Wave Optics

In two separate setups for Biprism experiment using same wavelength, fringes of equal width are obtained. If ratio of slit separation is \(2: 3\) then the ratio of the distance between the slit and screen in the two setups is

In Young's double slit experiment the intensities at two points, for the path difference \(\frac{\lambda}{4}\) and \(\frac{\lambda}{3}\) (\(\lambda=\) wavelength of light used) are \(I_1\) and \(I_2\) respectively. If \(\mathrm{I}_0\) denot...

One of the slits in Young's double slit experiment is covered with a transparent sheet of thickness \(2.9 \times 10^{-3} \mathrm{~cm}\). The central fringe shifts to a position originally occupied by the \(25^{\text {th }}\) bright fringe. ...

In Young's double slit experiment when a glass plate of refractive index 1.44 is introduced in the path of one of the interfering beams, the fringes are displaced by a distance '\(y\)'. If this plate is replaced by another plate of same thi...

The ratio of intensities of two points on a screen in Young's double slit experiment when waves from the two slits have a path difference of \(\frac{\lambda}{4}\) and \(\frac{\lambda}{6}\) is
$$\left(\cos 90^{\circ}=0, \cos 60^{\circ}=0.5\r...

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

In the experiment of diffraction due to a single slit, if the slit width is decreased, the width of the central maximum

A double slit experiment is immersed in water of refractive index 1.33. The slit separation is \(1 \mathrm{~mm}\), distance between slit and screen is \(1.33 \mathrm{~m}\) The slits are illuminated by a light of wavelength $$6300 \mathop A\...

In Young's double slit experiment, green light is incident on two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the observed fringes to be more closely spaced?

In Young's double slit experiment, the fifth maximum with wavelength '\(\lambda_1\)' is at a distance '\(y_1\)' and the same maximum with wavelength '\(\lambda_2\)' is at a distance '\(y_2\)' measured from the central bright band. Then $$\f...

A beam of light of wavelength \(600 \mathrm{~nm}\) 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 the first dar...

Two sources of light \(0.6 \mathrm{~mm}\) apart and screen is placed at a distance of \(1.2 \mathrm{~m}\) from them. A light of wavelength \(6000\,\mathop A\limits^o\) used. Then the phase difference between the two light waves interfering ...

In Young's double slit experiment the separation between the slits is doubled without changing other setting of the experiment to obtain same fringe width, the distance 'D' of the screen from slit should be made

A person is observing a bacteria through a compound microscope. For better observation and to improve its resolving power he should

Light waves from two coherent sources arrive at two points on a screen with path difference of zero and \(\frac{\lambda^{\prime}}{2}\). The ratio of intensities at the points is \(\left(\cos 0^{\circ}=1, \cos \pi=-1\right)\)

A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern

In Young's double slit experiment, the two slits are 'd' distance apart. Interference pattern is observed on a screen at a distance 'D' from the slits. A dark fringe is observed on a screen directly opposite to one of the slits. The wavelen...

A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern

In a Fraunhofer diffraction at a single slit of width 'd' and incident light of wavelength \(5500 \mathop A\limits^o\), the first minimum is observed at an angle \(30^{\circ}\). The first secondary maxima is observed at an angle \(\theta\),...

Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is \(\pi / 2\) at point \(\mathrm{A}\) and \(\pi\) at point \(\mathrm{B}\). Then the difference between...

In Young's double slit experiment, in an interference pattern, a minimum is observed exactly in front of one slit. The distance between the two coherent sources is '\(\mathrm{d}\)' and '\(\mathrm{D}\)' is the distance between the source and...

A beam of light having wavelength \(5400 \mathrm{~A}\) from a distant source falls on a single slit \(0.96 \mathrm{~mm}\) wide and the resultant diffraction pattern is observed on a screen \(2 \mathrm{~m}\) away. What is the distance betwee...

The path difference between two interfering light waves meeting at a point on the screen is \(\left(\frac{57}{2}\right) \lambda\). The bond obtained at that point is

Two monochromatic beams of intensities I and 4 I respectively are superposed to form a steady interference pattern. The maximum and minimum intensities in the pattern are

In the interference experiment using a biprism, the distance of the slits from the screen is increased by \(25 \%\) and the separation between the slits is halved. If '\(W\)' represents the original fringewidth, the new fringewidth is

In biprims experiment, the \(4^{\text {th }}\) dark band is formed opposite to one of the slits. The wavelength of light used is \((\mathrm{d}=\) distance between the slits, \(\mathrm{D}=\) distance between scource and the screen)

In Young's experiment with a monochromatic source and two slits, one of the slits is covered with black opaque paper, the fringes will

In Young's double slit experiment, the distance of \(\mathrm{n}^{\text {th }}\) dark band from the central bright band in terms of bandwidth '\(\beta\)' is

In biprism experiment, \(6^{\text {th }}\) bright band with wavelength '\(\lambda_1\)' coincides with \(7^{\text {th }}\) dark band with wavelength '\(\lambda_2\)' then the ratio \(\lambda_1: \lambda_2\) is (other setting remains the same)

In Young's double slit experiment, the intensity at a point where path difference is \(\frac{\lambda}{6}\) (\(\lambda\) being the wavelength of light used) is \(I^{\prime}\). If '\(I_0\)' denotes the maximum intensity, then $$\frac{I}{I_0}$...

The width of central maximum of a diffraction pattern on a single slit does not depend upon

A single slit diffraction pattern is formed with white light. For what wavelength of light the \(3^{\text {rd }}\) secondary maximum in diffraction pattern coincides with the \(2^{\text {nd }}\) secondary maximum in the pattern of red light...

In Young's double slit experiment, the \(10^{\text {th }}\) 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 '\(\lambda_2\)', \(5^{th}\) maximum is...

If two sources emit light waves of different amplitudes then

In Young's double slit experiment using monochromatic light of wavelength '\(\lambda\)', the maximum intensity of light at a point on the screen is \(\mathrm{K}\) units. The intensity of light at point where the path difference is $$\frac{\...

A double slit experiment is immersed in water of refractive index 1.33. The slit separationis 1 \(\mathrm{mm}\) and the distance between slit and screen is \(1.33 \mathrm{~m}\). The slits are illuminated by a light of wavelength $$6300\,\ma...

In biprism experiment, 21 fringes are observed in a given region using light of wavelength 4800 \(\mathop A\limits^o\). If light of wavelength 5600 \(\mathop A\limits^o\) is used, the number of fringes in the same region will be

In diffraction experiment, from a single slit, the angular width of central maximum does NOT depend upon

Two coherent sources 'P' and 'Q' produce interference at point 'A' on the screen, where there is a dark band which is formed between 4th and 5th bright band. Wavelength of light used is 6000 \(\mathop A\limits^o\). The path difference PA a...

In Young's experiment, fringes are obtained on a screen placed at a distance \(75 \mathrm{~cm}\) from the slits. When the separation between two narrow slits is doubled, then the fringe width is decreased. In order to obtain the initial fri...

Two coherent sources of wavelength '\(\lambda\)' produce steady interference pattern. The path difference corresponding to 10\(^{th}\) order maximum will be

In Fraunhofer diffraction pattern, slit width is 0.2 mm and screen is at 2m away from the lens. If wavelength of light used is 5000\(\mathop A\limits^o\) then the distance between the first minimum on either side of the central maximum is ...

Light of wavelength '\(\lambda\)' is incident on a single slit of width 'a' and the distance between slit and screen is 'D'. In diffraction pattern, if slit width is equal to the width of the central maximum then \(\mathrm{D}=\)

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

In Young's double slit experiment, the intensity at a point where the path difference is \(\frac{\lambda}{4}\) [ \(\lambda\) is wavelength of light used] is '\(\mathrm{I}\)'. If '\(\mathrm{I}_0\)' is the maximum intensity then $$\frac{\math...

In Young's double slit experiment, with a source of light having wavelength \(6300 \mathop A\limits^o\), the first maxima will occur when the

In a single slit diffraction pattern, the distance between the first minimum on the left and the first minimum on the right is \(5 \mathrm{~mm}\). The screen on which the diffraction pattern is obtained is at a distance of $$80 \mathrm{~cm}...

A graph is plotted between the fringe-width Z and the distance D between the slit and eye-piece, keeping other adjustment same. The correct graph is
(A)
(B)
(C)
(D)

The Brewster's angle for the glass-air interface is $(54.74)^{\circ}$. If a ray of light passing from air to glass strickes at an angle of incidence $45^{\circ}$, then the angle of refraction is
$$\left[\tan (54.74)^{\circ}=\sqrt{2}, \sin 4...

When a photon enters glass from air, which one of the following quantity does not change?