Wave Optics — JEE Main PYQs

Given below are two statements:
Statement I: In a Young's double slit experiment, the angular separation of fringes will increase as the screen is moved away from the plane of the slits
Statement II : In a Young's double slit experiment, the angular separation of fringes will inc …

In a Young's double slit experiment set up, the two slits are kept 0.4 mm apart and screen is placed at 1 m from slits. If a thin transparent sheet of thickness $20\mu \mathrm{m}$ is introduced in front of one of the slits then centre bring fringe shifts by 20 mm on the screen …

In two separate Young's double-slit experimental set-ups, two monochromatic light sources of different wavelengths are used to get fringes of equal width. The ratios of the slit separations and that of the wavelengths of light used are $2:1$ and $1:2$ respectively. The correspo …

When an unpolarized light falls at a particular angle on a glass plate (placed in air), it is observed that the reflected beam is linearly polarized. The angle of refracted beam with respect to the normal is $\_\_\_\_$.
(${\tan }^{-1}(1.52)=57.7^{\circ }$, refractive indices of air a …

Given below are two statements:

Statement-I: A plane wave after passing through prism remains as plane wave but passing through small pin hole may become spherical wave.
Statement-II: The curvature of a spherical wave emerging from a slit will increase for increasing slit width. …

In the Young's double slit experiment the intensity produced by each one of the individual slits is $I_0$. The distance between two slits is 2 mm. The distance of screen from slits is 10 m. The wavelength of light is $6000\mathring{A}$. The intensity of light on the screen in front of …

A beam of light consisting of wavelengths 650 nm and 550 nm illuminates the Young's double slits with separation of 2 mm such that the interference fringes are formed on a screen, placed at a distance of 1.2 m from the slits. The least distance of a point from the central maximum …

In a double slit experiment the distance between the slits is 0.1 cm and the screen is placed at 50 cm from the slits plane. When one slit is covered with a transparent sheet having thickness $t$ and refractive index $\mathrm{n}(=1.5)$, the central fringe shifts by 0.2 cm . T …

In a Young's double slit experiment, the intensity at some point on the screen is found to be $\frac{3}{4}$ times of the maximum of the interference pattern. The path difference between the interfering waves at this point is $\frac{\lambda }{x}$ where $\lambda$ is wavelength of th …

A slit of width a is illuminated by light of wavelength $\lambda$. The linear separation between $1^{\text{st}}$ and $3^{\text{rd}}$ minima in the diffraction pattern produced on a screen placed at a distance D from the slit system is ______.

A telescope with objective diameter R is used to observe a distant star emitting light of wavelength 500 nm, at a resolution of $5\times 10^{-7}$ radian. The value of R is _____ cm.

An unpolarized light is incident on the plane interface of air-dielectric medium shown in figure. If the incident angle is equal to Brewster angle, identify the expression representing reflected wave.

An unpolarized light of certain intensity passes through a combination of two polarizers whose transmission axes are at $30^{\circ }$ and $90^{\circ }$, respectively, with respect to the horizontal axis. A third polarizer with its transmission axis at $60^{\circ }$ with the horizont …

In a double slit experiment, when one of the slits is covered by a transparent mica sheet of refractive index 1.56, the central fringe shifts to the position of $7^{\text{th}}$ bright fringe, obtained with both slits uncovered. If the light source wavelength is 450 nm, the thic …

In Young's double slit experiment, the fringe width of the interference pattern produced on the screen is $2.4\mu$m. If the experiment is carried out in another medium having refractive index 1.2, the fringe width will be ______ $\mu$m.

The maximum intensity in a Young's double slit experiment is ${\mathrm{I}}_0$. Distance between the slits (d) is $5\lambda$, where $\lambda$ is the wavelength of light used. The intensity of the fringe, exactly opposite to one of the slits on the screen, placed at …

In interference experiment the path difference between two interfering waves at a point A on the screen is $\lambda /3$, where $\lambda$ is the wavelength of these waves, and at another point B the path difference is $\lambda /6$. The ratio of intensities at points A and …

An unpolarized light of intensity ${\mathrm{I}}_0$ passes through polarizer and then through a certain optically active solution and finally it goes to analyser. If the angle between analyser and polariser is $0^{\circ }$ and intensity of light emerged from analyser is …

In a Young double slit experiment, the wavelength of incident light is $6000\text{ A˚}$, the separation between slits ${\mathrm{S}}_1$ and ${\mathrm{S}}_2$ is 5 cm, the distance between slits plane and screen is 50 cm, as shown in the figure below. If the resultant intensity at P …

Some distance star is to be observed by some telescope of diameter of objective lens a , at an angular resolution of $3.0\times 10^{-7}$ radian. If the wavelength of light from the star reaching the telescope is 500 nm , the minimum diameter of the objective lens of the telescop …

In single slit diffraction pattern, the wavelength of light used is 628 nm and slit width is 0.2 mm, the angular width of central maximum is $\alpha \times 10^{-2}$ degrees. The value of $\alpha$ is ____.

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): If Young's double slit experiment is performed in an optically denser medium than air, then the consecutive fringes come closer.

Reason (R): The speed of lig …

Given below are two statements. On is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : In Young's double slit experiment, the fringes produced by red light are closer as compared to those produced by blue light.
Reason (R) : The fringe width is d …

A transparent film of refractive index, 2.0 is coated on a glass slab of refractive index, 1.45. What is the minimum thickness of transparent film to be coated for the maximum transmission of Green light of wavelength 550 nm . [Assume that the light is incident nearly perpendicul …

The width of one of the two slits in Young's double slit experiment is d while that of the other slit is xd . If the ratio of the maximum to the minimum intensity in the interference pattern on the screen is 9:4 then what is the value of x ?
(Assume that the field strength varies …

A thin transparent film with refractive index 1.4, is held on circular ring of radius 1.8 cm . The fluid in the film evaporates such that transmission through the film at wavelength 560 nm goes to a minimum every 12 seconds. Assuming that the film is flat on its two sides, the ra …

A double slit interference experiment performed with a light of wavelength 600 nm forms an interference fringe pattern on a screen with $10^{\text{th}}$ bright fringe having its centre at a distance of 10 mm from the central maximum. Distance of the centre of the same …

Young's double slit interference apparatus is immersed in a liquid of refractive index 1.44. It has slit separation of 1.5 mm . The slits are illuminated by a parallel beam of light whose wavelength in air is 690 nm . The fringe-width on a screen placed behind the plane of slits …

In a Young's double slit experiment, three polarizers are kept as shown in the figure. The transmission axes of ${\mathrm{P}}_1$ and ${\mathrm{P}}_2$ are orthogonal to each other. The polarizer ${\mathrm{P}}_3$ covers both the slits with its transmission axis at $45^{\circ }$ to t …

The Young's double slit interference experiment is performed using light consisting of 480 nm and 600 nm wavelengths to form interference patterns. The least number of the bright fringes of 480 nm light that are required for the first coincidence with the bright fringes formed by …

Two coherent monochromatic light beams of intensities 4I and 9I are superimposed. The difference between the maximum and minimum intensities in the resulting interference pattern is xI . The value of $x$ is ______ .

Width of one of the two slits in a Young's double slit interference experiment is half of the other slit. The ratio of the maximum to the minimum intensity in the interference pattern is :

Two monochromatic light beams have intensities in the ratio $1:9$. An interference pattern is obtained by these beams. The ratio of the intensities of maximum to minimum is

In a Young's double slit experiment, the slits are separated by 0.2 mm. If the slits separation is increased to 0.4 mm, the percentage change of the fringe width is:

Two plane polarized light waves combine at a certain point whose electric field components are $E_1=E_0\sin \omega t$ and $E_2=E_0\sin \left(\omega t+\frac{\pi }{3}\right)$. Find the amplitude of the resultant wave.

In a Young's double slit experiment, the source is white light. One of the slits is covered by red filter and another by a green filter. In this case

If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central maximum is $30^{\circ }$ in a single slit diffraction pattern recorded using 628 nm light, then the width of the slit is _______ …

Two coherent monochromatic light beams of intensities I and 4I are superimposed. The difference between maximum and minimum possible intensities in the resulting beam is xI. The value of $x$ is ______.

The width of one of the two slits in a Young's double slit experiment is 4 times that of the other slit. The ratio of the maximum of the minimum intensity in the interference pattern is :

Two wavelengths ${\lambda }_1$ and ${\lambda }_2$ are used in Young's double slit experiment ${\lambda }_1=450\mathrm{nm}$ and ${\lambda }_2=650\mathrm{nm}$. The minimum order of fringe produced by ${\lambda }_2$ which overlaps with the fringe produced by ${\lambda }_1$ …

In a single slit experiment, a parallel beam of green light of wavelength 550 nm passes through a slit of width 0.20 mm. The transmitted light is collected on a screen 100 cm away. The distance of first order minima from the central maximum will be $x\times 10^{-5}$ m. The value …

In Young's double slit experiment, carried out with light of wavelength $5000\mathring{A}$, the distance between the slits is 0.3 mm and the screen is at 200 cm from the slits. The central maximum is at $\mathrm{x}=0\mathrm{cm}$. The value of x for third maxima is ______ mm.

A parallel beam of monochromatic light of wavelength 600 nm passes through single slit of 0.4 mm width. Angular divergence corresponding to second order minima would be ____ $\times 10^{-3}\mathrm{rad}$.

Two slits are 1 mm apart and the screen is located 1 m away from the slits. A light wavelength 500 nm is used. The width of each slit to obtain 10 maxima of the double slit pattern within the central maximum of the single slit pattern is _____ $\times 10^{-4}$ m.

In a Young's double slit experiment, the intensity at a point is ${\left(\frac{1}{4}\right)}^{\text{th }}$ of the maximum intensity, the minimum distance of the point from the central maximum is ____ $\mu \mathrm{m}$.
(Given : …

Monochromatic light of wavelength 500 nm is used in Young's double slit experiment. An interference pattern is obtained on a screen When one of the slits is covered with a very thin glass plate (refractive index $=1.5$ ), the central maximum is shifted to a position previously …

When a polaroid sheet is rotated between two crossed polaroids then the transmitted light intensity will be maximum for a rotation of :

A parallel beam of monochromatic light of wavelength $5000\mathring{A}$ is incident normally on a single narrow slit of width 0.001 mm. The light is focused by convex lens on screen, placed on its focal plane. The first minima will be formed for the angle of diffraction of ____ (degree).

In Young's double slit experiment, light from two identical sources are superimposing on a screen. The path difference between the two lights reaching at a point on the screen is $\frac{7\lambda }{4}$. The ratio of intensity of fringe at this point with respect to the maximum i …

In a single slit diffraction pattern, a light of wavelength $6000\mathring{A}$ is used. The distance between the first and third minima in the diffraction pattern is found to be 3 mm when the screen in placed 50 cm away from slits. The width of the slit is ______ …