Wave Optics

Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single slit of aperture 0.5 mm. The distance between the slit and the screen is 2.0 m. The separation between the positions of the first maxima of diffraction p...

Two light beams of intensities in the ratio of 9 : 4 are allowed to interfere. The ratio of the intensity of maxima and minima will be :

In a Young's double slit experiment, the slits are separated by 0.3 mm and the screen is 1.5 m away from the plane of slits. Distance between fourth bright fringes on both sides of central bright is 2.4 cm. The frequency of light used is __...

In Young's double slit experiment, if the source of light changes from orange to blue then :

The difference in the number of waves when yellow light propagates through air and vacuum columns of the same thickness is one. The thickness of the air column is ___________ mm. [Refractive index of air = 1.0003, wavelength of yellow light...

The light waves from two coherent sources have same intensity I1 = I2 = I0. In interference pattern the intensity of light at minima is zero. What will be the intensity of light at maxima?

In a Young's double slit experiment two slits are separated by 2 mm and the screen is placed one meter away. When a light of wavelength 500 nm is used, the fringe separation will be :

White light is passed through a double slit and interference is observed on a screen 1.5 m away. The separation between the slits is 0.3 mm. The first violet and red fringes are formed 2.0 mm and 3.5 mm away from the central white fringes. ...

A source of light is placed in front of a screen. Intensity of light on the screen is I. Two Polaroids P1 and P2 are so placed in between the source of light and screen that the intensity of light on screen is I/2. P2 should be rotated by a...

In the Young's double slit experiment, the distance between the slits varies in time as d(t) = d0 + a0 sin\(\omega\)t; where d0, \(\omega\) and a0 are constants. The difference between the largest fringe width and the smallest fringe width ...

Two coherent light sources having intensity in the ratio 2x produce an interference pattern. The ratio \({{{I_{\max }} - {I_{\min }}} \over {{I_{\max }} + {I_{\min }}}}\) will be :

Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter 0.1 \(\mu\)m. If the diameter of the pinhole is slightly increased, it will affect the diffraction pattern such that:

In a Young's double slit experiment, the width of the one of the slit is three times the other slit. The amplitude of the light coming from a slit is proportional to the slit-width. Find the ratio of the maximum to the minimum intensity in ...

An unpolarised light beam is incident on the polarizer of a polarization experiment and the intensity of light beam emerging from the analyzer is measured as 100 Lumens. Now, if the analyzer is rotated around the horizontal axis (direction ...

If the source of light used in a Young's double slit experiment is changed from red to violet :

With what speed should a galaxy move outward with respect to earth so that the sodium-D line at wavelength 5890 \(\mathop A\limits^o\) is observed at 5896 \(\mathop A\limits^o\) ?

The width of one of the two slits in a Young's double slit experiment is three times the other slit. If the amplitude of the light coming from a slit is proportional to the slit-width, the ratio of minimum to maximum intensity in the interf...

In Young's double slit arrangement, slits are separated by a gap of 0.5 mm, and the screen is placed at a distance of 0.5 m from them. The distance between the first and the third bright fringe formed when the slits are illuminated by a mon...

A galaxy is moving away from the earth at a speed of 286 kms\(-\)1. The shift in the wavelength of a redline at 630 nm is x \(\times\) 10\(-\)10 m. The value of x, to the nearest integer, is ____________. [Take the value of speed of light c...

A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelength of light used is 'x' nm. The value of 'x' to the nearest integer is ____________.

In a Young's double slit experiment 15 fringes
are observed on a small portion of the screen
when light of wavelength 500 nm is used. Ten
fringes are observed on the same section of
the screen when another light source of
wavelength $$\lamb...

In a double slit experiment, at a certain point
on the screen the path difference between the
two interfering waves is \({1 \over 8}\)th of a wavelength.
The ratio of the intensity of light at that point
to that at the centre of a bright fr...

A polarizer - analyser set is adjusted such that the intensity of light coming out of the analyser is just 10% of the original intensity. Assuming that the polarizer - analyser set does not absorb any light, the angle by which the analyser ...

Visible light of wavelength 6000 \(\times\) 10-8 cm falls normally on a single slit and produces a diffraction pattern. It is found that the second diffraction minimum is at 60o from the central maximum. If the first minimum is produced a...

In a Young's double slit experiment, the separation between the slits is 0.15 mm. in the experiment,
a source of light of wavelengh 589 nm is used and the interference pattern is observed on a
screen kept 1.5 m away. The separation between ...

In the figure below, P and Q are two equally intense coherent sources emitting radiation of
wavelength 20 m. The separation between P and Q is 5 m and the phase of P is ahead of that of Q
by 90o. A, B and C are three distinct points of obse...

A Young's double-slit experiment is performed using monochromatic light of wavelength \(\lambda\). The
intensity of light at a point on the screen, where the path difference is \(\lambda\), is K units. The intensity
of light at a point wh...

Two coherent sources of sound, S1 and S2,
produce sound waves of the same wavelength,
\(\lambda\) = 1 m, in phase. S1 and S2 are placed 1.5 m
apart (see fig). A listener, located at L, directly
in front of S2 finds that the intensity is at...

A beam of plane polarised light of large cross-sectional area and uniform intensity of 3.3 Wm-2 falls normally on a polariser (cross sectional area 3 \(\times\) 10-4 m2) which rotates about its axis with an angular speed of 31.4 rad/s. Th...

Orange light of wavelength 6000 \(\times\) 10–10 m illuminates a single slit of width 0.6 \(\times\) 10–4 m. The
maximum possible number of diffraction minima produced on both sides of the central maximum is
___________.

In a Young’s double slit experiment, light of
500 nm is used to produce an interference
pattern. When the distance between the slits
is 0.05 mm, the angular width (in degree) of
the fringes formed on the distance screen is
close to

Two light waves having the same wavelength \(\lambda\) in vacuum are in phase initially. Then the first wave
travels a path L1
through a medium of refractive index n1
while the second wave travels a path of length
L2
through a medium of...

Interference fringes are observed on a screen
by illuminating two thin slits 1 mm apart with a
light source (\(\lambda\) = 632.8 nm). The distance
between the screen and the slits is 100 cm. If
a bright fringe is observed on a screen at a
...

In a Young’s double slit experiment, 16 fringes
are observed in a certain segment of the
screen when light of a wavelength 700 nm is
used. If the wavelength of light is changed to
400 nm, the number of fringes observed in the
same segment o...

Consider a tank made of glass(refractive index 1.5) with a thick bottom. It is filled with a liquid of refractive index \(\mu\). A student finds that, irrespective of what the incident angle i (see figure) is for a beam of light entering t...

Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is 16. The intensity of the waves are in the ratio :

In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength \(\lambda\) = 500 nm is incident on the slits. The total number of bright fringes that are observed in the angular range \(-\) 30o\(\le\)$$\the...

The figure shows a Young's double slit
experimental setup. It is observed that when a
thin transparent sheet of thickness t and
refractive index μ is put in front of one of the
slits, the central maximum gest shifted by a
distance equal to ...

Diameter of the objective lens of a telescope is
250 cm. For light of wavelength 600nm.
coming from a distant object, the limit of
resolution of the telescope is close to :-

In an interference experiment the ratio of amplitudes of coherent waves is \({{{a_1}} \over {{a_2}}} = {1 \over 3}\) . The
ratio of maximum and minimum intensities of
fringes will be :

Calculate the limit of resolution of a telescope
objective having a diameter of 200 cm, if it has
to detect light of wavelength 500 nm coming
from a star :-

The value of numerical aperature of the objective lens of a microscope is 1.25. If light of wavelength 5000 \(\mathop A\limits^o\)
is used, the minimum separation between two points, to be seen as distinct, will be :

In a double slit experiment, when a thin film of thickness t having refractive index \(\mu\). is introduced in front of
one of the slits, the maximum at the centre of the fringe pattern shifts by one fringe width. The value of t is
($$\lam...

A system of three polarizers P1, P2, P3 is set up such that the pass axis of P3 is crossed with respect to that of P1.
The pass axis of P2 is inclined at 60o to the pass axis of P3. When a beam of unpolarized light of intensity I0 is
incide...

In a Young's double slit experiment, the path difference, at a certain point on the screen, between two interfering waves is \({1 \over 8}\) th of wavelength. The ratio of the intensity at this point to that at the centre of a bright fringe...

In a double-slit experiment, green light (5303\(\mathop A\limits^ \circ\)) falls on a double slit having a separation of 19.44 \(\mu\)m and awidht of 4.05 \(\mu\)m. The number of bright fringes between the first and the second diffracti...

In a Young’s double slit experiment with slit separation 0.1 mm, one observes a bright fringe at angle \({1 \over {40}}\) by using light of wavelength \(\lambda\)1. When the light of wavelength \(\lambda\)2 is used a bright fringe is s...

Consider a Young’s double slit experiment as shown in figure. What should be the slit separation d in terms of wavelength \(\lambda\) such that the first minima occurs directly in front of the slit (S1) ?

In a Young's double slit experiment, the ratio of the slit's width is 4 : 1. The ratio of the intensity of maxima to minima, close to the central fringe on the screen, will be :

Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B. The intensity of emergent light is I/2. If a third polarizer C is placed between A and B, the intensity of emergent light is reduced to I/3. The a...