Wave optics practice · Mixed difficulty

Light passes successively through two polarimeter tubes each of length $0.29\;m$. The first tube contains dextro rotatory solution of concentration $60\;kg{m^{ - 3}}$ and specific rotation $0.01\;rad\;{m^2}\;k{g^{ - 1}}$. The second tube contains laevo rotatory solution of concentration $30\;kg/{m^3}$ and specific rotation $0.02\;rad\;{m^2}\;k{g^{ - 1}}$. The net rotation produced is

In the propagation of light waves, the angle between the direction of vibration and plane of polarization is

Two waves of same frequency and same amplitude from two monochromatic source are allowed to superpose at a certain point. If in once case the phase difference is $0^\circ$ and in other case is $\pi /2$, the ratio of the intensities in the two cases will be

For the constructive interference the path difference between the two interfering waves must be equal to

Two coherent sources of intensities, ${I_1}\;and\;{I_2}\;$ produce an interference pattern. The maximum intensity in the interference pattern will be

The phenomenon of polarization of light indicates that

In the diffraction pattern of a single slit

An unpolarised beam of light is incident on a group of four polarising sheets which are arranged in such a way that the characteristic direction of each polarising sheet makes an angle of $30^{\circ}$ with that of the preceding sheet.The percentage of incident light transmitted by the first polariser will be

Two light waves of same intensity on superposition gives a maximum of 400 units. If amplitude of both waves are reduced by $50 \%$ then the maximum intensity will be-

A ray of light travelling in water is incident on a glass plate immersed in it. When the angle of incidence is $51^{\circ}$, the reflected ray is totally polarized. Find out the refractive index of glass.

[The refractive index of water is 1.3 and $\tan 51^{\circ}=1.235$ ]

The ratio of intensities of successive maxima in the diffraction pattern due to the single slit is

In a Young’s experiment, two coherent sources are placed $0.90\;mm$ apart and the fringes are observed one meter away. If it produces the second dark fringe at a distance of $1\;mm$ from the central fringe, the wavelength of monochromatic light used will be

When a ray of light is incident normally on a surface, then

Wave which cannot travel in vacuum is

In Young's double slit experiment, 50 fringes are observed in the central view zone with light of wavelength $4000 \, \mathop {\text{A}}\limits^ \circ.$ The number of fringes that will be observed in the same view zone with the light of wavelength $5000 \, \mathop {\text{A}}\limits^ \circ$ is

If the shift in a star light is towards red end, then

The ratio of intensities of consecutive maxima in the diffraction pattern due to a single slit is

By Huygen’s wave theory of light, we cannot explain the phenomenon of

In a Young’s double slit experiment, the ratio of the slit’s width is 4 : 1. The ratio of the intensity of maxima to minima, close to the central fringe on the screen, will be

Two Nicols are oriented with their principal planes making an angle of $60^\circ$. The percentage of incident unpolarised light which passes through the system is

In a Young’s double slit experiment, the slit separation is $0.2\;cm$, the distance between the screen and slit is $1\;m$. Wavelength of the light used is $5000\mathop \mathrm{A}\limits^ \circ$. The distance between two consecutive dark fringes (in $mm$) is

Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm coming from a distant object, the limit of resolution of the telescope is close to

The condition for the first minimum in case of diffraction due to a single slit is

Assertion (A) : For two sources to be coherent phase difference between two waves at all points should be same.

Reason (R) : Two different light sources are never coherent.

In a double slit experiment $\lambda = 405\,nm,$ the slit separation is $20\,\mu m$ and slit width is $4\,\mu m\,.$ Number of bright fringes within central peak of diffraction envelop is:-

Huygen’s principle does not use

In a Young’s experiment, one of the slits is covered with a transparent sheet of thickness $3.6 \times {10^{ - 3}}\;cm$ due to which position of central fringe shifts to a position originally occupied by ${30^{th}}$ fringe. The refractive index of the sheet, if $\lambda = 6000\mathop \mathrm{A}\limits^ \circ$, is

Path difference between two wavefronts emitted from coherent sources is $2.1 \mu \mathrm{m}$. Phase difference between the wavefronts at that point is $7.692 \pi$. Wavelength of light emitted by source will be

In Fresnel’s biprism experiment, on increasing the prism angle, fringe width will

The wave theory of light, in its original form, was first postulated by