Concept explainers
The angle of deviation of the ray.
Answer to Problem 17P
The angle of deviation of the ray is
Explanation of Solution
The diagram is shown in figure 1.
To find
The sum of the angles of the triangle must be
Rewrite the above equation for
Given that the value of
Here,
Substitute
The index of refraction of air is
Write the Snell’s law.
Here,
Rewrite the above equation for
Substitute
In the triangle formed by the ray crossing the prism and the two surfaces of the prism, the angles are
Rewrite t equation (I) for
Substitute
To find the angle
Rewrite the above equation for
Substitute
On entering into the prism, the ray is deviated down by the angle
Write the equation for the net deviation.
Here,
Put equation (I) in the above equation.
Conclusion:
Substitute
Therefore, the angle of deviation of the ray is
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Chapter 23 Solutions
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