm to be 11 m.)
Michelson and Morley were able to obtain an optical path length l4 + lz of about 22 m.
Apparatus had nearly equal arm lengths l = l2 = 1. If 1 = 5.5 × 10-7m and v/c=
10-4, calculate the expected fringe shift for ether to exist.
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Chapter 1 Solutions
Modern Physics For Scientists And Engineers
Ch. 1 - Prob. 1.1PCh. 1 - Prob. 1.2PCh. 1 - Prob. 1.3PCh. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - Prob. 1.6PCh. 1 - Prob. 1.7PCh. 1 - Prob. 1.8PCh. 1 - Prob. 1.9PCh. 1 - Prob. 1.10P
Ch. 1 - Prob. 1.11PCh. 1 - Prob. 1.12PCh. 1 - Prob. 1.13PCh. 1 - Prob. 1.14PCh. 1 - Prob. 1.15PCh. 1 - Prob. 1.16PCh. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Prob. 1.20PCh. 1 - Prob. 1.21PCh. 1 - Prob. 1.22PCh. 1 - Prob. 1.23PCh. 1 - Prob. 1.24PCh. 1 - Prob. 1.25PCh. 1 - Prob. 1.26PCh. 1 - Prob. 1.27PCh. 1 - Prob. 1.28PCh. 1 - Prob. 1.29PCh. 1 - Prob. 1.30PCh. 1 - Prob. 1.31PCh. 1 - Prob. 1.32PCh. 1 - Prob. 1.33PCh. 1 - Prob. 1.34PCh. 1 - Prob. 1.35PCh. 1 - Prob. 1.36PCh. 1 - Prob. 1.37PCh. 1 - Prob. 1.38PCh. 1 - Prob. 1.39PCh. 1 - Prob. 1.40PCh. 1 - Prob. 1.41PCh. 1 - Prob. 1.42PCh. 1 - Prob. 1.43PCh. 1 - Prob. 1.44PCh. 1 - Prob. 1.45PCh. 1 - Prob. 1.46PCh. 1 - Prob. 1.47PCh. 1 - Prob. 1.48PCh. 1 - Prob. 1.49PCh. 1 - Prob. 1.50PCh. 1 - Prob. 1.51PCh. 1 - Prob. 1.52PCh. 1 - Prob. 1.53P
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