How Does the Kennedy-Thorndike Experiment Address the Ether Wind Hypothesis?

[unscientific]

Homework Statement

In this problem i take the maximum relative velocity of ether wind to be (u + v) where they both complement each other..

The Attempt at a Solution

Not sure how they ended up with a '4uv' term..

 

[unscientific]

Would appreciate any help..

 

[TSny]

In this problem i take the maximum relative velocity of ether wind to be (u + v) where they both complement each other..

Good. What would the minimum relative velocity be during the day? δ is the change in Δt(c/λ) in going from maximum to minimum relative velocity.

 

[unscientific]

Good. What would the minimum relative velocity be during the day? δ is the change in Δt(c/λ) in going from maximum to minimum relative velocity.

I got very close to the answer, just that my term had a '2uv' instead of a '4uv'..

 

[TSny]

Did you calculate Δt for both the maximum and minimum velocity relative to the ether and then take the difference between these two Δt's? Also note the initial factor of 2 in the expression for Δt.

 

[unscientific]

Did you calculate Δt for both the maximum and minimum velocity relative to the ether and then take the difference between these two Δt's? Also note the initial factor of 2 in the expression for Δt.

Yes, but there is a factor of (1/2) beside the square...

 

[unscientific]

Ah, I see my mistake now..