Chapter 33, Problem 58E

(a)

To determine

To prove: To prove that ${\theta }_a={\theta }_a{}^{\text{'}}$ using the figure 1 given below.

(b)

To determine

To show: The part (a) answer is true for any number of different parallel plates.

(c)

To determine

To prove: The lateral displacement $d$ of the emergent beam is given by the relationship $d=t\frac{\sin \left({\theta }_a-{\theta }_b\text{'}\right)}{\cos {\theta }_b\text{'}}$, where $t$ is the thickness of the plate.

(d)

To determine

The lateral displacement between the incident and emergent rays.