Wave Optics

Light of wavelength \(550\) \(nm\) falls normally on a slit of width \(22.0 \times {10^{ - 5}}\) \(cm.\) The angular position of the second minima from the central maximum will (in radians) :

A plane polarized light is incident on a polariser with its pass axis aking angle \(\theta\) with x-axis, as shown in the figure. At four different values of \(\theta ,\,\theta\) = 8o, 38o, 188o and 218o, the observed intensities are sam...

Unpolarized light of intensity I passes through an ideal polarizer A. Another identical polarizer B is placed
behind A. The intensity of light beyond B is found to be I/2. Now another identical polarizer C is placed between A and B. The int...

The angular width of the central maximum in a single slit diffraction pattern is 60°. The width of the slit is
1 \(\mu\)m. The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it,
Young’s fringes...

A single slit of width 0.1 mm is illuminated by a parallel beam of light of wavelength 6000 \(\mathop A\limits^ \circ\) and diffraction bands are observed on a screen 0.5 m from the slit. The distance of the third dark band from the centr...

A single slit of width b is illuminated by a coherent monochromatic light of wavelength \(\lambda\). If the second and fourthminima in the diffraction pattern at a distance 1 m from the slit are at 3 cm and 6 cm respectively from the cent...

In a Young’s double slit experiment, slits are separated by 0.5 mm, and the screen is placed 150 cm away.
A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes
on the screen. The least dist...

In Young’s double slit experiment, the distance between slits and the screen is
1.0 m and monochromatic light of 600 nm is being used. A person standing near the slits is looking at the fringe pattern. When the separation between the slits ...

Two stars are 10 light years away from the earth. They are seen through a telescope of objective diameter 30 cm. The wavelength of light is 600 nm. To see the stars just resolved by the telescope, the minimum distance between them should be...

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 camer...

On a hot summer night, the refractive index of air is smallest near the ground and increases with height from the ground. When a light beam is directed horizontally, the Huygens' principle leads us to conclude that as it travels, the ligh...

Assuming human pupil to have a radius of \(0.25\) \(cm\) and a comfortable viewing distance of \(25\) \(cm\), the minimum separation between two objects that human eye can resolve at \(500\) \(nm\) wavelength is :

In a Young's double slit experiment, the distance between the two identical slits is 6.1 times larger than the slit width. Then the number of intensity maxima observed within the central maximum of the single slit diffraction pattern is :

The diameter of the objective lens of microscope makes an angle \(\beta\) at the focus of the microscope. Further, the medium between the object and the lens is an oil of refractive index n. Then the resolving power of the microscope.

Two beams, \(A\) and \(B\), of plane polarized light with mutually perpendicular planes of polarization are seen through a polaroid. From the position when the beam \(A\) has maximum intensity (and beam \(B\) has zero intensity), a rotatio...

A beam of unpolarised light of intensity \({{\rm I}_0}\) is passed through a polaroid \(A\) and then through another polaroid \(B\) which is oriented so that its principal plane makes an angle of \({45^ \circ }\) relative to that of \(A\). ...

Two coherent point sources \({S_1}\) and \({S_2}\) are separated by a small distance \('d'\) as shown. The fringes obtained on the screen will be

In Young's double slit experiment , one of the slit is wider than other, so that amplitude of the light from one slit is double of that from other slit. If \({{\rm I}_m}\) be the maximum intensity, the resultant intensity \({\rm I}\) when t...

This 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 c...

An initially parallel cylindrical beam travels in a medium of refractive index \(\mu \left( I \right) = {\mu _0} + {\mu _2}\,I,\) where \({\mu _0}\) and \({\mu _2}\) are positive constants and \(I\) is the intensity of the light beam. The i...

A mixture of light, consisting of wavelength \(590\) \(nm\) and an unknown wavelength, illuminates Young's double slit and gives rise to two overlapping interference patterns on the screen. The central maximum of both lights coincide. Furth...

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

A Young's double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen is

When an unpolarized light of intensity \({{I_0}}\) is incident on a polarizing sheet, the intensity of the light which does not get transmitted is

If \({I_0}\) is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?

Two point white dots are \(1\) \(mm\) apart on a black paper. They are viewed by eye of pupil diameter \(3\) \(mm.\) Approximately, what is the maximum distance at which these dots can be resolved by the eye? [ Take wavelength of light $$=5...

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment, is :

The angle of incidence at which reflected light is totally polarized for reflection from air to glass (refractive index \(n\)) is :

To demonstrate the phenomenon of interference, we require two sources which emit radiation