JEE Questions for Physics Wave Optics Quiz 12 - MCQExams.com

A beam of light consisting of two wavelengths 650 nm and 520 nm is used to illuminate the slit of a Young\'s double slit experiment. Then the order of the bright fringe of the longer wavelength that coincide with a bright fringe of the shorter wavelength at the least distance from the cetnral maximum is
  • 1
  • 2
  • 3
  • 4
Two identical radiators have a separation of d = λ/4 where λ is the wavelength of te waves emitted by either source. The initial phase difference between the source is π/4. Then the intensity on the screen at a distant point situated at an angle θ = 30° from the radiators is (here I0 is intensity at that due to one radiator alone)
  • I0
  • 2I0
  • 3I0
  • 4I0
In Young\'s double slit experiment, the 8th maximum with wavelength λ1 is at a distance d1 from the central maximum and the 6th maximum with a wavelength λ2 is at a distance d2. Then (d1/ λ2) is equal to

  • Physics-Wave Optics-95863.png
  • 2)
    Physics-Wave Optics-95864.png

  • Physics-Wave Optics-95865.png

  • Physics-Wave Optics-95866.png
Light of wavelength 500 nm is used to form interference pattern in Young\'s double slit experiment. A uniform glass plate of refractive index 1.5 and thickness 0.1 mm is introduced in the path of one of the interfering beams. The number of fringes which will shift the cross wire due to this is
  • 100
  • 200
  • 300
  • 400
The two coherent sources of equal intensity produce maximum intensity of 100 unit at a point. If the intensity of one of the sources a is reduced by 36% by reducing its width then the intensity of light at the same point will be
  • 90
  • 89
  • 67
  • 81
The figure shows four pairs of polarising sheets, seen face-on. Each pair is mounted in the path of initially unpolarized light. The polarizing direction of each sheet (indicated by the dashed line) is referenced to either a horizontal x-axis or a vertical y axis. Rank the pair according to the fraction of the initial intensity that they pass, greatest first.
Physics-Wave Optics-95870.png
  • (i) > (ii) > (iii) > (iv)
  • (i) > (iv) > (ii) > (iii)
  • (i) > (iii) > (ii) > (iv)
  • (iv) > (iii) > (ii) > (i)
In a Young\'s double slit experiment, I0 is the intensity at the central maximum and β is the fringe width. The intensity at a point P distant x from the centre will be

  • Physics-Wave Optics-95872.png
  • 2)
    Physics-Wave Optics-95873.png

  • Physics-Wave Optics-95874.png

  • Physics-Wave Optics-95875.png
In a Fresnel\'s diffraction arrangement, the screen is at a distance of 2 metre from a circular aperture. It is found that for light of wavelengths λ1 and λ2 the radius of 4th zone for λ1 coincides with the radius of 5th zone for λ2. Then the ratio λ1 : λ2 is

  • Physics-Wave Optics-95877.png
  • 2)
    Physics-Wave Optics-95878.png

  • Physics-Wave Optics-95879.png

  • Physics-Wave Optics-95880.png
If n represents the order of a half period zone, the area of this zone is approximately proportional to nm where m is equal to
  • Zero
  • Half
  • One
  • Two
A screen is placed 50 cm from a single slit, which is illuminated with 6000 Å light. If distance between the first and third minima in the diffraction pattern is 3 mm, the width of the slit is
  • 0.1 mm
  • 0.2 mm
  • 0.3 mm
  • 0.4 mm
The figure here gives the electric field of an EM wave at a certain point and a certain instant. The wave is transporting energy in the negative z direction. What is the direction of the magnetic field of the wave at the point and instant
Physics-Wave Optics-95885.png
  • Towards + X direction
  • Towards – X direction
  • Towards + Z direction
  • Towards – Z direction
A parallel plate capacitor with plate area A and separation between the plates d, is charged by a constant current i, consider a plane surface of area A/2 parallel to the plates, and drawn symmetrically between the plates, the displacement current through this area, will be

  • Physics-Wave Optics-95887.png
  • 2)
    Physics-Wave Optics-95888.png

  • Physics-Wave Optics-95889.png
  • None of these
In the Young's double slit experiment using a monochromatic light of wavelength λ, the path difference (in terms of an integer n) corresponding to any point having half the peak intensity is

  • Physics-Wave Optics-95891.png
  • 2)
    Physics-Wave Optics-95892.png

  • Physics-Wave Optics-95893.png

  • Physics-Wave Optics-95894.png
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 Im be the maximum intensity, the resultant intensity I, when they interfere at phase difference ϕ), is given by

  • Physics-Wave Optics-95895.png
  • 2)
    Physics-Wave Optics-95896.png

  • Physics-Wave Optics-95897.png

  • Physics-Wave Optics-95898.png
Critical angle for certain medium is sin -1 (0.6). The polarising angle of that medium is

  • Physics-Wave Optics-95899.png
  • 2)
    Physics-Wave Optics-95900.png

  • Physics-Wave Optics-95901.png

  • Physics-Wave Optics-95902.png
In a Young's double slit experiment (slit distance d) monochromatic light of wavelength λ, is used and the fringe pattern observed at a distance L from the slits. The angular position of the bright fringes are

  • Physics-Wave Optics-95903.png
  • 2)
    Physics-Wave Optics-95904.png

  • Physics-Wave Optics-95905.png

  • Physics-Wave Optics-95906.png

Physics-Wave Optics-95907.png
  • 3 and 4
  • 1 and 2
  • 2 and 3
  • 1 and 4
Two light rays having the same wavelength λ in vacuum are in phase initially. Then, the first ray travels a path L1 through a medium of refractive index n1 while the second ray travels a path of length L2 through a medium of refractive index n2. The two waves are then combined to produce interference. The phase difference between the two waves is

  • Physics-Wave Optics-95908.png
  • 2)
    Physics-Wave Optics-95909.png

  • Physics-Wave Optics-95910.png

  • Physics-Wave Optics-95911.png
Using the expression 2d sin θ = λ, one calculates the value of d by measuring the corresponding angles θ in the range 0 to 90°. The wavelength λ is exactly known and the error in θ is constant for all values of θ. As, increases from 0°
  • the absolute error in d remains constant
  • the absolute error in d increases
  • the fractional error in d remains constant
  • the fractional error in d decreases
The condition for diffraction of mth order minima is

  • Physics-Wave Optics-95913.png
  • 2)
    Physics-Wave Optics-95914.png

  • Physics-Wave Optics-95915.png

  • Physics-Wave Optics-95916.png

Physics-Wave Optics-95917.png
  • 2000 V
  • 50 V
  • 500 V
  • 1000 V

Physics-Wave Optics-95919.png

  • Physics-Wave Optics-95920.png
  • 2)
    Physics-Wave Optics-95921.png

  • Physics-Wave Optics-95922.png

  • Physics-Wave Optics-95923.png
Wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by diffracting electrons from crystals. The law governing the diffraction from a crystal is obtained by requiring that electron waves reflected from the planes of atoms in a crystal interfere constructively (see figure).
Physics-Wave Optics-95924.png

  • Physics-Wave Optics-95925.png
  • 2)
    Physics-Wave Optics-95926.png

  • Physics-Wave Optics-95927.png

  • Physics-Wave Optics-95928.png
In Fraunhofer diffraction experiment, L is the distance between screen and the obstacle, b is the size of obstacle and λ is wavelength of incident light. The general condition for the applicability of raunhofer diffraction is

  • Physics-Wave Optics-95929.png
  • 2)
    Physics-Wave Optics-95930.png

  • Physics-Wave Optics-95931.png

  • Physics-Wave Optics-95932.png
Following diffraction pattern was obtained using a diffraction grating using two different wavelengths λ1 and λ2. With the help of the figure identify which is the longer wavelength and their ratios?
Physics-Wave Optics-95933.png
  • λ2 is longer than λ1 and the ratio of the longer to the shorter wavelength is 1.5
  • λ1 is longer than λ2 and the ratio of the longer to the shorter wavelength is 1.5
  • λ1 and λ2 are equal and their ratio is 1.0
  • λ2 is longer than λ1 and the ratio of the longer to the shorter wavelength is 2.5
In a Fraunhofer diffraction experiment at a single slit using a light of wavelength 400 nm, the first minimum is formed at an angle of 30°. The directipn θ of the first secondary maximum is given by

  • Physics-Wave Optics-95934.png
  • 2)
    Physics-Wave Optics-95935.png

  • Physics-Wave Optics-95936.png

  • Physics-Wave Optics-95937.png

Physics-Wave Optics-95938.png

  • Physics-Wave Optics-95939.png
  • 2)
    Physics-Wave Optics-95940.png

  • Physics-Wave Optics-95941.png

  • Physics-Wave Optics-95942.png
A beam of natural light falls on a system of 5 polaroids, which are arranged in succession such that the pass axis of each polaroid is turned through 60° with respect to the preceding one. The fraction of the incident light intensity that passes through the system is

  • Physics-Wave Optics-95944.png
  • 2)
    Physics-Wave Optics-95945.png

  • Physics-Wave Optics-95946.png

  • Physics-Wave Optics-95947.png

  • Physics-Wave Optics-95948.png
When the angle of incidence on a material is 60°, the reflected light is completely polarised. The velocity of the refracted ray inside the material is (in ms -1)
  • 3 × 108
  • 2)
    Physics-Wave Optics-95949.png

  • Physics-Wave Optics-95950.png
  • 0.5 × 108
Brewster's angle in terms of refractive index (n) of the medium

  • Physics-Wave Optics-95952.png
  • 2)
    Physics-Wave Optics-95953.png

  • Physics-Wave Optics-95954.png

  • Physics-Wave Optics-95955.png
Two polaroids are placed in the path of unpolarised beam of intensity /0 such that no light is emitted from the second polaroid. If a third polaroid whose polarisation axis makes an angle 0 with the polarisation axis of first polaroid, is placed between these polaroids, then the intensity of light emerging from the last polaroid will be

  • Physics-Wave Optics-95956.png
  • 2)
    Physics-Wave Optics-95957.png

  • Physics-Wave Optics-95958.png

  • Physics-Wave Optics-95959.png
In Young’s double slit experiment, bi – chromatic light of wavelengths 400 nm and 560 nm are used. The distance between the slits is 0.1 mm and the distance between the plane of the slits and the screen is 1 m. The minimum distance between two successive.region of complete darkness is
  • 4 mm
  • 5.6 mm
  • 14 mm
  • 28 mm
0:0:1


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