Wave optics practice · Mixed difficulty

In Young's double slit experiment, the width of fringe obtained from a source of light of wavelength $5000\mathop {\text{A}}\limits^ \circ$ is 3.9 $\mathrm{mm}$. if the apparatus is immersed in a liquid of $\mu=1.3$, the fringe width will be

Ratio of intensities in consecutive maxima in a diffraction pattern due to a single slit is

In a Lloyd's mirror experiment if the mirror reflects $75 \%$ of light incident on it the ratio of intensity at interference maxima and minima will be:

In YDSE, if one slit is covered by a transparent film so that it transmitts only one half the light intensity of other then choose the incorrect statement :

In young’s double slit experiment, the fringe pattern is observed on screen placed at a distance D. The slits are illuminated by light of wavelength $\lambda$. The distance from the central point where intensity becomes $\frac{3}{4}th$ of the maxima will be

Assertion : Light ray passing through water droplet is partially polarized.
Reason : Water is a polar molecule.

Which one of the following property of light does not support wave theory of light?

If the monochromatic source in Young's double slit experiment is replaced by white light, then

In Young’s double slit experiment, when violet light of wavelength $4358\mathop \mathrm{A}\limits^ \circ$ is used, the 84 fringe are seen in the field of view, but when sodium light of certain wavelength is used, then 62 fringes are seen in the field of view, the wavelength of sodium light is

Two coherent sources emit light waves, which superimpose at a point where these can be expressed as

$\begin{aligned} & \mathrm{E}_1=\mathrm{E}_0 \sin (\omega \mathrm{t}+\pi / 4) \\ & \mathrm{E}_2=2 \mathrm{E}_0 \sin (\omega \mathrm{t}-\pi / 4) \end{aligned}$

here $\mathrm{E}_1$ and $\mathrm{E}_2$ are the electric field strengths of the two waves at the given point. If $\mathrm{I}$ is the intensity of wave expressed by field strength $\mathrm{E}_1$, find the resultant intensity.

Statement-1: In interference experiment, the fringe system will shift, if a glass plate is interposed in the path of the one of the interfering beams and the shift will be on the side of the glass plate.
Statement-2: The velocity of light in glass is smaller than in air.

The wave theory of light was given by

Two light rays having the same wavelength $\lambda$ in vacuum are in phase initially. Then the first ray travels a path ${{L_1}}$ through a medium of refractive index ${{n_1}}$ while the second ray travels a path of length ${{L_2}}$ through a medium of refractive index ${{n_2}}$. The two waves are then combined to produce interference. The two waves are then combined to produce interference. The phase difference between the two waves is

Two monochromatic coherent point sources $S_1$ and $S_2$ are separated by a distance $L$. Each source emits light of wavelength $\lambda$, where $L >> \lambda$. The line $S_1 S_2$ when extended meets a screen perpendicular to it at a point $A.$

The resolving power of a telescope depends on

The condition for diffraction of ${m^{th}}$ order minima is

A parallel beam of monochromatic unpolarised
light is incident on a transparent plate of
refractive index $\sqrt{3}.$ The reflected beam is
completely polarized. The angle of incidence
is

A parallel beam of light of intensity ${I_0}$ is incident on a glass plate, $25\%$ of light is reflected by upper surface and $50\%$ of light is reflected from lower surface. The ratio of maximum to minimum intensity in interference region of reflected rays is

To increase the resolving power of a telescope

Find the thickness of a plate which will produce a change in optical path equal to half the wavelength $\lambda$ of the light passing through it normally. The refractive index of the plate $\mu$ is

Two light waves of the same intensity are interfering. The intensity of light at a bright fringe compared to the intensity of one of the waves will

A beam of ordinary unpolarised light passes through a tourmaline crystal ${C_1}$ and then it passes through another tourmaline crystal ${C_2}$, which is oriented such that its principal plane is parallel to that of ${C_2}$. The intensity if emergent light is ${I_0}$. Now ${C_2}$ is rotated by $60^\circ$ about the ray. The emergent ray will have an intensity

In Young’s double slit experiment, the distance between the two slits is made half, then the fringe width will become

The wavelength of light observed on the earth from a moving star is found to decrease by $0.05\,\,\%$. the star is

Statement A: In the interference pattern the intensity is same at all points in a bright band

Statement B: In Young's double slit experiment, as we move away from the central maximum, the third maximum always comes before the third minimum.

The phenomenon of polarization of light indicates that

The $k$ line of singly ionized calcium has a wavelength of $393.3\,nm$ as measured on earth. In the spectrum of one of the observed galaxies, this spectral line is located at $401.8\,nm$. The speed with which the galaxy is moving away from us, will be

Statement A: In Fraunhofer diffraction central observation point is always bright where as in Fresnel diffraction observation point may bright or dark.

Statement B: In Fresnel light waves approaches at observation point are always in same phase, whereas in Fraunhofer light waves approaches at central observation point may be in same phase or in opposite phase.

Interference may be seen using two independent

In young's double slit experiment with a source of light of wavelength $6320\,\mathop {\text{A}}\limits^ \circ$, the first maxima will occur when