Wave optics practice · Mixed difficulty

When unpolarised light beam is incident from air onto glass $\left( {n = 1.5} \right)$ at the polarizing angle

In a Young's double slit experiment in front of one of the slits a thin transparent sheet of thickness $t$ and refractive index $\mu$ is inserted. The entire fringe pattern will be shifted by a distance ($d$ - separation between slits; $D$ - distance of screen from the slits and $\lambda$ - wavelength of light used)

Statement-1 : When light is incident from air to water then Brewster's angle is $\theta_{{B}}$ then if light is incident from water to air then Brewster's angle is $\frac{\pi}{2}-\theta_{{B}}$.
Statement-2 : When light goes from air to any medium of refractive index is then Brewster's angle $\left(\theta_{{B}}\right)$ is given by $\theta_{{B}}=\tan ^{-1}(\mu)$.

The limit of resolution of microscope, if the numerical aperture of microscope is 0.12, and the wavelength of light used is 600 nm, is

Statement I : For a given medium, the polarising angle is $60^{\circ}$. The critical angle for this medium is $35^{\circ}$.

Statement II : $\mu=\tan i_\rho$.

The wave front of a light beam is given by the equation x + 2y + 3z = constant. The angle made by the direction of light with the y-axis is

Ratio of intensities of two waves from slits $S_1$ and $S_2$ is $4: 1$ respectively. Then the ratio of maximum to that of minimum intensities in $YDSE$ is

The rectilinear propagation of light in a medium is due to

Two beams of light will not give rise to an interference pattern, if

Two points, separated by a distance of $\mathrm{0}\mathrm{.1}\,\,\mathrm{mm}$, can just be inspected on a microscope when light of wavelength $6000\,\mathop \mathrm{A}\limits^ \circ$ is used. If the light of wavelength $4800\,\mathop \mathrm{A}\limits^ \circ$ is used, the limit of resolution is

Two waves of amplitude $3 \mathrm{~mm}$ and $2 \mathrm{~mm}$ reach a point in the same phase. The resultant amplitude is

According to Huygens, medium through which light waves travel is

A wave can transmit ………. from one place to another

In Young’s double slit experiment, a minimum is obtained when the phase difference of superimposing waves is

Unpolarised light incident on transparent glass at incident angle $60^{\circ}$. If reflected ray is completely polarised, then angle of refraction is

In a diffraction pattern due to a single slit of width ‘a’, the first minimum is observed at an angle ${30^\mathrm{o}}$ when light of wavelength 5000 $\mathop \mathrm{A}\limits^\mathrm{o}$ is incident on the slit. The first secondary maximum is observed at an angle of:

A Young's double slit apparatus has slits separated by $0.28 \mathrm{~mm}$ and a screen $48 \mathrm{~cm}$ away from the slits. The whole apparatus is immersed in water and the slits are illuminated by the red light ( $\lambda=700 \mathrm{~nm}$ in vacuum). Find the fringe-width of the pattern formed on the screen.

If the sodium light in Young’s double slit experiment is replaced by red light, the fringe width will

To observe diffraction, the size of an aperture

Two incoherent waves of intensities $I_0$ and $4 I_0$ superimpose at a place. What is resultant intensity at that point?

Resolving power of reflecting type telescope increases with

The phenomenon of interference is shown by

In young’s single slit experiment with sodium vapour lamp of wavelength 589 nm and the slits 0.589 mm apart, the half angular width of the central maximum is

Statement-I: The sound waves do not exhibit the property of polarization.
Statement-II: The sound waves do not have the transverse nature.

Angular width (β) of central maximum of a diffraction pattern on a single slit does not depend upon

What is the effect on Fresnel’s biprism experiment when the use of white light is made

In order to see diffraction the thickness of the film is

A parallel monochromatic beam of light is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of the incident beam. At the first minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of the slit is

In a single slit diffraction experiment first minimum for red light $\left( {660\;nm} \right)$ coincides with first maximum of some other wavelength ${\lambda}$. The value of ${\lambda}$ is

If n represents the order of a half period zone, the area of this zone is approximately proportional to ${n^m}$ where m is equal to