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Define critical angle and calculate it for glass-air interface. Give two applications of total internal reflection.
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3 stepsPart b
The critical angle is the angle of incidence in the optically denser medium for which the angle of refraction in the optically rarer medium is .
Part c
Identify the given values.
The refractive index of glass, .
The refractive index of air, .
From the diagram, the ray is incident at point X on the glass-air interface. The refracted ray travels along the interface, meaning the angle of refraction in air is . The angle 'i' is the angle of incidence in the glass.Apply Snell's Law for the critical angle.
When light travels from a denser medium (glass) to a rarer medium (air) and the angle of refraction is , the angle of incidence is the critical angle.
Snell's Law:Substitute the values and solve for .
Since :
Angle is .
Part d
Two applications of total internal reflection are
- Optical fibers for transmitting data (e.g., internet, medical imaging).
- Periscopes and binoculars use prisms to reflect light without significant loss of intensity.
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