Optics Questions

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:

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

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:

An object $2.4\text{m}$ in front of a lens forms a sharp image on a film $12\text{cm}$ behind the lens. A glass plate $1\text{cm}$ thick, of refractive index $1.50$ is interposed between lens and film with its plane faces parallel to film. At what distance (from lens) should object be shifted to be in sharp focus on film?

A Young’s double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen is:

Let the $x-z$ plane be the boundary between two transparent media. Medium 1 in $z\ge 0$ has a refractive index of $\sqrt{2}$ and medium 2 with $z<0$ has a refractive index of $\sqrt{3}$. A ray of light in medium 1 given by the vector $\vec{A}=6\sqrt{3}\hat{i}+8\sqrt{3}\hat{j}-10\hat{k}$ is incident on the plane of separation. The angle of refraction in medium 2 is:

An initially parallel cylindrical beam travels in a medium of refractive index $\mu (I)={\mu }_0+{\mu }_{2}I$. The speed of light in the medium is:

An initially parallel cylindrical beam travels in a medium of refractive index $\mu (I)={\mu }_0+{\mu }_{2}I$. The initial shape of the wave front of the beam is:

An initially parallel cylindrical beam travels in a medium of refractive index $\mu (I)={\mu }_0+{\mu }_{2}I$, where ${\mu }_0$ and ${\mu }_2$ are positive constants and $I$ is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius. As the beam enters the medium, it will:

An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment, distances are measured by:

To get three images of a single object, one should have two plane mirrors at an angle of:

The image formed by an objective of a compound microscope is:

To demonstrate the phenomenon of interference we require two sources which emit radiation of:

If $I_0$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?

When an unpolarized light of intensity $I_0$ is incident on a polarizing sheet, the intensity of the light which does not get transmitted is:

A thin glass (refractive index $1.5$) lens has optical power of $-5\text{D}$ in air. Its optical power in a liquid medium with refractive index $1.6$ will be:

Two point white dots are $1\text{ mm}$ apart on a black paper. They are viewed by eye of pupil diameter $3\text{ mm}$. Approximately, what is the maximum distance at which these dots can be resolved by the eye? [Take wavelength of light $=500\text{ nm}$ ]

A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is $4/3$ and the fish is $12\text{ cm}$ below the surface, the radius of this circle in cm is: