NEET Exam > NEET Questions > The ratio of the intensity at the centre of a...
Start Learning for Free
The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16?
Most Upvoted Answer
The ratio of the intensity at the centre of a bright fringe to the int...
Community Answer
The ratio of the intensity at the centre of a bright fringe to the int...
Explanation:
When monochromatic light passes through a single slit, the diffracted light produces a central bright fringe and a series of alternate dark and bright fringes on either side of the central fringe. The intensity of the light at different points on the screen is given by the equation:
I = I₀ (sinθ/θ)²
Where I₀ is the maximum intensity at the centre of the bright fringe and θ is the angle between the incident beam and the diffracted beam.
Intensity at the centre of the bright fringe:
At the centre of the bright fringe, the angle θ is zero. Therefore, the intensity at the centre of the bright fringe is given by:
I(center) = I₀ (sin 0/0)² = I₀
Intensity at a point one quarter of the distance between two successive same fringe from the centre:
Let d be the distance between two successive same fringes on the screen. Then the distance between the centre and the point one quarter of the distance between two successive same fringe from the centre is d/4. At this point, the angle θ is given by:
sinθ = (d/4)/√((d/2)² + L²)
Where L is the distance between the slit and the screen.
Therefore, the intensity at this point is given by:
I(d/4) = I₀ (sinθ/θ)² = I₀ [(d/4)/√((d/2)² + L²)]²/[(d/4)/√((d/2)² + L²)]²
Simplifying the above equation, we get:
I(d/4) = I₀/4
Therefore, the ratio of the intensity at the centre of the bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is:
I(center)/I(d/4) = I₀/I₀/4 = 4
Therefore, the correct option is (c) 4.
When monochromatic light passes through a single slit, the diffracted light produces a central bright fringe and a series of alternate dark and bright fringes on either side of the central fringe. The intensity of the light at different points on the screen is given by the equation:
I = I₀ (sinθ/θ)²
Where I₀ is the maximum intensity at the centre of the bright fringe and θ is the angle between the incident beam and the diffracted beam.
Intensity at the centre of the bright fringe:
At the centre of the bright fringe, the angle θ is zero. Therefore, the intensity at the centre of the bright fringe is given by:
I(center) = I₀ (sin 0/0)² = I₀
Intensity at a point one quarter of the distance between two successive same fringe from the centre:
Let d be the distance between two successive same fringes on the screen. Then the distance between the centre and the point one quarter of the distance between two successive same fringe from the centre is d/4. At this point, the angle θ is given by:
sinθ = (d/4)/√((d/2)² + L²)
Where L is the distance between the slit and the screen.
Therefore, the intensity at this point is given by:
I(d/4) = I₀ (sinθ/θ)² = I₀ [(d/4)/√((d/2)² + L²)]²/[(d/4)/√((d/2)² + L²)]²
Simplifying the above equation, we get:
I(d/4) = I₀/4
Therefore, the ratio of the intensity at the centre of the bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is:
I(center)/I(d/4) = I₀/I₀/4 = 4
Therefore, the correct option is (c) 4.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Top Courses for NEETView all
The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16?
Question Description
The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16?.
The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16?.
Solutions for The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16? defined & explained in the simplest way possible. Besides giving the explanation of
The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16?, a detailed solution for The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16? has been provided alongside types of The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16? theory, EduRev gives you an
ample number of questions to practice The ratio of the intensity at the centre of a bright fringe to the intensity at a point one quarter of the distance between two successive same fringe from the centre is?a)2 b)1/2 c)4 d)16? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup