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Obtain the relation between phase difference and path difference. - Physics

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प्रश्न

Obtain the relation between phase difference and path difference.

टीपा लिहा

उत्तर

  1. Phase difference (Φ):
    It is the difference expressed in degrees or radians between two waves having same frequency and referenced to same point in time.
  2. Path difference (δ):
    It is the difference between the lengths of two paths of the two different having same frequency and travelling at same velocity. 
    δ = `lambda/(2pi) Φ`
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पाठ 7: Wave Optics - Evaluation [पृष्ठ १०३]

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सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 7 Wave Optics
Evaluation | Q 10. | पृष्ठ १०३

संबंधित प्रश्‍न

Write the important characteristic features by which the interference can be distinguished from the observed diffraction pattern.


Write the necessary conditions to obtain sustained interference fringes.


Four light waves are represented by

(i) \[y =  a_1   \sin  \omega t\]

(ii) \[y =  a_2   \sin  \left( \omega t + \epsilon \right)\]

(iii) \[y =  a_1   \sin  2\omega t\]

(iv) \[y =  a_2   \sin  2\left( \omega t + \epsilon \right).\]

Interference fringes may be observed due to superposition of

(a) (i) and (ii)

(b) (i) and (iii)

(c) (ii) and (iv)

(d) (iii) and (iv)


The intensity at the central maximum (O) in a Young’s double slit experimental set-up shown in the figure is IO. If the distance OP equals one-third of the fringe width of the pattern, show that the intensity at point P, would equal `(I_0)/4`.


What are the two methods for obtaining coherent sources in the laboratory?


Describe geometry of the Young’s double slit experiment with the help of a ray diagram. What is fringe width? Obtain an expression of it. Write the conditions for constructive as well as destructive interference. 


In Young's double-slit experiment, if the width of the 2nd bright fringe is 4 x 10-2 cm, then the width of the 4th bright fringe will be ______ cm.


On a rainy day, a small oil film on water shows brilliant colours. This is due to ____________.


The distance between the first and ninth bright fringes formed in a biprism experiment is ______.

(`lambda` = 6000 A, D = 1.0 m, d = 1.2 mm)


In Young's experiment for the interference of light, the separation between the silts is d and the distance of the screen from the slits is D. If D is increased by 0.6% and d is decreased by 0.2%, then for the light of a given wavelength, which one of the following is true?

"The fringe width  ____________."


In Young's double slit experiment fifth dark fringe is formed opposite to one of the slits. If D is the distance between the slits and the screen and d is the separation between the slits, then the wavelength of light used is ______.


If two waves represented by `"y"_1 = 3  "sin" omega "t"` and `"y"_2 = 5  "sin" (omega "t" + pi/3)` interfere at a point, then the amplitude of the resulting wave will be about ____________.


`phi  "and"  phi_2  (phi_1 > phi_2)` are the work functions of metals A and B. When light of same wavelength is incident on A and B, the fastest emitted electrons from A are ____________ those emitted from B.


In a biprism experiment, the slit separation is 1 mm. Using monochromatic light of wavelength 5000 Å, an interference pattern is obtained on the screen. Where should the screen be moved? so that the change in fringe width is 12.5 x 105 m? 


The graph shows the variation of fringe width (β) versus distance of the screen from the plane of the slits (D) in Young's double-slit experiment Keeping other parameters the same. The wavelength of light used can be calculated as d = distance between the slits ______ 

 


Young's double slit experiment is performed in water, instead of air, then fringe width ______.


A beam of electrons is used in Young's double-slit experiment. If the speed of electrons is increased then the fringe width will ______.


The path difference between two interference light waves meeting at a point on the screen is `(87/2)lambda`. The band obtained at that point is ______.


A ray of light AO in vacuum is incident on a glass slab at angle 60° and refracted at angle 30° along OB as shown in the figure. The optical path length of light ray from A to B is ______.


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