Let ray of light given by the vector $\overrightarrow{A}= 6 \sqrt 3 \hat i+8 \sqrt 3 \hat j -10 \hat k$ be incident on the $X-Y$ plane . Which is the boundary between two transparent medium. Medium 1 in $Z > 0$ has refractive index of $\sqrt 2$ and medium 2 with $Z > 0$ has refractive index of $\sqrt 3$. What is the angle of refraction in medium 2.

Question

$(a)\;30^{\circ} \\ (b)\;60^{\circ} \\ (c)\;45^{\circ} \\ (d)\;15^{\circ}$