Wave Optics

In an interference experiment, the $\mathrm{n}^{\text {th }}$ bright fringe for light of wavelength $\lambda_1(\mathrm{n}=0,1,2,3 \ldots)$ coincides with the $\mathrm{m}^{\text {th }}$ dark fringe for light of wavelength $\lambda_2(\mathrm{...

In Young's double slit experiment using monochromatic light of wavelength ' $\lambda$ ', the intensity of light at a point on the screen where path difference ' $\lambda$ ' is K units. The intensity of light at a point where the path differ...

A screen is placed at 50 cm from a single slit, which is illuminated with light of wavelength 600 nm . If separation between the $1^{\text {st }}$ and $3^{\text {rd }}$ minima in the diffraction pattern is 3 mm then slit width is

In Young's double slit experiment, in an interference pattern, second minimum is observed exactly in front of one slit. The distance between the two coherent sources is ' $d$ ' and the distance between the source and screen is ' $D$ '. The ...

The intensity of light coming from one of the slits in Young's double slit experiment is double the intensity from the other slit. The ratio of the maximum intensity to the minimum intensity in the interference fringe pattern observed is

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

Two points separated by a distance of 0.1 mm can just be seen in microscope when light of wavelength $6000 \mathop A\limits^o $ is used. If the light of wavelength $4800 \mathop A\limits^o $ is used, the limit of resolution will become

The intensity ratio of the maxima and minima in an interference pattern produced by two coherent sources of light is $9: 1$. The intensities of the light sources used are in the ratio

A diffraction pattern is obtained using a beam of red light. If red light is replaced by blue light then

Two sound waves each of wavelength ' $\lambda$ ' and having the same amplitude ' $A$ ' from two source ' $\mathrm{S}_1$ ' and ' $\mathrm{S}_2$ ' interfere at a point P . If the path difference, $\mathrm{S}_2 \mathrm{P}-\mathrm{S}_1 \mathrm{...

In Young's double slit experiment, intensity at a point is $\left(\frac{1}{4}\right)$ of the maximum intensity. The angular position of this point is

The angular separation of the central maximum in the Fraunhofer diffraction pattern is measured. The slit is illuminated by the light of wavelength $6000 \mathop A\limits^o$. If the slit is illuminated by light of another wavelength, the an...

In a double slit experiment, the distance between slits is increased 10 times, whereas their distance from screen is halved, the fringe width

In a single slit diffraction experiment, for a wavelength of light ' $\lambda$ ', half-angular width of the principle maxima is ' $\theta$ '. Also for wavelength of light $\mathrm{p} \lambda$, the half angular width of the principle maxima ...

In double slit experiment, instead of taking slits of equal widths, one slit is made twice as wide as the other. Then in interference pattern

In biprism experiment, the fringe width is 0.6 mm . The distance between $6^{\text {th }}$ dark fringe and $8^{\text {th }}$ bright fringe on the same side of central bright fringe is

In Young's double slit experiment, 'I' is the minimum intensity and ' $I_1$ ' is the intensity at a point where the path difference is $\frac{\lambda}{4}$ where ' $\lambda$ ' is the wavelength of light used. The ratio $I_1 \mathrm{I}_1$ is ...

Sodium light $\left(\lambda=6 \times 10^{-7} \mathrm{~m}\right)$ is used to produce interference pattern. The observed fringe width is 0.12 mm . The angle between the two wave trains is

In Young's double slit experiment, the intensity of light at a point on the screen where the path difference is $\lambda$ is x units, $\lambda$ being the wavelength of light used. The intensity at a point where the path difference is $\frac...

A plate of refractive index 1.6 is introduced in the path of light from one of the slits in Young's double slit experiment then

Two identical light waves having phase difference $\phi$ propagate in same direction. When they superpose, the intensity of resultant wave is proportional to

In Fraunhofer diffraction pattern, slitwidth is 0.5 mm and screen is at 2 m away from the lens. If wavelength of light used is $5500\mathop A\limits^o$, then the distance between the first minimum on either side of the central maximum is ( ...

How is the interference pattern affected when violet light replaces sodium light?

The phase difference between two waves giving rise to dark fringe in Young's double slit experiment is ( n is the integer)

Considering interference between two sources of intensities ' I ' and ' 4 I ', the intensity at a point where the phase difference is $\pi$ is $(\cos \pi=-1)$

In a diffraction pattern due to single slit of width ' $a$ ', the first minimum is observed at an angle $30^{\circ}$ when light of wavelength $5000 \mathop A\limits^o$ is incident on the slit. The first secondary maximum is observed at an a...

In biprism experiment, if $5^{\text {th }}$ bright band with wavelength $\lambda_1$ coincides with $6^{\text {th }}$ dark band with wavelength $\lambda_2$ then the ratio $\left(\lambda_1 / \lambda_2\right)$ is

In young's double slit experiment, the $\mathrm{n}^{\text {th }}$ maximum of wavelength $\lambda_1$ is at a distance of $y_1$ from the central maximum. When the wavelength of the source is changed to $\lambda_2,\left(\frac{\mathrm{n}}{3}\ri...

In Young's double slit experiment, the distance between the two coherent sources is ' d ' and the distance between the source and screen is ' D '. When the wavelength $(\lambda)$ of light source used is $\frac{d^2}{3 D}$, then $n^{\text {th...

In Young's double slit experiment, the slits are separated by 0.6 mm and screen is placed at a distance of 1.2 m from slit. It is observed that the tenth bright fringe is at a distance of 8.85 mm from the third dark fringe on the same side....

Two light rays having the same wavelength ' $\lambda$ ' in vacuum are in phase initially. Then, the first ray travels a path ' $\mathrm{L}_1$ ' through a medium of refractive index ' $\mu_1$ ' while the second ray travels a path of length '...

The rays of different colours fail to converge at a point after passing through a thick converging lens. This defect is called

In a single slit experiment, the width of the slit is doubled. Which one of the following statements is correct?

In a diffraction pattern due to single slit of width '\(a\)', the first minimum is observed at an angle of \(30^{\circ}\) when the light of wavelength \(5400 \mathop A\limits^o\) is incident on the slit. The first secondary maximum is obser...

A beam of unpolarized light passes through a tourmaline crystal A and then it passes through a second tourmaline crystal B oriented so that its principal plane is parallel to that of A. The intensity of emergent light is \(I_0\). Now B is r...

In Young's double slit experiment, the fringe width is \(2 \mathrm{~mm}\). The separation between the \(13^{\text {th }}\) bright fringe and the \(4^{\text {th }}\) dark fringe from the centre of the screen on same side will be

In Young's double slit experiment, the wavelength of light used is '\(\lambda\)'. The intensity at a point is '\(\mathrm{I}\)' where path difference is \(\left(\frac{\lambda}{4}\right)\). If \(I_0\) denotes the maximum intensity, then the r...

Light of wavelength ',\(\lambda\)' is incident on a slit of width '\(\mathrm{d}\)'. The resulting diffraction pattern is observed on a screen at a distance '\(D\)'. The linear width of the principal maximum is then equal to the width of the...

If \(\mathrm{I}_0\) is the intensity of the principal maximum in the single slit diffraction pattern, then what will be the intensity when the slit width is doubled?

In Young's double slit experiment, \(8^{\text {th }}\) maximum with wavelength '\(\lambda_1\)' is at a distance '\(d_1\)' from the central maximum and \(6^{\text {th }}\) maximum with wavelength '\(\lambda_2\)' is at a distance '$$\mathrm{d...

The diffraction fringes obtained by a single slit are of

Two wavelengths of sodium light \(590 \mathrm{~nm}\) and \(596 \mathrm{~nm}\) are used one after another to study diffraction due to single slit of aperture \(2 \times 10^{-6} \mathrm{~m}\). The distance between the slit and the screen is $...

When two light waves each of amplitude '\(A\)' and having a phase difference of \(\frac{\pi}{2}\) superimposed then the amplitude of resultant wave is

On replacing a thin film of mica of thickness \(12 \times 10^{-5} \mathrm{~cm}\) in the path of one of the interfering beams in Young's double slit experiment using monochromatic light, the fringe pattern shifts through a distance equal to ...

\(\mathrm{A}\) and \(\mathrm{B}\) are two interfering sources where \(\mathrm{A}\) is ahead in phase by \(54^{\circ}\) relative to B. The observation is taken from point \(\mathrm{P}\) such that PB \(-\) PA = 2.5 \(\lambda\). Then the phase...

In a biprism experiment, monochromatic light of wavelength '\(\lambda\)' is used. The distance between two coherent sources '\(\mathrm{d}\)' is kept constant. If the distance between slit and eyepiece '\(\mathrm{D}\)' is varied as $$D_1, D_...

Of the two slits producing interference in Young's experiment, one is covered with glass so that light intensity passing is reduced to \(50 \%\). Which of the following is correct?

The path difference between two identical light waves at a point \(Q\) on the screen is \(3 \mu \mathrm{m}\). If wavelength of the waves is \(5000 \mathop A\limits^o\), then at point \(Q\) there is

Light of wavelength \(5000 \mathop A\limits^o\) is incident normally on a slit. The first minimum of the diffraction pattern is observed to lie at a distance of \(5 \mathrm{~mm}\) from the central maximum on a screen placed at a distance of...

A beam of light is incident on a glass plate at an angle of \(60^{\circ}\). The reflected ray is polarized. If angle of incidence is \(45^{\circ}\) then angle of refraction is