JEE Main
Physics
Wave Optics
Previous Years Questions

A single slit of width $a$ is illuminated by a monochromatic light of wavelength $600 \mathrm{~nm}$. The value of ' $a$ ' for which first minimum app...
In a Young's double slits experiment, the ratio of amplitude of light coming from slits is $$2: 1$$. The ratio of the maximum to minimum intensity in ...
The ratio of intensities at two points $$\mathrm{P}$$ and $$\mathrm{Q}$$ on the screen in a Young's double slit experiment where phase difference betw...
The width of fringe is $$2 \mathrm{~mm}$$ on the screen in a double slits experiment for the light of wavelength of $$400 \mathrm{~nm}$$. The width of...
'$$n$$' polarizing sheets are arranged such that each makes an angle $$45^{\circ}$$ with the preceeding sheet. An unpolarized light of intensity I is ...
Two polaroide $$\mathrm{A}$$ and $$\mathrm{B}$$ are placed in such a way that the pass-axis of polaroids are perpendicular to each other. Now, another...
In a Young's double slit experiment, two slits are illuminated with a light of wavelength $$800 \mathrm{~nm}$$. The line joining $$A_{1} P$$ is perpen...
In Young's double slits experiment, the position of 5$$\mathrm{^{th}}$$ bright fringe from the central maximum is 5 cm. The distance between slits and...
Given below are two statements : Statement I : If the Brewster's angle for the light propagating from air to glass is $$\mathrm{\theta_B}$$, then the ...
An unpolarised light beam of intensity $$2 I_{0}$$ is passed through a polaroid P and then through another polaroid Q which is oriented in such a way ...
Two coherent sources of light interfere. The intensity ratio of two sources is $$1: 4$$. For this interference pattern if the value of $$\frac{I_{\max... In Young's double slit experiment, the fringe width is$$12 \mathrm{~mm}$$. If the entire arrangement is placed in water of refractive index$$\frac{4...
Using Young's double slit experiment, a monochromatic light of wavelength 5000 $$\mathop A\limits^o$$ produces fringes of fringe width 0.5 mm. If ano...
In Young's double slit experiment performed using a monochromatic light of wavelength $$\lambda$$, when a glass plate ($$\mu$$ = 1.5) of thickness x$$... For a specific wavelength 670 nm of light coming from a galaxy moving with velocity v, the observed wavelength is 670.7 nm. The value of v is : The interference pattern is obtained with two coherent light sources of intensity ratio 4 : 1. And the ratio$${{{I_{\max }} + {I_{\min }}} \over {{I_...
A light whose electric field vectors are completely removed by using a good polaroid, allowed to incident on the surface of the prism at Brewster's an...
The two light beams having intensities I and 9I interfere to produce a fringe pattern on a screen. The phase difference between the beams is $$\pi$$/2...
The light waves from two coherent sources have same intensity I1 = I2 = I0. In interference pattern the intensity of light at minima is zero. What wil...
In Young's double slit experiment, if the source of light changes from orange to blue then :
In the Young's double slit experiment, the distance between the slits varies in time as d(t) = d0 + a0 sin$$\omega$$t; where d0, $$\omega$$ and a0 are...
With what speed should a galaxy move outward with respect to earth so that the sodium-D line at wavelength 5890 $$\mathop A\limits^o$$ is observed at...
In Young's double slit arrangement, slits are separated by a gap of 0.5 mm, and the screen is placed at a distance of 0.5 m from them. The distance be...
In a Young's double slit experiment two slits are separated by 2 mm and the screen is placed one meter away. When a light of wavelength 500 nm is used...
Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter 0.1 $$\mu$$m. If the diameter of the pinhole is slightly...
Two coherent light sources having intensity in the ratio 2x produce an interference pattern. The ratio $${{{I_{\max }} - {I_{\min }}} \over {{I_{\max ... If the source of light used in a Young's double slit experiment is changed from red to violet : In a Young's double slit experiment, the width of the one of the slit is three times the other slit. The amplitude of the light coming from a slit is ... In the figure below, P and Q are two equally intense coherent sources emitting radiation of wavelength 20 m. The separation between P and Q is 5 m and... Two coherent sources of sound, S1 and S2, produce sound waves of the same wavelength,$$\lambda $$= 1 m, in phase. S1 and S2 are placed 1.5 m apart (... A beam of plane polarised light of large cross-sectional area and uniform intensity of 3.3 Wm-2 falls normally on a polariser (cross sectional area 3 ... Two light waves having the same wavelength$$\lambda $$in vacuum are in phase initially. Then the first wave travels a path L1 through a medium of r... In a Young’s double slit experiment, light of 500 nm is used to produce an interference pattern. When the distance between the slits is 0.05 mm, the a... In a Young’s double slit experiment, 16 fringes are observed in a certain segment of the screen when light of a wavelength 700 nm is used. If the wave... Interference fringes are observed on a screen by illuminating two thin slits 1 mm apart with a light source ($$\lambda $$= 632.8 nm). The distance be... The aperture diameter of a telescope is 5m. The separation between the moon and the earth is 4 × 105 km. With light of wavelength of 5500$$\mathop A\...
In a double slit experiment, at a certain point on the screen the path difference between the two interfering waves is $${1 \over 8}$$th of a waveleng...
In a Young's double slit experiment, the separation between the slits is 0.15 mm. in the experiment, a source of light of wavelengh 589 nm is used and...
A polarizer - analyser set is adjusted such that the intensity of light coming out of the analyser is just 10% of the original intensity. Assuming tha...
Visible light of wavelength 6000 $$\times$$ 10-8 cm falls normally on a single slit and produces a diffraction pattern. It is found that the second ...
A system of three polarizers P1, P2, P3 is set up such that the pass axis of P3 is crossed with respect to that of P1. The pass axis of P2 is inclined...
The value of numerical aperature of the objective lens of a microscope is 1.25. If light of wavelength 5000 $$\mathop A\limits^o$$ is used, the minim...
In a double slit experiment, when a thin film of thickness t having refractive index $$\mu$$. is introduced in front of one of the slits, the maximum...
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 frin...
Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600nm. coming from a distant object, the limit of resolution of the t...
The figure shows a Young's double slit experimental setup. It is observed that when a thin transparent sheet of thickness t and refractive index μ is ...
Calculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength 500 nm coming from a s...
In an interference experiment the ratio of amplitudes of coherent waves is $${{{a_1}} \over {{a_2}}} = {1 \over 3}$$ . The ratio of maximum and minimu...
In a double-slit experiment, green light (5303$$\mathop A\limits^ \circ$$) falls on a double slit having a separation of 19.44 $$\mu$$m and awidht ...
In a Young's double slit experiment, the path difference, at a certain point on the screen, between two interfering waves is $${1 \over 8}$$ th of wav...
Consider a Young’s double slit experiment as shown in figure. What should be the slit separation d in terms of wavelength $$\lambda$$ such that the f...
In a Young’s double slit experiment with slit separation 0.1 mm, one observes a bright fringe at angle $${1 \over {40}}$$ by using light of waveleng...
In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength $$\lambda$$ = 500 nm is incident on the slits. The tota...
Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum int...
Consider a tank made of glass(refractive index 1.5) with a thick bottom. It is filled with a liquid of refractive index $$\mu$$. A student finds that...
Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B. The intensity of emergent light is I/2. If a third polar...
The angular width of the central maximum in a single slit diffraction pattern is 60°. The width of the slit is 1 $$\mu$$m. The slit is illuminated by...
Unpolarized light of intensity I passes through an ideal polarizer A. Another identical polarizer B is placed behind A. The intensity of light beyond ...
A plane polarized light is incident on a polariser with its pass axis aking angle $$\theta$$ with x-axis, as shown in the figure. At four different ...
Light of wavelength $$550$$ $$nm$$ falls normally on a slit of width $$22.0 \times {10^{ - 5}}$$ $$cm.$$ The angular position of the second minima fro...
A single slit of width 0.1 mm is illuminated by a parallel beam of light of wavelength 6000 $$\mathop A\limits^ \circ$$ and diffraction bands are ob...
A single slit of width b is illuminated by a coherent monochromatic light of wavelength $$\lambda$$. If the second and fourthminima in the diffracti...
In a Young’s double slit experiment, slits are separated by 0.5 mm, and the screen is placed 150 cm away. A beam of light consisting of two wavelength...
Two stars are 10 light years away from the earth. They are seen through a telescope of objective diameter 30 cm. The wavelength of light is 600 nm. To...
In Young’s double slit experiment, the distance between slits and the screen is 1.0 m and monochromatic light of 600 nm is being used. A person standi...
The box of a pin hole camera, of length $$L,$$ has a hole of radius a. It is assumed that when the hole is illuminated by a parallel beam of light of ...
On a hot summer night, the refractive index of air is smallest near the ground and increases with height from the ground. When a light beam is direc...
Assuming human pupil to have a radius of $$0.25$$ $$cm$$ and a comfortable viewing distance of $$25$$ $$cm$$, the minimum separation between two objec...
Two beams, $$A$$ and $$B$$, of plane polarized light with mutually perpendicular planes of polarization are seen through a polaroid. From the positio...
A beam of unpolarised light of intensity $${{\rm I}_0}$$ is passed through a polaroid $$A$$ and then through another polaroid $$B$$ which is oriented ...
Two coherent point sources $${S_1}$$ and $${S_2}$$ are separated by a small distance $$'d'$$ as shown. The fringes obtained on the screen will be ...
In Young's double slit experiment , one of the slit is wider than other, so that amplitude of the light from one slit is double of that from other sli...
This question has a paragraph followed by two statements, Statement $$-1$$ and Statement $$-2$$. Of the given four alternatives after the statements,...
An initially parallel cylindrical beam travels in a medium of refractive index $$\mu \left( I \right) = {\mu _0} + {\mu _2}\,I,$$ where $${\mu _0}$$ a...
A mixture of light, consisting of wavelength $$590$$ $$nm$$ and an unknown wavelength, illuminates Young's double slit and gives rise to two overlappi...
In a Young's double slit experiment the intensity at a point where the path difference is $${\lambda \over 6}$$ ( $$\lambda$$ being the wavelength o...
Two point white dots are $$1$$ $$mm$$ apart on a black paper. They are viewed by eye of pupil diameter $$3$$ $$mm.$$ Approximately, what is the maximu...
A Young's double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen is
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 ...
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
The angle of incidence at which reflected light is totally polarized for reflection from air to glass (refractive index $$n$$) is :
The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment, is :
To demonstrate the phenomenon of interference, we require two sources which emit radiation

## Numerical

Unpolarised light of intensity 32 Wm$$^{-2}$$ passes through the combination of three polaroids such that the pass axis of the last polaroid is perpen...
A beam of light consisting of two wavelengths $$7000~\mathop A\limits^o$$ and $$5500~\mathop A\limits^o$$ is used to obtain interference pattern in ...
As shown in the figure, in Young's double slit experiment, a thin plate of thickness $$t=10 \mu \mathrm{m}$$ and refractive index $$\mu=1.2$$ is inser...
Two light waves of wavelengths 800 and $600 \mathrm{~nm}$ are used in Young's double slit experiment to obtain interference fringes on a screen placed...
In a Young's double slit experiment, the intensities at two points, for the path differences $\frac{\lambda}{4}$ and $\frac{\lambda}{3}$ ( $\lambda$ b...
In Young's double slit experiment, two slits $$S_{1}$$ and $$S_{2}$$ are '$$d$$' distance apart and the separation from slits to screen is $$\mathrm{D... Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.8 (medium$$-1$$) and 6.8 (medium$$-2$$)... As shown in the figure, three identical polaroids P$$_1$$, P$$_2$$and P$$_3$$are placed one after another. The pass axis of P$$_2$$and P$$_3$$are ... Two light beams of intensities 4I and 9I interfere on a screen. The phase difference between these beams on the screen at point A is zero and at point... In a Young's double slit experiment, a laser light of 560 nm produces an interference pattern with consecutive bright fringes' separation of 7.2 mm. N... Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the two beams are$$\pi...
In a double slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the plane of slits. If the screen ...
In a Young's double slit experiment, an angular width of the fringe is 0.35$$^\circ$$ on a screen placed at 2 m away for particular wavelength of 450 ...
In Young's double slit experiment the two slits are 0.6 mm distance apart. Interference pattern is observed on a screen at a distance 80 cm from the s...
Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single slit of aperture 0.5 mm. The distance between the slit and the ...
The width of one of the two slits in a Young's double slit experiment is three times the other slit. If the amplitude of the light coming from a slit ...
In a Young's double slit experiment, the slits are separated by 0.3 mm and the screen is 1.5 m away from the plane of slits. Distance between fourth b...
A source of light is placed in front of a screen. Intensity of light on the screen is I. Two Polaroids P1 and P2 are so placed in between the source o...
White light is passed through a double slit and interference is observed on a screen 1.5 m away. The separation between the slits is 0.3 mm. The first...
The difference in the number of waves when yellow light propagates through air and vacuum columns of the same thickness is one. The thickness of the a...
A galaxy is moving away from the earth at a speed of 286 kms$$-$$1. The shift in the wavelength of a redline at 630 nm is x $$\times$$ 10$$-$$10 m. Th...
A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelength of light used is 'x' nm. The...
An unpolarised light beam is incident on the polarizer of a polarization experiment and the intensity of light beam emerging from the analyzer is meas...
A Young's double-slit experiment is performed using monochromatic light of wavelength $$\lambda$$. The intensity of light at a point on the screen, w...
Orange light of wavelength 6000 $$\times$$ 10–10 m illuminates a single slit of width 0.6 $$\times$$ 10–4 m. The maximum possible number of diffra...
In a Young's double slit experiment 15 fringes are observed on a small portion of the screen when light of wavelength 500 nm is used. Ten fringes are ...
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