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Acids, Bases And Salts

Question
CBSEENSC10014839

What is the principle of reversibility of light? Show that the incident ray of light is parallel to the emergent ray of light when light falls obliquely on a side of a rectangular glass slab.

Solution

The principle of reversibility of light states that the light ray after reflection or refraction, when reversed, will retrace its path.
Using the Snell's law,
When light ray falls from a rarer to denser medium, then
n21fraction numerator sin space straight i over denominator sin space straight r end fraction
When retraced, the ray will move from denser to rarer medium.
That is,
straight n subscript 12 space equals space fraction numerator sin space straight r over denominator sin space straight i end fraction
Therefore,
straight n subscript 21 space straight x space straight n subscript 12 space equals space open parentheses fraction numerator sin space straight i over denominator sin space straight r end fraction close parentheses space straight x space open parentheses fraction numerator sin space straight r over denominator sin space straight i end fraction close parentheses equals 1