QJEEM22Phcbbd: JEE Main 2022 Physics - Class 12 JEEM22Phcbbd Solution: The X-Y plane be taken as the boundary between two transparent…

The X-Y plane be taken as the boundary between two transparent media $\mathrm{M}_{1}$ and $\mathrm{M}_{2}$ . $\mathrm{M}_{1}$ in $Z \geqslant 0$ has a refractive index of $\sqrt{2}$ and $M_{2}$ with Z<0 has a refractive index of $\sqrt{3}$ . A ray of light travelling in $\mathrm{M}_{1}$ along the direction given by the vector $\overrightarrow{\mathrm{P}}=4 \sqrt{3} \hat{i}-3 \sqrt{3} \hat{j}-5 \hat{k}$ , is incident on the plane of separation. The value of difference between the angle of incident in $\mathrm{M}_{1}$ and the angle of refraction in $\mathrm{M}_{2}$ will be __________ degree.