- #1

- 603

- 6

## Homework Statement

In a Young’s double-slit experiment using light of wavelength

λ, a thin piece of Plexiglas having index of refraction

n covers one of the slits. If the center point on the

screen is a dark spot instead of a bright spot, what is the

minimum thickness of the Plexiglas?

## Homework Equations

## The Attempt at a Solution

If the center is to be a dark spot then the Plexiglas must delay the light by 1/2 λ.

Call the distance from each slit to the center d.

Call the thickness of the glass t.

Therefore

[itex]\frac{d}{\lambda} - (\frac{t}{\lambda/n} + \frac{d-t}{\lambda}) = \frac{1}{2}[/itex]

My reasoning is that this must be true because there is an extra wavelength in one of the paths. The book, however, reverses it. It takes what I have inside the parenthesis and subtracts that from d/λ. Other than that we agree. Why does the book reverse it?