- #1
Sleve123
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Homework Statement
i) Two waves travel between two points along paths that have the same length 4.7 x 10^-7 m, one travels in a medium having a refractive index of 3.5 while the other travels through a vacuum, how long does in take for each wave to travel between the points?
ii) If the two waves interfere destructively as the second point what is the max wavelength of the wave in the vacuum?
Homework Equations
i) Speed of Wave in Vacuum / Speed of Wave in Medium = Refractive Index
Time = Distance / Speed
ii) ASin(omega x time vacuum) + Asin(omega x time medium) = 0 ??
The Attempt at a Solution
i) time in vacuum = 4.7 x 10^-7 / 3 x10^8 = 1.57 fs
time in medium is 3.5 times longer therefore equals 5.49 fs
ii) This is where I get stuck, I've tried with that equation to find the points at which the amplitudes of the waves sum up to zero, I've done this in excel and I get the max wavelenght in a vacuum to be five times the distance between the points, but I'm not really sure how to go about htis question.