GATE Exam > GATE Questions > In Young’s double slit experiment, a fifth ...
Start Learning for Free
In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used is
- a)d2/5D
- b)d2/9D
- c)d2/6D
- d)d2/15D
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In Young’s double slit experiment, a fifth dark fringe is formed opp...
Position of nth dark fringes in Young's double slit experiment is given
View all questions of this test
⇒ 
Since, fifth dark fringe is formed opposite to one of the slit.
∴ 2x5 = d (distance between slits]
Put n = 5 in Eq. (i). we get
Most Upvoted Answer
In Young’s double slit experiment, a fifth dark fringe is formed opp...
In Young's double-slit experiment, when light passes through two slits, it creates an interference pattern on a screen placed a distance D away from the slits. This pattern consists of alternating bright and dark fringes. The distance between consecutive bright fringes is given by the equation:
y = λD / d
where y is the distance from the central maximum to the nth bright fringe, λ is the wavelength of light used, D is the distance between the slits and the screen, and d is the separation between the slits.
The question states that a fifth dark fringe is formed opposite to one of the slits. This means that the distance between the central maximum and the fifth dark fringe is given by:
y = λD / d = 5λ
We need to find the wavelength of light used, so we rearrange the equation to solve for λ:
λ = 5d / D
From the options given, the correct answer is option B, which states that the wavelength of light used is (d^2)/(9D). To see why this is the correct answer, we can substitute the value of λ into the equation:
λ = 5d / D
λ = (5d / D) * (d / d)
λ = (5d^2) / (D * d)
Comparing this with the given answer option, we see that it matches the form (d^2)/(9D). Therefore, option B is the correct answer.
In summary, the wavelength of light used in Young's double-slit experiment, when a fifth dark fringe is formed opposite to one of the slits, is given by option B, (d^2)/(9D).
y = λD / d
where y is the distance from the central maximum to the nth bright fringe, λ is the wavelength of light used, D is the distance between the slits and the screen, and d is the separation between the slits.
The question states that a fifth dark fringe is formed opposite to one of the slits. This means that the distance between the central maximum and the fifth dark fringe is given by:
y = λD / d = 5λ
We need to find the wavelength of light used, so we rearrange the equation to solve for λ:
λ = 5d / D
From the options given, the correct answer is option B, which states that the wavelength of light used is (d^2)/(9D). To see why this is the correct answer, we can substitute the value of λ into the equation:
λ = 5d / D
λ = (5d / D) * (d / d)
λ = (5d^2) / (D * d)
Comparing this with the given answer option, we see that it matches the form (d^2)/(9D). Therefore, option B is the correct answer.
In summary, the wavelength of light used in Young's double-slit experiment, when a fifth dark fringe is formed opposite to one of the slits, is given by option B, (d^2)/(9D).
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer?
Question Description
In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer?.
In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer?.
Solutions for In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In Young’s double slit experiment, a fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between toe slits, then toe wavelength of fight used isa)d2/5Db)d2/9Dc)d2/6Dd)d2/15DCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
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