Concept explainers
(a)
Critical angle
Answer to Problem 42QAP
Critical angle is
Explanation of Solution
Given:
Angle of refraction
Let the critical angle be
Refractive index of plastic
Refractive index of air
Formula used:
Apply the refraction condition from Snell's Law,
Here, all alphabets are in their usual meanings.
Calculation:
Apply the refraction condition from Snell's Law,
Hence, the critical angle is
Conclusion:
Thus, the critical angle is
(b)
Critical angle
Answer to Problem 42QAP
Critical angle is
Explanation of Solution
Given:
Angle of refraction
Let the critical angle be
Refractive index of water
Refractive index of air
Formula used:
Apply the refraction condition from Snell's Law,
Here, all alphabets are in their usual meanings.
Calculation:
Apply the refraction condition from Snell's Law,
Hence, the critical angle is
Conclusion:
Thus, the critical angle is
(c)
Critical angle
Answer to Problem 42QAP
Critical angle is
Explanation of Solution
Given:
Angle of refraction
Let the critical angle be
Refractive index of glass
Refractive index of water
Formula used:
Apply the refraction condition from Snell's Law,
Here, all alphabets are in their usual meanings.
Calculation:
Apply the refraction condition from Snell's Law,
Hence, the critical angle is
Conclusion:
Thus, the critical angle is
(d)
Critical angle
Answer to Problem 42QAP
Critical angle is
Explanation of Solution
Given:
NOTE: in the given question, light goes from air to glass which is impossible at critical angle. It should be from glass to air.
Angle of refraction
Let the critical angle be
Refractive index of air
Refractive index of glass
Formula used:
Apply the refraction condition from Snell's Law,
Here, all alphabets are in their usual meanings.
Calculation:
Apply the refraction condition from Snell's Law,
Hence, the critical angle is
Conclusion:
Thus, the critical angle is
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Chapter 23 Solutions
COLLEGE PHYSICS,VOLUME 1
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