Calculating Light's Travel Time Through Layered Media

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Homework Statement



A 5.9cm-thick layer of oil (n=1.46) is sandwiched between a 1.3cm -thick sheet of glass and a 2.4cm-thick sheet of polystyrene plastic (n=1.59)

How long (in ns) does it take light incident perpendicular to the glass to pass through this 9.6cm -thick sandwich?

Homework Equations



n=c/v

v=fλ


The Attempt at a Solution





I am very confused to this problem because I am unsure of how to incorporate the length of the different mediums into the equations.
 
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Hi.
You only need your first equation to give you v in each medium, as a function of c. Now given the value of the speed of light (which you can express in cm/s), the question is similar to:
if i walk through a A-meters wide park at B meters/s then across a C-meters wide boulevard at D meters/s, how long did it take me?..
 
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Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?

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