
Concept explainers
(a)
The minimum incident angle would ray of light undergo total internal reflection.
(a)

Answer to Problem 40P
Explanation of Solution
The ray diagram for the minimum incident angle is given below:
Formula to calculate the minimum incident angle is,
Here,
Substitute
Conclusion:
Therefore, The minimum incident angle would ray of light undergo total internal reflection is
(b)
The minimum incident angle would ray of light undergo total internal reflection if water is placed over the glass.
(b)

Answer to Problem 40P
Explanation of Solution
The ray diagram for the minimum incident angle for the glass water interface is,
Expressing the formula for the critical angle is,
Here,
Formula to calculate the minimum incident angle is,
Here,
Substitute,
Conclusion:
Therefore, The minimum incident angle would ray of light undergo total internal reflection is
(c)
The effect of the thickness of water layer or glass on the minimum incident angle.
(c)

Answer to Problem 40P
Explanation of Solution
Expression for the minimum incident angle is,
Here,
Thus, the minimum incident angle would ray of light undergo total internal reflection does not depend on the thickness of the water layer of glass layer.
Conclusion:
Therefore, the minimum incident angle would ray of light undergo total internal reflection does not depend on the thickness of the water layer of glass layer.
(d)
The effect of the refractive index of the intervening layer on the minimum incident angle.
(d)

Answer to Problem 40P
Explanation of Solution
Expression for the minimum incident angle is,
Here,
Conclusion:
Therefore, the minimum incident angle would ray of light undergo total internal reflection does not depend on the refractive index of the intervening layer.
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Chapter 22 Solutions
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