A shift of one fringe in the Michelson-Morley experiment would result from a difference
of one wavelength or a change of one period of vibration in the round-trip travel of the light
when the interferometer is rotated by 90°. What speed would Michelson have computed for
Earth’s motion through the ether had the experiment seen a shift of one fringe?
|
Change in time for the two paths of light:
|
 |
|
So we should find fringes for the extra distance that the light
travels in time t:
|
 |
|
Solving for v:
|
 |
|
Given from the M-M Experiment:
|
 |
|
Solving for v when N=1, or where the first fringe would have been
detected:
|
 |
No comments:
Post a Comment