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Question

Find the deviation obtained by a monochromatic red light incident on an equilateral triangle prism at an angle of 60 degree. Given that refractive index of the glass prism is√3.

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Solution

we have equation of Refractive index

n=sin ((A+D)/2)/sinA/2
A : angle of the prism
D angle of deviation
​​​​​​
Root 2=sin (60+D)/2)/sin 60/2

root 2=sin(60+D)/2)/sin 30
on rearranging
sin(60+D)/2)=1/root 2

it is poosible if (60+D)/2=45

so D =30 °

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