Concept explainers
The index of refraction of the prism.
Answer to Problem 85GP
Solution:
Since the ray is totally internally reflected at the opposite side, we will use the concept of critical angle. Critical angle for glass air is .
Explanation of Solution
If the ray strike at the angle greater than critical angle, then only it will be totally internally reflected.
Given:
Apex angle of prism
Incident angle of the ray at the first side is
Formula used:
(1)Apex angle where r1 and r2 are refraction angle on both the sides.
(2)Critical angle of glass –air interface is .
(3)Snell’s law , where and are refractive index of two mediums.
Calculation:
Assume angle of refraction at air prism side is and at prism –air side is
For internal reflection should be more than , minimum should be .
So, from apex angle formula
from Snell’s law at air-prism interface on first side
Chapter 23 Solutions
Physics: Principles with Applications
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