# Ohlone College Laser Beam Sketch of The Setup Sketch Making

I’m studying for my Physics class and don’t understand how to answer this. Can you help me study?

Consider red laser light of wavelength

$632$

nm that travels along the

$x$

axis through a slab of a specially designed material of length

$102$

cm with refractive index that varies as

$n$

(x)=1.5+bx2, where

$b$

is a constant and

$x$

represents position in

$m$

eters relative to the left end of the slab. Light enters on the left end of the slab at

$x$

=0.

1. Draw a clear Figure with labels to show the setup.
2. What are the units of
$b$

? Justify.

3. Find the value of
$b$

if light takes

$6.8$

ns to travel through the material. Show all work in clear steps.

4. Find the total phase change of light during its travel through the material. Show all work in clear steps.
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