Answer
351k+ views
Hint:-In order to this question, to calculate the path difference between two reflected beams at the spot, we will first explain the path difference and then go for the actual context of the question.
Complete step by step answer:
Firstly, we will explain the path difference, then only we will go to calculate the Path difference between two reflected beams at the spot. When waves from one source collide with waves from another, two-point source interference occurs. If the source of the waves is circular, the circular wavefronts will collide within the medium, forming a pattern.
The pattern is described by a set of nodes and antinodes that are connected by antinodal lines and nodal lines, which are nearly straight lines. There would be an antinodal line in the exact middle of the pattern and an alternating sequence of nodal and antinodal lines to the left and right of the central antinodal line if the wave sources have equal frequencies.
For the dark band, path difference is:
$x = (2N - 1)\dfrac{\lambda }{2}.......N = 1,2,......$
$\therefore x = \dfrac{\lambda }{2},\dfrac{{3\lambda }}{2},\dfrac{{5\lambda }}{2},.........$
Here, $x$ is the path difference.
Hence, the correct option is B.
Note:Now, we will explain here that why path difference has an importance, so in order to account for light interference and diffraction, the principle of path difference is critical. The direction difference of the photons, or pencils of rays, passing through the systems is used to calculate the distribution of luminous energy in optical systems.
Complete step by step answer:
Firstly, we will explain the path difference, then only we will go to calculate the Path difference between two reflected beams at the spot. When waves from one source collide with waves from another, two-point source interference occurs. If the source of the waves is circular, the circular wavefronts will collide within the medium, forming a pattern.
The pattern is described by a set of nodes and antinodes that are connected by antinodal lines and nodal lines, which are nearly straight lines. There would be an antinodal line in the exact middle of the pattern and an alternating sequence of nodal and antinodal lines to the left and right of the central antinodal line if the wave sources have equal frequencies.
For the dark band, path difference is:
$x = (2N - 1)\dfrac{\lambda }{2}.......N = 1,2,......$
$\therefore x = \dfrac{\lambda }{2},\dfrac{{3\lambda }}{2},\dfrac{{5\lambda }}{2},.........$
Here, $x$ is the path difference.
Hence, the correct option is B.
Note:Now, we will explain here that why path difference has an importance, so in order to account for light interference and diffraction, the principle of path difference is critical. The direction difference of the photons, or pencils of rays, passing through the systems is used to calculate the distribution of luminous energy in optical systems.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)