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Benzoate
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Homework Statement
Show that the null effect of the michelson morley experiment can be accounted for if the interferometer arm parallel to motion is shortened by a factor of
(1-v^2/c^2)^.5
Homework Equations
V(earth)=29.8 km/s , fringe in MM experiment is .4 ; gamma =sqrt(1-v^2/c^2)
The Attempt at a Solution
In the MM original experiment , .4 fringe/(29.8 km/s)^2 = .00045043
I was supposed to show that the fringe effect from the original experiment is still the same even if I used lorentz transformations right?>
.4 fringe/(v(earth) * gamma)=.4 fringe/((29.5)*^2*sqrt(1-(29.5)^2/c^2))= .00045043
My calculator approximates sqrt(1-v^2/c^2 ) to 1
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