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A slab of the refractive index is placed in the air and a light is incident at maximum angle theta from vertical find minimum of u for which total internal reflection take place at the vertical surface?
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A slab of the refractive index is placed in the air and a light is inc...
Introduction
When considering light incident on a slab of refractive index n placed in air, total internal reflection occurs at the vertical surface when certain conditions are met. This phenomenon is crucial in understanding optical fibers and various optical devices.
Conditions for Total Internal Reflection
For total internal reflection to occur, the following conditions must be satisfied:
Critical Angle Calculation
The critical angle can be determined using Snell's Law. The critical angle is defined as:
Since n₂ (air) is 1:
Minimum Incident Angle for Total Internal Reflection
For total internal reflection to take place at the vertical surface, the angle of incidence must be greater than the critical angle:
Conclusion
To ensure total internal reflection at the vertical surface of a slab in the air, the incident angle must be greater than arcsin(1/n). Understanding this concept is vital for applications in optics and photonics.
When considering light incident on a slab of refractive index n placed in air, total internal reflection occurs at the vertical surface when certain conditions are met. This phenomenon is crucial in understanding optical fibers and various optical devices.
Conditions for Total Internal Reflection
For total internal reflection to occur, the following conditions must be satisfied:
- Refractive Indices: The refractive index of the slab (n) must be greater than the refractive index of air (approximately 1).
- Incident Angle: The angle of incidence (theta) must exceed the critical angle (C).
Critical Angle Calculation
The critical angle can be determined using Snell's Law. The critical angle is defined as:
- C = arcsin(n₂/n₁): Where n₁ is the refractive index of the slab and n₂ is the refractive index of air.
Since n₂ (air) is 1:
- C = arcsin(1/n): This gives us the critical angle for total internal reflection to occur.
Minimum Incident Angle for Total Internal Reflection
For total internal reflection to take place at the vertical surface, the angle of incidence must be greater than the critical angle:
- θ > C: Therefore, the minimum angle of incidence (u) required for total internal reflection is u = arcsin(1/n).
Conclusion
To ensure total internal reflection at the vertical surface of a slab in the air, the incident angle must be greater than arcsin(1/n). Understanding this concept is vital for applications in optics and photonics.
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A slab of the refractive index is placed in the air and a light is incident at maximum angle theta from vertical find minimum of u for which total internal reflection take place at the vertical surface?
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A slab of the refractive index is placed in the air and a light is incident at maximum angle theta from vertical find minimum of u for which total internal reflection take place at the vertical surface? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A slab of the refractive index is placed in the air and a light is incident at maximum angle theta from vertical find minimum of u for which total internal reflection take place at the vertical surface? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A slab of the refractive index is placed in the air and a light is incident at maximum angle theta from vertical find minimum of u for which total internal reflection take place at the vertical surface?.
A slab of the refractive index is placed in the air and a light is incident at maximum angle theta from vertical find minimum of u for which total internal reflection take place at the vertical surface? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A slab of the refractive index is placed in the air and a light is incident at maximum angle theta from vertical find minimum of u for which total internal reflection take place at the vertical surface? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A slab of the refractive index is placed in the air and a light is incident at maximum angle theta from vertical find minimum of u for which total internal reflection take place at the vertical surface?.
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