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Question

(a) How does the angle of deviation produced by a prism change with an increase in the angle of incidence? Draw a curve showing the variation in the angle of deviation with the angle of incidence at a prism surface.

(b) Using the curve in part (a) above, how do you infer that for a given prism, the angle of minimum deviation δmin is unique for the given light.

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Solution

(a) As the angle of incidence increases, the angle of deviation decreases first and reaches to a minimum value (δm) for a certain angle of incidence. By further increasing the angle of incidence, the angle of deviation is found to increase.


Variation of angle of deviation (δ) with angle of incidence (i):
Image result for Draw a curve showing the variation in the angle of deviation with the angle of incidence at a prism surface.

(b) For a given prism and given colour of light, δmin is unique since only one horizontal line can be drawn parallel to i-axis at the lowest point of i-δ curve.


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