Concept explainers
(a)
The refractive index of the unknown substance.
(a)

Answer to Problem 85P
The refractive index of the unknown substance is
Explanation of Solution
Given that the angle of reflection is
According to the laws of reflection the angle of incidence equals the angle of reflection.
Write the expression of Snell’s law of refraction.
Here,
According to the law of reflection, the angle of incidence is equal to the angle of reflection. Thus, in the given case, the angle of incidence is
Solve equation (I) for
Conclusion:
Substitute
Therefore, the refractive index of the unknown substance is
(b)
The
(b)

Answer to Problem 85P
The speed of the light in the unknown substance is
Explanation of Solution
It is obtained that the refractive index of the unknown substance is
Write the expression for the speed of light in a medium
Here,
Conclusion:
Substitute
Therefore, the speed of the light in the unknown substance is
(c)
The minimum angle of incidence at which the light would undergo total internal reflection.
(c)

Answer to Problem 85P
The minimum angle of incidence at which the light would undergo total internal reflection is
Explanation of Solution
When a light passes from a high refractive index medium to a lower refractive index medium, and if the angle of incidence is greater than the critical angle, the total internal reflection occurs.
Write the expression for the critical angle.
Here,
Use equation (II) in equation (IV).
Conclusion:
Substitute
Therefore, the minimum angle of incidence at which the light would undergo total internal reflection is
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Chapter 23 Solutions
PHYSICS
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