The condition for Minimum Deviation through Prism - Two Proofs Without Using Calculus

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Indian Academy of Sciences
Abstract
In this section of Resonance, we invite readers to pose questions likely to be raised in a classroom situation. We may suggest strategies for dealing with them, or invite responses, or both. “Classroom” is equally a forum for raising broader issues and sharing personal experiences and viewpoints on matters related to teaching and learning science.We know that the condition for minimum deviation of a ray passing through a prism is that the angle of incidence is equal to the angle of emergence. It is generally proved by using differential calculus. Here two proofs have been provided without using calculus, the ¯rst by application of trigonometry only and the second by pure reasoning.
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Prism, minimum deviation, angle of incidence, angle of emergence.
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