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Q. In a thin prism of glass (refractive index 1.5$)$, which of the following relations between the angle of minimum deviations $\delta_{m}$ and angle of refraction $r$ will be correct?

Ray Optics and Optical Instruments

Solution:

$\delta_{m}=(\mu-1) A,$ At $\delta_{m^{\prime}} i=e$ and $r_{1}=r_{2}=r$
$\Rightarrow A=r_{1}+r_{2}=2 r$
$\delta_{m}=(1.5-1)(2 r)=r$