Wave Optics

Light emerges out of a convex lens when a source of light kept at its focus. The shape of wavefront of the light is :

In a single slit experiment, a parallel beam of green light of wavelength \(550 \mathrm{~nm}\) passes through a slit of width \(0.20 \mathrm{~mm}\). The transmitted light is collected on a screen \(100 \mathrm{~cm}\) away. The distance of f...

Given below are two statements :
Statement I : When the white light passed through a prism, the red light bends lesser than yellow and violet.
Statement II : The refractive indices are different for different wavelengths in dispersive mediu...

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 fri...

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 waves of intensity ratio \(1: 9\) cross each other at a point. The resultant intensities at that point, when (a) Waves are incoherent is \(I_1\) (b) Waves are coherent is \(I_2\) and differ in phase by \(60^{\circ}\). If $$\frac{I_1}{I_...

When unpolarized light is incident at an angle of \(60^{\circ}\) on a transparent medium from air, the reflected ray is completely polarized. The angle of refraction in the medium is:

The diffraction pattern of a light of wavelength \(400 \mathrm{~nm}\) diffracting from a slit of width \(0.2 \mathrm{~mm}\) is focused on the focal plane of a convex lens of focal length \(100 \mathrm{~cm}\). The width of the $$1^{\text {st...

A beam of unpolarised light of intensity \(I_0\) is passed through a polaroid \(A\) and then through another polaroid \(B\) which is oriented so that its principal plane makes an angle of \(45^{\circ}\) relative to that of \(A\). The intens...

In a double slit experiment shown in figure, when light of wavelength \(400 \mathrm{~nm}\) is used, dark fringe is observed at \(P\). If \(\mathrm{D}=0.2 \mathrm{~m}\), the minimum distance between the slits \(S_1\) and \(S_2\) is _________...

In a single slit diffraction pattern, a light of wavelength 6000\(\mathop A\limits^o\) is used. The distance between the first and third minima in the diffraction pattern is found to be \(3 \mathrm{~mm}\) when the screen in placed $$50 \mat...

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 \(7 \lambda / 4\). The ratio of intensity of fringe at this p...

A parallel beam of monochromatic light of wavelength 5000 \(\mathop A\limits^o\) is incident normally on a single narrow slit of width \(0.001 \mathrm{~mm}\). The light is focused by convex lens on screen, placed on its focal plane. The fir...

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

A monochromatic light of wavelength $6000 ~\mathring{A}$ is incident on the single slit of width $0.01 \mathrm{~mm}$. If the diffraction pattern is formed at the focus of the convex lens of focal length $20 \mathrm{~cm}$, the linear width o...

In Young's double slit experiment, monochromatic light of wavelength 5000 Å is used. The slits are $1.0 \mathrm{~mm}$ apart and screen is placed at $1.0 \mathrm{~m}$ away from slits. The distance from the centre of the screen where intensit...

A microwave of wavelength $2.0 \mathrm{~cm}$ falls normally on a slit of width $4.0 \mathrm{~cm}$. The angular spread of the central maxima of the diffraction pattern obtained on a screen $1.5 \mathrm{~m}$ away from the slit, will be :

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 the fringe for the light of wavelength 600 \(\mathrm{nm}\) will be:

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 Young's double slit experiment. The distance between the slits is \(2.5 \mathrm{~mm}\) and...

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 polaroid \(\mathrm{C}\) is placed between \(\mathrm{A}\) and \(\mathrm{B}\) bisecting ang...

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 $7 \mathrm{~m}$ away from plane of slits. If the two slits are separated by $0.35 \mathrm...

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 \(\mathrm{D}\) (as shown in figure). Now if two transparent slabs of equal thickness $$0.1 \mathrm{~m...

In a Young's double slit experiment, the intensities at two points, for the path differences $\frac{\lambda}{4}$ and $\frac{\lambda}{3}$ ( $\lambda$ being the wavelength of light used) are $I_{1}$ and $I_{2}$ respectively. If $I_{0}$ denote...

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 inclined at angle of 60\(^\circ\) and 90\(^\circ\) with respect to axis of P\(_1\). The so...

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 perpendicular to \(A_{1} A_{2}\) as shown in the figure. If the first minimum is detected at $$P...

Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.8 (medium \(-1\)) and 6.8 (medium \(-2\)), respectively. To satisfy the condition, so that the reflected and refracted rays are per...

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 screen is 1 m and wavelength of used monochromatic light is 600 nm. The separation betwee...

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 Brewster's angle for the light propagating from glass to air is \(\frac{\pi}{2}-\theta_B\)...

'\(n\)' polarizing sheets are arranged such that each makes an angle \(45^{\circ}\) with the preceeding sheet. An unpolarized light of intensity I is incident into this arrangement. The output intensity is found to be \(I / 64\). The value ...

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 inserted infront of slit \(S_{1}\). The experiment is conducted in air \((\mu=1)\) and uses a m...

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 appears at $\theta=30^{\circ}$ on the screen will be :

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 interference pattern is:

Unpolarised light of intensity 32 Wm\(^{-2}\) passes through the combination of three polaroids such that the pass axis of the last polaroid is perpendicular to that of the pass axis of first polaroid. If intensity of emerging light is 3 Wm...

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 between two waves of same amplitude are \(\pi / 3\) and \(\pi / 2\), respectively are

Find the ratio of maximum intensity to the minimum intensity in the interference pattern if the widths of the two slits in Young's experiment are in the ratio of 9 : 16. (Assuming intensity of light is directly proportional to the width of ...

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 another monochromatic light of wavelength 6000 \(\mathop A\limits^o\) is used and the separa...

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 is moved by 5 \(\times\) 10\(-\)2 m towards the slits, the change in fringe width is 3 $$\...

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 B is \(\pi\). The difference of resultant intensities, at the point A and B, will be ____...

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 that its passing axis makes an angle of \(30^{\circ}\) relative to that of P. The intensit...

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 nm. The angular width of the fringe, when whole system is immersed in a medium of refracti...

In Young's double slit experiment performed using a monochromatic light of wavelength \(\lambda\), when a glass plate (\(\mu\) = 1.5) of thickness x\(\lambda\) is introduced in the path of the one of the interfering beams, the intensity at ...

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. Now another light is used to produce an interference pattern with consecutive bright fringe...

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 slits. The first dark fringe is observed on the screen directly opposite to one of the slit...

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 \(\pi / 2\) and \(\pi / 3\) at points \(\mathrm{A}\) and \(\mathrm{B}\) respectively. The diffe...

Two coherent sources of light interfere. The intensity ratio of two sources is \(1: 4\). For this interference pattern if the value of \(\frac{I_{\max }+I_{\min }}{I_{\max }-I_{\min }}\) is equal to \(\frac{2 \alpha+1}{\beta+3}\), then $$\f...

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 :

In Young's double slit experiment, the fringe width is \(12 \mathrm{~mm}\). If the entire arrangement is placed in water of refractive index \(\frac{4}{3}\), then the fringe width becomes (in mm):

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 at point P and \(\pi\) at point Q. Then the difference between the resultant intensities ...

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 angle. Choose the most suitable option for the phenomenon related to the prism.

The interference pattern is obtained with two coherent light sources of intensity ratio 4 : 1. And the ratio \({{{I_{\max }} + {I_{\min }}} \over {{I_{\max }} - {I_{\min }}}}\) is \({5 \over x}\). Then, the value of x will be equal to :