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  4. A ray of light passes through an equilateral glass prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles is equal to 3 / 4 of the angle of the prism. The angle of deviation is

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Q. A ray of light passes through an equilateral glass prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles is equal to $3 / 4$ of the angle of the prism. The angle of deviation is

Ray Optics and Optical Instruments

Solution:

Given $i=e=\frac{3}{4} A=\frac{3}{4} \times 60=45^{\circ}$
In the position of minimum deviation
$2 i=A+\delta_{m}$ or $\delta_{m}=2 i-A=90-60=30^{\circ}$