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Obtain the relation between phase difference and path difference.

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प्रश्न

Obtain the relation between phase difference and path difference.

टीपा लिहा
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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]

APPEARS IN

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

संबंधित प्रश्‍न

Answer the following question.
Describe any two characteristic features which distinguish between interference and diffraction phenomena. Derive the expression for the intensity at a point of the interference pattern in Young's double-slit experiment.


What is meant by coherent sources?


What are the conditions for obtaining a good interference pattern? Give reasons.


Why two light sources must be of equal intensity to obtain a well-defined interference pattern?


Draw a neat labelled ray diagram of the Fresnel Biprism experiment showing the region of interference. 


What is intensity (or) amplitude division?


In Young’s double slit experiment, the slits are 2 mm apart and are illuminated with a mixture of two wavelength λ0 = 750 nm and λ = 900 nm. What is the minimum distance from the common central bright fringe on a screen 2 m from the slits where a bright fringe from one interference pattern coincides with a bright fringe from the other?


In Young's double slit experiment, the two slits act as coherent sources of equal amplitude A and wavelength `lambda`. In another experiment with the same set up the two slits are of equal amplitude A and wavelength `lambda`. but are incoherent. The ratio of the intensity of light at the mid-point of the screen in the first case to that in the second case is ____________.


If the two slits in Young's double slit experiment have width ratio 9 : 1, the ratio of maximum to minimum intensity in the interference pattern is ______.


Two identical light sources s1 and s2 emit light of same wavelength `lambda`. These light rays will exhibit interference if their ______.


In biprism experiment, if the 5th bright band with wavelength 'λ1' coincides with the 6th dark band with wavelength 'λ2' then the ratio `(lambda_2/lambda_1)` is ______ 


In Young's double slit experiment, for wavelength λ1 the nth bright fringe is obtained at a point P on the screen. Keeping the same setting, source of light is replaced by wavelength λ2 and now (n + 1)th bright fringe is obtained at the same point P on the screen. The value of n is ______.


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


Two coherent sources P and Q produce interference at point A on the screen where there is a dark band which is formed between 4th bright band and 5th bright band. Wavelength of light used is 6000 Å. The path difference between PA and QA is ______.


In a double-slit experiment, the optical path difference between the waves coming from two coherent sources at a point P on one side of the central bright is 7.5 µm and that at a point Q on the other side of the central bright fringe and 1.8 µm. How many bright and dark fringes are observed between points P and Q if the wavelength of light used is 600 nm?


Describe Young's double-slit interference experiment.


With a neat labelled ray diagram explain the use of Fresnel's biprism to obtain two coherent sources.


In biprism experiment, the distance of 20th bright band from the central bright band is 1.2 cm. Without changing the experimental set-up, the distance of 30th bright band from the central bright band will be ______.


In biprism experiment the maximum intensity is ‘I0’. If the path difference between the two interfering waves is ‘λ/4’ then intensity at the point on the screen is ______.

`[sin 45^circ = cos 45^circ = 1/sqrt 2]`


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