The angle of minimum deviation for a glass prism with `mu=sqrt3` equals the refracting angle of the prism. What is the angle of the prism?

Explanation

Given, A=`delta_(m)`
Using, `mu=sin((A+delta_(m))/2)/(sin(A/2))`
we have, `sqrt3=sin((A+A)/2)/(sin(A/2))`
or `sqrt3=(sinA)/(sin(A/2))=(2sin""A/2cos""A/2)/(sin(A/2))`
`therefore cos""A/2=(sqrt3)/2`
`therefore A/2=30^(@)or A=60^(@)`