Concept explainers
The range of angle for which total internal reflection occurs at the side surface of the material (at point )when a beam of light enters the end of an optic fibre and its index of refraction is greater than .
Answer to Problem 42P
Solution:
It occurs for all angles.
Explanation of Solution
Given:
Medium present outside the material is air. Refractive index, .
Formula used:
Snell’s law:
Where,
is the refractive index of material .
is the refractive index of material .
is the angle of incidence.
is the angle of refraction.
Calculation:
Consider Snell’s law, considering medium is air i.e., =1.
Any angle of incidence is given by-
To achieve total internal reflection angle of incidence should be greater than critical angle . Thus, the critical angle is calculated as-
Thus, we see that so total internal reflection occurs at the side surface of the material (at point )when a beam of light enters the end of an optic fibre.
(b)
The result when fiber were immersed in the water.
Answer to Problem 42P
Solution:
It occurs for
Explanation of Solution
Given:
Medium present outside the material is air. Refractive index, .
Formula used:
Snell’s law:
Where,
is the refractive index of material .
is the refractive index of material .
is the angle of incidence.
is the angle of refraction.
Calculation:
When fiber were immersed in the water Thus, applying Snell’s law we get-
When fiber were immersed in the water, to achieve total internal reflection angle of incident should be greater than .
Chapter 23 Solutions
Physics: Principles with Applications
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