Recent questions tagged wave-optics

State Brewster's law

asked Mar 21, 2019 by meena.clay6

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In a Young's Double Slit experiment, the width of one of the two slits is double the other. If the amplitude of light coming from a slit is proportional to the width, find the ratio of the maximum to minimum intensity in the interference pattern.

asked Apr 19, 2014 by balaji.thirumalai

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Two monochromatic coherent sources of wavelength 5000 A are placed along line normal to screen as shown. Find the order of central bright fringe if $d = 0.5mm$ and $D = 1m$

asked Apr 19, 2014 by balaji.thirumalai

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In YDSE intensity at a point is $\bigg (\large\frac{1}{4} \bigg) $ of maximum intensity. Angular position of this point is :

asked Feb 20, 2014 by meena.p

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In YDSE if the source consists of two wave lengths $\lambda_1=4000 \;a^{\circ}$ and $\lambda _2 =4002\;A^{\circ}$ . Find the distance from centre where fringes disappear if $d= 1\;cm; D=1\;m$

asked Feb 20, 2014 by meena.p

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Two monochromatic coherent sources of wavelength 5000 A are placed along line normal to screen as shown. Then the condition for maxima at the point P is :

asked Feb 20, 2014 by meena.p

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In the ideal YDSE when a glass plate (RI= 1.5) of thickness t is introduced in path of one of interfering beams , the intensity at the position where central maximum occurred previously remains unchanged. The minimum thickness of glass plate is :

asked Feb 19, 2014 by meena.p

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In the YDSE apparatus shown the ratio of maximum to minimum intensity on screen is 9. The wavelength of light used is $\lambda$, the value of y is :

asked Feb 19, 2014 by meena.p

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In YDSE $\large\frac{d}{D}$$=10^4$ (d= distance between slits ; D= distance of screen from slits). at a point P on screen resulting intensity is equal to intensity due to individual slit $I_0$ Then the distance of point P from central maximum is $(\lambda= 6000 A^{\circ})$

asked Feb 19, 2014 by meena.p

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Two beam of light having intensities $I$ and $4I$ interfere to produce a fringe pattern on a screen . The phase difference between beams is $ \large\frac{\pi}{2}$ at point A and n at point B. Then the difference between resultant intensities at A and B is

asked Feb 19, 2014 by meena.p

1 answer

In a YDSE , 12 fringes are observed to be formed in a certain segment of screen when light of wavelength $600\; nm$ is used. If the wavelength of length is changed to $400\; nm$ , number of fringes observed in same segment of screen in given by

asked Feb 19, 2014 by meena.p

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When a beam of light with wave length $\lambda= 6000 A, $ travelling in air, enters a glass medium whose refractive index is 1.5 then,

asked Feb 19, 2014 by meena.p

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In the ideal YDSE , when a glass plate $(refractive index\;1.5)$ of thickness t is introduced in path of one of interfering beams (wave - length $\lambda$) the intensity at position where central maximum occurred preciously remains unchanged . The minimum thickness of glass plate is :

asked Feb 18, 2014 by meena.p

1 answer

In a YDSE $\lambda =60 \;nm\; D= 2m\;\lambda=6 mm$. Find the positions of a point lying b/w third maxima and third minima where the intensity in three - fourth of maximum intensity on the screen .

asked Feb 14, 2014 by meena.p

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When the screen is moved away from plane of slits in YDSE then the effect on interference fringes is

asked Feb 14, 2014 by meena.p

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In an interference arrangement similar to YDSE , Slits $S_1\;and \;S_2$ are illuminated with coherent microwave sources and are synchronized to have zero phase difference The slits are separates by distance $d= 150 \;m$. The intensity $I_0$ is measured as a function of $\theta$ where $\theta$ is defined as shown. If $I _0$ is max intensity, calculate $I_0$ for $\theta=90^{\circ}$

asked Feb 14, 2014 by meena.p

1 answer

In a modified YDSE a monochromatic uniform and parallel beam of light of wavelength 6000 A and intensity $\bigg(\large\frac{10}{\pi}\bigg) \large\frac{w}{m^2}$ is incident normally on two circular operates A and B of radii $0.001\;m $ and $0.002\;m$ respectively. A perfectly transparent film of thickness $2000 A^{\circ}$ and refractive index $1.5 $ for wavelength $6000\;A^{\circ}$ is placed in front of aperture A. Calculate the pour (in waters) received at Focal spot F of lens. The lens is symmetrically placed with respect to aperture. Assume $10 \%$ of power received by each aperture goes in original direction and is bought to focal speet.

asked Feb 13, 2014 by meena.p

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A beam of light consisting of two wavelength $6500 A^{\circ}$ and $5200 A^{\circ}$ is used to obtain interference fringes in a young's double slit exp. Then what is the distance from central maxima where the bright fringes due to both wavelength coincides? The distance between slits is 2 mm and distance between plane of slits and screen is 120 cm

asked Feb 13, 2014 by meena.p

1 answer

In a YDSE with $D= 1m,d=1mm$ light of wave length $500 \;nm$ is incident at an angle of $0.57^{\circ}$ with respect to axis of symmetry of experimental set up. If centre of symmetry of screen is 0. Then the intensity at point 0 in terms of intensity of central maxima $I_0$ is

asked Feb 13, 2014 by meena.p

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In a YDSE with $d= 1mm$ and $D= 1m$ slabs of $(t= 1 \mu m , \mu =3)$ and $(t=0.5\;\mu m , \mu =2) $ are introduced in front of upper and lower slit respectively . Then the shift in fringe pattern is :-

asked Feb 13, 2014 by meena.p

1 answer

White light is used in a YDSE with $D= 1m$ and $d= 0.9 mm$ .Light reaching the screen at position $y= 1 mm$ is passed through a prism and its spectrum is obtained. The missing lines in the visible region of this spectrum is :-

asked Feb 13, 2014 by meena.p

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Monochromatic light of wavelength $5000\;A^{\circ} $ is used in Y.D.S.E with slit- width $d= 1 mm$distance between screen and slits $D=1\;m$ Find the distance of 1000 th maxima

asked Feb 13, 2014 by meena.p

1 answer

Monochromatic light of wavelength $5000\;A^{\circ} $ is used in Y.D.S.E with slit- width $d= 1 mm$distance between screen and slits $D=1\;m$ .Then the distance of 5th minima from central maxima on screen is :-

asked Feb 13, 2014 by meena.p

1 answer

Find the maxima and minima obtained on screen in a $YDSE, D= 1m,d=1mm$ and $ \lambda=\large\frac{1}{2}\;mm$

asked Feb 13, 2014 by meena.p

1 answer

In a YDSE, $D = 1m \; d= 1mm$ and $\lambda =\large\frac{1}{2}$$mm$ Then the distance between the first and central maxima on screen

asked Feb 13, 2014 by meena.p

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Light from two sources , each of same frequency and travelling in same direction. but with intensity in ratio 4:1 interface. Find ratio of maximum to minimum intensity.

asked Feb 13, 2014 by meena.p

1 answer

$S_1$ and $S_2$ are two sources of light which produce individually disturbance at a point P given by $\in _1=3 \sin wt,\;\in _2 =4 \cos wt$ Assuming $\overrightarrow {\in_1}$ and $\overrightarrow{\in_2}$ to be along the same line then result of their superposition is

asked Feb 13, 2014 by meena.p

1 answer

A plate of thickness x made of refractive index $\mu $ is placed in front of one of the slits in a double slit experiment. What should be minimum thickness x . so that the central maxima turns to fringe with minimum intensity

asked Jan 24, 2014 by meena.p

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Two waves have a phase difference of $\pi $. and they have light intensities I and 9I. What will be the resultant intensity .

asked Jan 24, 2014 by meena.p

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Find the width of central maxima given $\lambda = 5 \times 10^{-5}\;cm$ slit separation $d= 0.15 \;cm$ and distance between screen and slit $D= 2.1 \;m$

asked Jan 24, 2014 by meena.p

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An unpolarised light is incident on a glass plate at polarizing angle $57^{\circ}$ with the normal on a glass plane. The reflected light will be

asked Jan 24, 2014 by meena.p

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In Young's double slit experiment the distance between adjacent fringe is x and L is distance between slit and screen. If d is split separation , then wave length is

asked Jan 24, 2014 by meena.p

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An interference pattern is observed in a young 's double slit experiment in air. Now this chamber is evacuated and the same light is used we will see .

asked Jan 24, 2014 by meena.p

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Wave nature of light explains the phenomenon of

asked Jan 24, 2014 by meena.p

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In Lloyd's single mirror experiment A light wave emitted directly from sources s interferes with a wave reflected from a mirror M. The interference pattern is formed on the screen which is kept perpendicular to the mirror and at a distance. $D=1 m$ from the source as shown . If the sources is at a distance of 1 mm from the plane of the mirror what is the fringe width when monochromatic light of 600 nm is incident from the sources

asked Jan 24, 2014 by meena.p

1 answer

In a young's double slit experiment illuminated by monochromatic light the slit separation is $0.3\;mm$ and slit- screen separation is $1.5 \;m$. If fourth bright fringe is 1 cm from central bright fringe, the wavelength of light used is

asked Jan 24, 2014 by meena.p

1 answer

In a young's double slit experiment the fringe width is $0.05\;mm$ when the distance of screen from slit is $75 \;cm$ . If the distance of screen from the slit is increased by $25 \;cm$ , the fringe width will be

asked Jan 23, 2014 by meena.p

1 answer

A slit of width 'a' is illuminated by white light. For what value of 'a' will the first minimum for red light of wavelength $\lambda =650 \;nm$ appear for $\theta =30^{\circ}$?

asked Jan 23, 2014 by meena.p

1 answer

What is the angular separation between two lines of $\lambda_1 =5882 \mathring{A}$ and $\lambda_2 =5852 \mathring{A}$ in first order grating with 6000 lines per cm in normal incidence.

asked Jan 23, 2014 by meena.p

1 answer

A thin film of oil of $\mu =1.2 $ floats on watch of $\mu_w =\large\frac{4}{3}$. A monochromatic light of wave length $\lambda= 9600 A^{\circ} $ falls normally and it appears dark. What must be minimum change in thickness of oil film which will appear bright if normally reflected by same light.

asked Jan 23, 2014 by meena.p

1 answer

A Plastic film of thickness t is placed in the path of one of the interfering wave in the young's double slit experiment and it is found that the central fringe is displaced through a width of 5 fringes . If wavelength of light used is $5890 \mathring{A}$ What is thickness of film used

asked Jan 23, 2014 by meena.p

1 answer

Two waves from coherent sources $S_1$ and $S_2$ having wavelength $\lambda$ arrive at a point P and complete destructive interference takes place . The path difference between them is

asked Jan 23, 2014 by meena.p

1 answer

Two slit in a young's double slit experiment is separated by a distance d. The screen distance is D and it is illuminated by a light of wavelength $\lambda$. A point 0 on the screen is $\large\frac{2d}{3} $ distance from the point which is directly in front of one of the slits. How far away is 0 from the central bright fringe.

asked Jan 23, 2014 by meena.p

1 answer

Two coherent sources of light $S_1 $ and $S_2$ are placed in a line as shown. Two screens are placed perpendicular to $S_1S_2$ at A and B . It is observed that at point P a bright fringe is seen , then at point Q.

asked Jan 23, 2014 by meena.p

1 answer

In a Young's double slit experiment at a point P on the screen the light from two slit with a path difference of $\large\frac{\lambda}{6} $ Where $\lambda$ is the wavelength of the incident light . The intensity of light at point P is I. If $I_0$ is maximum intensity then $\large\frac{I}{I_0}$

asked Jan 23, 2014 by meena.p

1 answer

In a young's double slit experiment 'd' distance between slit is $0.5\; mm$ and illuminated by light of $\lambda =6000 A^{\circ}$ If screen distance is 2.5m ,thedistance of third bright fringe from centre.

asked Jan 23, 2014 by meena.p

1 answer

In a Young's double slit experiment light of $\lambda =5000\mathring{A}$ is incident on two slits. At a point P on the screen the two rays arriving have a path difference of $1 \times 10^{-6} \;m$. If the central fringe (zero) is maxima . What is formed at p.

asked Jan 23, 2014 by meena.p

1 answer

Maximum intensity of the interference pattern in a young double slit experiment is I. Distance between slit is $d= 5 \lambda$ where $\lambda $ is wave length of the light source. What will be the intensity of light at a point directly in front of one of the slits. $(D= 50 \lambda)$

asked Jan 23, 2014 by meena.p

1 answer

In a Young's double slit experiment 'd' distance between slit is $1 \times 10^{-4}\;m$ and $D=1\; m $. ( distance of screen from slits ) At a point P on the screen the resulting intensity is equal to the intensity due to individual slit $I_0$ The distance of P from central maxima when wavelength of $x=6000\;\mathring{A}$ is

asked Jan 23, 2014 by meena.p

1 answer

A polariser and an analyser are oriented so that maximum light is transmitted of intensity $I_0$ What will be the intensity of the out coming light when analyer is rotated through $60^{\circ}$

asked Jan 23, 2014 by meena.p

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