Question

A monochromatic light passing through several media having different thickness(t), and different refractive index ( $\mu$ ). Identify the increasing order of apparent shifts in different media. (assume that the ray is falling normally)
a) $t=2cm,\mu =1.5$
b) $t=3cm,\mu =1.2$
c) $t=1cm,\mu =1.4$
d) $t=2.5cm,\mu =1.1$

• A. $a,b,c,d$
• B. $c,a,b,d$
• C. $a,b,d,c$
• D. $c,a,d,b$

Answer 1

The correct option is A $a,b,c,d$

Shift $=(1-\frac{1}{\mu })t$
So, substituting values from question we get
a) Shift $=0.666cm$
b) Shift $=0.5cm$
c) Shift $=0.286cm$
d) Shift $=0.227cm$
So, increasing order of depth will be those of lesser shifts so, the order will be a,b,c,d.