मराठी

"If the slits in Young's double slit experiment are identical, then intensity at any point on the screen may vary between zero and four

Advertisements
Advertisements

प्रश्न

"If the slits in Young's double slit experiment are identical, then intensity at any point on the screen may vary between zero and four times to the intensity due to single slit".

Justify the above statement through a relevant mathematical expression.

थोडक्यात उत्तर
Advertisements

उत्तर

The total intensity at a point where the phase difference is ∅, is given by `"I" = "I"_1 + "I"_2 + 2sqrt("I"_1"I"_2)  "COS"∅`.

Here I1 and I2 are the intensities of two individual sources which are equal.

When ∅ is 0, I = 4I1

When ∅ is 90°, I = 0

Thus intensity on the screen varies between 4I2 and 0.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2021-2022 (March) Term 2 Sample

संबंधित प्रश्‍न

The intensity at the central maxima in Young’s double slit experiment is I0. Find out the intensity at a point where the path difference is` lambda/6,lambda/4 and lambda/3.`


Show that the fringe pattern on the screen is actually a superposition of slit diffraction from each slit.


What is the effect on the fringe width if the distance between the slits is reduced keeping other parameters same?


In Young’s double slit experiment using monochromatic light of wavelength λ, the intensity of light at a point on the screen where path difference is λ, is K units. Find out the intensity of light at a point where path difference is λ/3.


In Young’s experiment interference bands were produced on a screen placed at 150 cm from two slits, 0.15 mm apart and illuminated by the light of wavelength 6500 Å. Calculate the fringe width.


Find the angular separation between the consecutive bright fringes in a Young's double slit experiment with blue-green light of wavelength 500 nm. The separation between the slits is \[2 \cdot 0 \times  {10}^{- 3}m.\]


White light is used in a Young's double slit experiment. Find the minimum order of the violet fringe \[\left( \lambda = 400\text{ nm} \right)\] which overlaps with a red fringe \[\left( \lambda = 700\text{ nm} \right).\]


Two transparent slabs having equal thickness but different refractive indices µ1 and µ2are pasted side by side to form a composite slab. This slab is placed just after the double slit in a Young's experiment so that the light from one slit goes through one material and the light from the other slit goes through the other material. What should be the minimum thickness of the slab so that there is a minimum at the point P0 which is equidistant from the slits?


In a Young’s double slit experiment, the path difference at a certain point on the screen between two interfering waves is `1/8`th of the wavelength. The ratio of intensity at this point to that at the centre of a bright fringe is close to ______.


In Young’s double slit experiment, how is interference pattern affected when the following changes are made:

  1. Slits are brought closer to each other.
  2. Screen is moved away from the slits.
  3. Red coloured light is replaced with blue coloured light.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×