In a Fresnel biprism experiment, the two positions of lens give separation between the slits as $16 $cm and$9 $cm, respectively. What is the actual distance of separation?

A parallel beam of light of wavelength 6000 $\overset{0}{A}$ gets diffracted by a single slit of width 0.3 mm. The angular position of the first minima of diffracted light is

Light of wavelength 600 nm is incident on an aperture of size 2 mm. The distance upto which light can travel such that its spread is less than the size of the aperture is:

For what distance is ray optics a good approximation when the aperture is 4 mm wide and the wavelength is 500 nm? 

In a Fraunhofer diffraction at single slit of width d with incident light of wavelength $5500 A^0$, the first minimum is observed at angle $30^0$. The first secondary maximum is observed at an angle $\theta$ =

The intensity of light at a distance $r$ from the axis of a long cylindrical source is inversely proportional to $r$.

In diffraction occurs through a single slit then intensity of first secondary maxima become ...................  % of central maxima :-

Two slits of width $a _1$  and $a _2$ are illuminated by light of same wavelength.The first diffraction minima produced by each of them are in directions inclined at angles $\theta _1$ and $\theta _2$. The ratio of $sin\, \theta _1$ to $sin\,\theta _2$ is

When monochromatic light is replaced by white light in Fresnel's biprism arrangement, the central fringe is

Among the Fresnel zones the operative zones contributing intensity are :

The average path difference between two waves coming from third and fifth Fresnel zones of a wave front at the centre of the screen is :

In Young's double slit experiment, angular width of fringes is $0.20^o$ for sodium light of wavelength $5890\overset{o}{A}$. If complete system is dipped in water, then angular width of fringes becomes.

In single slit diffraction pattern

A transverse wave propagating along x-axis isrepresented by
$y\left (x, t \right ) = 8.0 \sin \left (0.5 \pi x - 4 \pi rt - \frac{\pi} {4}  \right )$
where $x$ is in metres and t is in seconds. The speed of the wave is:-

The distance between two virtual images of slits in a biprism experiment is measured using the convex-lens which is

A biprism arrangement in air is immersed completely in a liquid. The fringe width

A beam of natural light falls on a system of $6$ polaroids, which are arranged in succession such that each polaroid is turned through ${30}^{o}$ with respect to the preceeding one. The percentage of incident intensity that passes through the system will be

In the diffraction of light of wavelength $\lambda$ through single slit of width d, the angle between the principal maxima and first minima will be:

A parallel beam of wavelength $\lambda =4500\mathring { A }$passes through a long slit of width $2\times 10^{-4}m$. The angular divergence for which most of the light is diffracted is (in $\times 10^{-5}$) radian)

A double slit arrangement produces interference fringes for sodium light ($\lambda=5890 \mathring {A}$) that are $0.40^0$ apart. What is the angular fringe separation if the entire arrangement is immersed in water?

In a biprism experiment, the distances of a point in the focal plane of the eye-lens where the fringes are formed two optical images of the slit differ by $165.5 $wavelengths. Is the point bright or dark? If the path difference is $9.75 \times 10^{-5}m$, calculate the wavelength of light used.

If inter planar distance in a crystal is $2\times { 10 }^{ -8 }$ m then value of maximum wavelength can be diffracted is :

In a fresnel's bi-prism experiment , the refracting angles of the prism were 2.5$^o$ and the refracting index of the glass was 1.5 . With the single slit 10 cm from the bi-prism ,fringes were formed on a screen 1 m from the single slit . The fringe width is 0.1375 mm . The wavelength of light is 

A biprism experiment was performed by using red light of wavelength $ 6500\mathring{A} $ and blue light of wavelength $ 5200\mathring{A}$. the value of n for which $ (n+1)^{th} $ blue bright band coincides with $ n^{th} $ red band is

A two slit youngs interference experiment is done with monochromatic light of wavelength $6000 /A$. The slits are $2 /mm$ apart. The fringes are observed on a screen placed $10 /cm$ away from the slits. Now a transparent plate of thickness $0.5 /mm$ is placed in front of one of the slits and it is found  that the interference pattem shifts by $5 /mm$. The refractive index of the transparent plate is :

The ratio of radii of Fresnel's  fourth to ninth zone is 

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 wavelength $\lambda$ the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say $b _{min}$) when :

The correct relation between the angle of diffraction $\phi $ and the glancing angle $\theta $ in Davisson-Germer experiment will be:

The distance between two consecutive atoms of the crystal lattice is $1.227\overset {\circ}{A}$. The maximum order of diffraction of electrons accelerated through $10^{4}$ volt will be:

In Fresnel diffraction, if the distance between the disc and the screen is decreased, the intensity of central bright spot will 

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 wavelength $\lambda$ the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say $b _{min}$) when

A light wave is incident normally on a glass slab of refractive index $1.5$. If $4\%$ of light gets reflected and the amplitude of the electric field of the incident light is $30\ V/m$,then the amplitude of the electric field for the wave propogating in the glass medium will be:

Light of wavelength 6328 A IS incident normally on a slit having a width of 0.2 mm. The width of the central maximum measured from minimum to minimum of diffraction pattern on a screen 9.0 meters away will be about

In a biprism experiment, interference bands are observed at a distance of one meter fromthe slit. A convex lens is put between the slit and the eyepiece gives two images of slit 0.7$\mathrm { cm }$ apart, the lens being 70$\mathrm { cm }$ from the eyepiece. The fringe width will be: $\left( \lambda = 6000 \mathrm { A } ^ { 9 } \right)$ 

Conditions of diffraction is

A diffraction is obtained by using a beam of red light. What will happen if the red light is replaced by the blue light 

Direction of the first secondary maximum in the Fraunhofer diffraction pattern at a single slit is given by (a is the width of the slit)

If the whole bi-prism experiment is immersed in water then the fringe width becomes, if the refractive indices of bi-prism material and water are $1.5$ and $1.33$ respectively, 

In the Fresnel bi-prism experiment, the refractive index for the bi-prism is $\mu=3/2$ and fringe width obtained is $0.4mm$. If the whole apparatus is immersed as such in water then the fringe width will become(refractive index of water is $4/3$).

In bi-prism experiment, fringes are obtained by white light sources. The fringe nearest to the central fringe will be

In a bi-prism experiment fifth dark fringes are obtained at a point. If a thin transparent film is placed in the path of one of waves, then seventh bright fringe is obtained at the same point. The thickness of the film in terms of wavelength $X$ and refractive index $\mu$ will be

The refracting angle of bi-prism is

In bi-prism experiment the light source is

Which of the following formulae is incorrect in a bi-prism?

In Fresnel's bi-prism experiment, the coherent sources are obtained by

Which of the following statements is correct?

In a Fresnel's biprism experiment the two positions of lens separation between the slits as $16cm$ and $9cm$ respectively. The true distance of separation between the slits is 

In Young's experiment fourth bright fringe produced by light of $5000\overset{o}{A}$ superposes on the fifth bright fringe of an unknown wavelength. The unknown wavelength is _________$\overset{o}{A}$.

A monochromatic plane wave of speed c and wavelength $\lambda$ is diffracted at a small aperture. The diagram illustrates successive wave fronts.
After what time will some portion of the wave front GH reach point P?

Diffraction is a term used to describe one aspect of wave behaviour.
What does diffraction make possible?

Two wave-fronts are emitted from coherent sources of path difference between them is $2.1$ micron. Phase difference between the wave-fronts at that point is $7.692\ \pi$. Wavelength of light emitted by sources will be :

A screen is at a distance of $1\ m$ away from the aperture. If light of wavelength $500\ nm$ falls on an aperture, then area of first HPZ and radius of third HPZ are :

The sodium yellow doublet has wavelengths $5890\mathring{A}$ and $'\lambda' \mathring{A}$ and resolving power of a grating to resolve these lines is $982$, then value of $\lambda$ is :

The phenomenon of diffraction can be treated as interference phenomenon if the number of coherent sources is 

In Fresnel's biprism expt., a mica sheet of refractive index 1.5 and thickness 6 $\times$ 10$^{-6}$m is placed in the path of one of interfering beams as a result of which the central fringe gets shifted through 5 fringe widths. The wavelength of light used is

An aperture of size a is illuminated by a parallel beam of light of wavelength $\lambda$. The distance at which ray optics has a good approximation is

Diffraction gratings provide much brighter interference pattern since more light passes through them compared with double slits.

In biprism experiment, the distance of 20th bright band from the centre of the interference pattern is 8 mm. The distance of the 30th bright band is

In a biprism experiment, the fringe width obtained on the screen is $6\ mm$ from the slits which are $1.5\ m$ away from each other. Keeping the setting unchanged if the eye-piece is moved $20\ cm$ towards the biprism, find the change in fringe width.

In a Fresnel's bi-prism experiment, the fringe of width $0.05mm$ is observed on a screen at a distance of $1.5m$ from the source . When a convex lens is placed between the source and the screen, for two positions of the lens image of interfering sources are produced on the screen. The separation between the two images being $0.04$ and $0.01mm$, respectively. The wavelength of light used is

When a certain photosensistive surface is illuminated with monochromatic light of frequency v, the stopping potential for the photo current is-${ V } _{ 0 }/2.$ When the surface frequency v/2, the stopping potential is -${ V } _{ 0 }.$ The threshold frequency for photoelectric emission is

A thin water of $9.9\mu$ m thickness and refractive index $1.5$ is introduced in front of one of the slits in a Young's double slit experiment. By how many fringe width does the fringe pattern shift? (Given wavelength of the wave is $5.5\times 10^{-7}$m)

Monochromatic light of wavelength $400\ nm$ and $560\ nm$ are incident simultaneously and normally on double slits apparatus whose slits separation is $0.1\ mm$ and screen distance is $1\ m$. Distance between areas of total darkness will be:

In, which of the following the interference is produced by the division of wave front? 

The light of one single color is called as:

State whether given statement is True or False
In Young's double slit experiment, the two coherent sources are real.

In Young's experiment, the source is red light of wavelength $7\times 10^{-7}m$. When a thin glass plate of refractive index $1.5$ at this wavelength is put is the path of one of the interfering beam, the central bright fringe shifts by $10^{-3} m$ to the position previously occupied by the $5^{th}$ bright fringe. Find the thickness of the plate. When the source is now changed to green light of wavelength $5\times 10^{-7}m$ the central fringe shifts to a position initially occupied by the $6^{th}$ bright fringe due to red light. Find the refractive index of glass for the green light. Also estimate the change in fringe width due to the change in wavelength.

If the intensity of the waves observed by two coherent sources is $I$. Then the intensity if resultant wave in constructive interference will be:-

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

The yellow light source in Young's double- slit experiment is replaced by a monochromatic red light source of same intensity. Then the fringe width of the interference pattern in comparison with that of the previous pattern will 

In a Young's double slit experiment, $d = 1\ mm,$ $\lambda = 6000 \overset {0}{A}$ & $D = 1\ m.$ The slits produce same intensity on the screen. The minimum distance between two points on the screen having $75\%$ intensity of the maximum intensity is:

Direction:
The question has a paragraph followed by two statements, Statement-1 and Statement-2. Of the given four alternatives after the statements, choose the one that describes the statements.
A thin air film is formed by putting the convex surface of a plane-convex lens over a plane glass plate. 
With monochromatic light, this film gives an interference pattern due to light reflected from the top (convex) surface and the bottom (glass plate) surface of the film. 
Statement -1 : When light reflects from the air-glass plate interface, the reflected wave suffers a wave change of $\pi $
Statement-2: The centre of the interference pattern is dark

The distance of n bright fringe to the $(n+1)^{th}$ dark fringe in Young's experiments is equal to : 

In a young's bouble slit experiment ,$d=1mm,\lambda  = 6000\mathop A\limits^0 $ and $D=1m$(where d,$\lambda$ and D have unit meaning). Each of slit individually produces same intensity on the screen. The minimum distance between two points  on the screen having $75$% intensity of the maximum intensity is:

 In Young's experiment , the separation between 5th maxima and 3rd minima is how many times as that of fringr width?

Monochromatic light of wavelength 580 mm incident on a slit of width 0.30 mm. The screen 2 m from the slit. the width of the center maximum is 

Monochromatic green light of wavelength 5 $\times 10^{-7}$ m illuminates a pair of slits 1 mm apart. The separation of bright lines in the interference pattern formed on a screen 2 m away is :

A metal plate is placed 2 m away from a monochromatic light source of 1 mW power. Assuming that an electron in metal collects its energy from a circular area of the plate as large as 10 atomic diameters (${10^{ - 9}}\;m$) in radius, calculate how long it will take for such a 'target' to 'soak off' % eV of energy for its emission from the metal?

To make the central fringe at the centre O, a mica sheet of refractive index $1.5$ is introduced. Choose the correct statements (s).

Monochromatic green light of wavelength $5x{ 10 }^{ -7 }$ m illuminates a pair of slits 1 mm apart. The separation of bright lines on the interference pattern formed on a screen 2m away is 

Each of the four pairs of light waves arrives at a certain point on a screen. The waves have the same wavelength. At the arrival point, their amplitudes and phase differences are :
$2 \mathrm { a } _ { 0 } , 6 \mathrm { a } _ { 0 } $ and $\pi$ rad
$3 \mathrm { a } _ { 0 } , 5 \mathrm { a } _ { 0 } $ and $\pi$ rad
$9 \mathrm { a } _ { 0 } , 7 \mathrm { a } _ { 0 } $ and $3\pi$ rad
$2 \mathrm { a } _ { 0 } , 2\mathrm { a } _ { 0 } $ and $0$
The pair/s which has greatest intensity is /are :

In Young's double slit. experiment, distance between two sources is 0.1 mm. The distance of screen from the sources is 20 cm. Wavelength of light used is 5460 k Then angular position of first dark fringe is 

The waves of $600 \mu m$ wave length are incident normally on a slit of $1.2\ mm$ width. The value of diffraction angle corresponding to the first minima will be (in radian):

In the case of interference, The maximum and minimum intensities are in the ratio $16:9$. Then

In young's double slits experiments , the distance between the slits is 1 mm and that between slit and screen is 1 meter and 10th fringe is 5 mm away from the central bright fringe, then wavelength of light used will be

Using monochromatic light of wavelength $\lambda $  an experimentalist sets up the Young's double sit experiment in three ways as shown, If the observes they $y=\beta $  the wavelenght of light used is 

In young's double slit experiment, when two light waves form third minimum intensity, they have 

For constructive interference to take place between two monochromatic light waves of wavelength $  \lambda  $ , the path difference should be

A young double slit experiment uses a monochromatic source The shape of the interference fringes formed on a screen is

A slit of width $d$ is illuminated by white light. For red light ($\lambda = 6500 $), the first minima is obtained at $\theta = 30$. Then, the value of $d$ will be

A beam of light of $  \lambda=600 n m  $ from a distant source falls on a single slit $1$ $ \mathrm{mm}  $ wide and the resulting diffraction pattern is observed on a screen $2$ $ \mathrm{m}  $ away. The distance between first dark fringes on either side of the central bright fringe is

A concave mirror having radius of curvature 40cm is placed in front of an illuminated source at a distance of 30cm. If find the location of the image.

A monochromatic light of $\lambda =5000{ A }^{ \circ  }$ is incident on the slits separated by a distance $5\times { 10 }^{ -4 }m.$ The interference pattern is seen on a screen placed at a distance 1 m from the slits. A thin glass plate of thickness $1.5\times { 10 }^{ -6 }m$ and refractive index $\mu =1.5$ is placed  between one of the slits and the screen. The lateral shift of the central maximum is 

Two wavelengths of light of wavelength ${\lambda _1} = 4500\mathop {\text{A}}\limits^{\text{o}} $
 and ${\lambda _2} = 6000\mathop {\text{A}}\limits^{\text{o}} $ are sent through a Young's double slit apparatus simultaneously then

In $YDSE$, slab of thickness $t$ and refractive index $\mu$ is placed in front of any slit. Then displacement of central maximum in terms of fringe width when light of wavelength $\lambda$ is incident on system is 

Light of wavelength $ 5000 \mathring { A }  $ passes through a slit of width 6.5 cm and forms a difference pattern with a lens of focal length 40 cm, held close to the slit.The distance between the first minimum and the first secondary maximum is

In Young's double slit experiment using monochromatic light the fringe pattern shifts by a certain distance on the screen when a mica sheet of a refractive index $1.6$ and thickness $1.964$ microns is introduced in the path of one of the interfering waves. The mica sheet is then removed and the distance between the plane of slits and the screen is doubled. It is found that the the distance between successive maxima (or minima) now is the same as the observed fringe shift upon the introduction of the mica sheet. The wavelength of the light will be

The Young's modulus of a wire is determined by the apparatus known as

If a torch is used in place of monochromatic light in Young's experiment what will happens?

In Young's double slit experiment if monochromatic light used is replaced by white light, then

On a rainy day, small oil films on water show brilliant colours. This is due to

In Young's double slit experiment, the wavelength of red light $7500\overset {\circ}{A}$ and that of blue light is $5000\overset {\circ}{A}$. The value of $n$ for which $n^{th}$ bright band due to red light coincides with $(n + 1)^{th}$ bright band due to blue light, is

In $YDSE$ how many maxima can be obtained on the screen if wavelength of light used is $200\ nm$ and $d = 700\ nm$.

In a Young's double slit experiment the intensity at a point where the path difference is $ \dfrac { \lambda  }{ 6 } $ ($\lambda $ being the wavelength of the light used) is $I$. if ${ I } _{ 0 }$ denotes the maximum intensity, is equal to

In Young's double slit experiment using monochromatic light of wavelengths $\lambda$, the intensity of light at a point on the screen with path difference $\lambda$ is M units. The intensity of light at a point where path difference is $\lambda/3$ is then