Chemistry Exam > Chemistry Questions > Four identical fermion particles are to be di...
Start Learning for Free
Four identical fermion particles are to be distributed in two energy levels E1 and E2. Energy E1 is 5-fold degenerate and E2 is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements is
- a)E2
- b)E1 + 3E2
- c)2(E1 + E2)
- d)3(E1) + E2
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Four identical fermion particles are to be distributed in two energy l...
Most Upvoted Answer
Four identical fermion particles are to be distributed in two energy l...
Solution:
Given: Four identical fermion particles, two energy levels E1 and E2; E1 is 5-fold degenerate and E2 is 6-fold degenerate.
To find: The energy corresponding to the distribution having the maximum number of arrangements.
Arrangement of 4 identical fermion particles in two energy levels:
- E1E1E1E1
- E1E1E1E2
- E1E1E2E2
- E1E2E2E2
- E2E2E2E2
Calculation of the number of arrangements:
- For the first arrangement, all particles are in the E1 energy level. The number of arrangements for this is 1.
- For the second arrangement, 3 particles are in the E1 energy level and 1 particle is in the E2 energy level. The number of arrangements for this is 4C1 = 4.
- For the third arrangement, 2 particles are in the E1 energy level and 2 particles are in the E2 energy level. The number of arrangements for this is 4C2 = 6.
- For the fourth arrangement, 1 particle is in the E1 energy level and 3 particles are in the E2 energy level. The number of arrangements for this is 4C1 = 4.
- For the fifth arrangement, all particles are in the E2 energy level. The number of arrangements for this is 1.
Total number of arrangements = 1 + 4 + 6 + 4 + 1 = 16
Calculation of the energy corresponding to the distribution having the maximum number of arrangements:
- For the third arrangement, 2 particles are in the E1 energy level and 2 particles are in the E2 energy level. The energy corresponding to this distribution is 2(E1 + E2).
- For the first arrangement, all particles are in the E1 energy level. The energy corresponding to this distribution is E1.
- For the second arrangement, 3 particles are in the E1 energy level and 1 particle is in the E2 energy level. The energy corresponding to this distribution is 3E1 + E2.
- For the fourth arrangement, 1 particle is in the E1 energy level and 3 particles are in the E2 energy level. The energy corresponding to this distribution is E1 + 3E2.
- For the fifth arrangement, all particles are in the E2 energy level. The energy corresponding to this distribution is E2.
Therefore, the energy corresponding to the distribution having the maximum number of arrangements is 2(E1 + E2) (corresponding to the third arrangement).
Given: Four identical fermion particles, two energy levels E1 and E2; E1 is 5-fold degenerate and E2 is 6-fold degenerate.
To find: The energy corresponding to the distribution having the maximum number of arrangements.
Arrangement of 4 identical fermion particles in two energy levels:
- E1E1E1E1
- E1E1E1E2
- E1E1E2E2
- E1E2E2E2
- E2E2E2E2
Calculation of the number of arrangements:
- For the first arrangement, all particles are in the E1 energy level. The number of arrangements for this is 1.
- For the second arrangement, 3 particles are in the E1 energy level and 1 particle is in the E2 energy level. The number of arrangements for this is 4C1 = 4.
- For the third arrangement, 2 particles are in the E1 energy level and 2 particles are in the E2 energy level. The number of arrangements for this is 4C2 = 6.
- For the fourth arrangement, 1 particle is in the E1 energy level and 3 particles are in the E2 energy level. The number of arrangements for this is 4C1 = 4.
- For the fifth arrangement, all particles are in the E2 energy level. The number of arrangements for this is 1.
Total number of arrangements = 1 + 4 + 6 + 4 + 1 = 16
Calculation of the energy corresponding to the distribution having the maximum number of arrangements:
- For the third arrangement, 2 particles are in the E1 energy level and 2 particles are in the E2 energy level. The energy corresponding to this distribution is 2(E1 + E2).
- For the first arrangement, all particles are in the E1 energy level. The energy corresponding to this distribution is E1.
- For the second arrangement, 3 particles are in the E1 energy level and 1 particle is in the E2 energy level. The energy corresponding to this distribution is 3E1 + E2.
- For the fourth arrangement, 1 particle is in the E1 energy level and 3 particles are in the E2 energy level. The energy corresponding to this distribution is E1 + 3E2.
- For the fifth arrangement, all particles are in the E2 energy level. The energy corresponding to this distribution is E2.
Therefore, the energy corresponding to the distribution having the maximum number of arrangements is 2(E1 + E2) (corresponding to the third arrangement).
|
Explore Courses for Chemistry exam
|
|
Similar Chemistry Doubts
Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer?
Question Description
Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer?.
Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer?.
Solutions for Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Chemistry.
Download more important topics, notes, lectures and mock test series for Chemistry Exam by signing up for free.
Here you can find the meaning of Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Four identical fermion particles are to be distributed in two energy levels E1and E2. Energy E1is 5-fold degenerate and E2is 6-fold degenerate. The energy corresponding to the distribution having maximum number of arrangements isa)E2b)E1 + 3E2c)2(E1 + E2)d)3(E1) + E2Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Chemistry tests.
|
|
Explore Courses for Chemistry 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