GATE Exam > GATE Questions > An ideal bose gas in 5-dimensions has the ene...
Start Learning for Free
An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?
- a)S > 5
- b)0 < S < 5
- c)0 < S < 3
- d)1 < S < 5
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
An ideal bose gas in 5-dimensions has the energy dispersion relation &...
For Bose-Einstein condensation o f an ideal bose gas is d-dimensions with dispersion relation 
(S > 0 because increasing momentum should not decrease energy), we have
(S > 0 because increasing momentum should not decrease energy), we haveMost Upvoted Answer
An ideal bose gas in 5-dimensions has the energy dispersion relation &...
The energy dispersion relation for an ideal Bose gas in 5-dimensions can be written as:
E(p) = (h^2 / 2m) (p_1^2 + p_2^2 + p_3^2 + p_4^2 + p_5^2)
where E(p) is the energy of a particle with momentum p = (p_1, p_2, p_3, p_4, p_5), h is Planck's constant, and m is the mass of the particle. This relation describes the energy of a particle in terms of its momentum components along each of the five dimensions. The Bose gas is a system of particles that obey Bose-Einstein statistics, which allows for the formation of a Bose-Einstein condensate at low temperatures. The energy dispersion relation is a fundamental property of the system that determines the behavior of the particles and their interactions.
E(p) = (h^2 / 2m) (p_1^2 + p_2^2 + p_3^2 + p_4^2 + p_5^2)
where E(p) is the energy of a particle with momentum p = (p_1, p_2, p_3, p_4, p_5), h is Planck's constant, and m is the mass of the particle. This relation describes the energy of a particle in terms of its momentum components along each of the five dimensions. The Bose gas is a system of particles that obey Bose-Einstein statistics, which allows for the formation of a Bose-Einstein condensate at low temperatures. The energy dispersion relation is a fundamental property of the system that determines the behavior of the particles and their interactions.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct answer is option 'B'. Can you explain this answer?
Question Description
An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct 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 An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct 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 An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct answer is option 'B'. Can you explain this answer?.
An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct 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 An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct 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 An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct answer is option 'B'. Can you explain this answer?.
Solutions for An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct 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 An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct answer is option 'B'. Can you explain this answer?, a detailed solution for An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An ideal bose gas in 5-dimensions has the energy dispersion relation ∈ = Aps. For the Bose gas to undergo Bose-Einstein condensation, which of the following should hold?a)S > 5b)0 < S < 5c)0 < S < 3d)1 < S < 5Correct 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