Concept explainers
A ray of light strikes a flat, 2.00-cm-thick block of glass (n = 1.50) at ail angle of 30.0° with respect to the normal (Fig. P22.18). (a) Find the angle of refraction at the lop surface. (b) Find the angle of incidence at the bottom surface and the refracted angle. (c) Find the lateral distance d by which the light beam is shifted. (d) Calculate the
(a)
Answer to Problem 18P
Explanation of Solution
From Snell’s law, at the first surface,
Here,
Substitute
Conclusion:
Thus, the angle of refraction at the top surface is
(b)
Answer to Problem 18P
Explanation of Solution
The upper surface and the lower surface are parallel, the angle of incidence at the lower surface will be
The angle of refraction is,
Substitute
Conclusion:
Thus, the angle of incidence at the bottom surface is
(c)
Answer to Problem 18P
Explanation of Solution
The following diagram shows the sketch of the path of the ray.
From the figure,
Also,
Thus, the lateral distance by which the light beam is shifted is,
Conclusion:
Thus, the lateral distance by which the light beam is shifted is
(d)
Answer to Problem 18P
Explanation of Solution
The equation for the speed of light in glass is,
Substitute
Conclusion:
Thus, the speed of light in the glass is
(e)
Answer to Problem 18P
Explanation of Solution
The equation for time required for the light to travel through the glass is,
Substitute
Conclusion:
Thus, the time required for the light to travel through the glass is
(f)
Answer to Problem 18P
Explanation of Solution
A change in the angle of incidence will cause a change in the angle of refraction. Thus, the distance the distance travelled by the light also changes. So, the travel time will also change.
Conclusion:
Yes, the travel time through the block is affected by the angle of incidence.
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Chapter 22 Solutions
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