ask expert $($Figure $1)$ shows a transparent hemisphere with radius $\backslash ($ R $\backslash )$ and index of refraction $\backslash ($ n $\backslash ).$

Figure

$1$ of $1$

Part A

What is the maximum distance $\backslash ($ d $\backslash )$ for which a light ray parallel to the axis refracts out through the curved surface?

Express your answer in terms of the variables $\backslash ($ R $\backslash )$ and $\backslash ($ n $\backslash ).$