optics Questions

A light ray is incident perpendicular to one face of a $90^{\circ }$ prism and is totally internally reflected at the glass-air interface. If the angle of reflection is $45^{\circ }$, we conclude that the refractive index $n$ is:

A plano-convex lens of refractive index $1.5$ and radius of curvature $30\text{cm}$ is silvered at the curved surface. At what distance from this lens should an object be placed in order to have a real image of the same size as the object?

The angle of incidence at which reflected light is totally polarized for reflection from air to glass (refractive index $n$), is:

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young’s double-slit experiment is:

An electromagnetic wave of frequency $\nu =3.0\text{MHz}$ passes from vacuum into a dielectric medium with permittivity $ϵ=4.0{ϵ}_0$. Then: