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last day (15 days later) »

satan 29

09:43

Buraian

Hello did you ever figure out this one

Q: Confusion regarding Young's double slit experiment in different media

The Problem Consider the given arrangement: Point $P$ is equidistant from $S_1$ and $S_2$ .The glass slab in air has refractive index $\mu_{2}$, and the one in water($\mu_{1}$) has refractive index $\mu_{3}$. We need to find the relation between $\mu_{2}$ and $\mu_{3}$ such that $P$ is the cent...

satan 29

my original approach was correct.

Buraian

the key was wrong?

satan 29

$\mu_{2}+\mu_{1}-1 = \mu_{3}$

is the correct answer.

Buraian

Could you explain how you derived the equation for it?

This one

satan 29

09:46

optical path length= refractive index * geometric path length

Buraian

yes , so how have you applied that for multipile mediums

satan 29

optical path 1 = uair * x1

optical path 2= u water * x2

Buraian

yes

satan 29

x1= t[whatever], and likewise for x2

Buraian

satan 29

09:56

actually, this was a confusing approach. The geometric path length was just obtained by dividing the optical path by u. We really only need the optical path.

consider the top ray.

it travels a distance t in u2, and x-t in u1

so u2*t+u1(x-t) is the optical path

similarly, u3*t + u1(x-t) is the optical path for the other one

ohh no wait Ignore this

I missed the fact that one of the slabs is inside water

satan 29

10:11