UGC NET Exam > UGC NET Questions > The operator for the square of the angular mo...
Start Learning for Free
The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.
A correct form of the angular function for the px orbital is
A correct form of the angular function for the px orbital is
- a)sin θ e2iϕ
- b)sin θ eiϕ
- c)cos θ eiϕ
- d)cos θ e2iϕ
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The operator for the square of the angular momentum for an electron in...
The overall wave function for the angular part of H atom will be as follows:
where, A and B are constant.
For px orbital l=1
1. when l=1, ml=0, then
as, in Y1,0 there is no ϕ part, it will correspond to the pz orbital.
2. when l=1, ml=+1, then
where, A and B are constant.
For px orbital l=1
1. when l=1, ml=0, then
as, in Y1,0 there is no ϕ part, it will correspond to the pz orbital.
2. when l=1, ml=+1, then
- Now, we can calculate the angular wavefunction for px and py orbital by taking linera combination of equation (2) and (3) as follows-
- Among the given four wavefunction, all the wavefunctions contain a imaginary part which can not be compare with equation (4) to find out the angular function for the px orbital.
- Comparing the wavefunction sin θ e2iϕ with equation (1), we got ml=2.
- Which is not possible for p orbital. (the possible value of ml for p orbiatl is -1, 0 and +1).
- Thus, sin θ e2iϕ is not the correct form of the angular function for the px orbital.
- Comapring the wavefunctions cos θ eiϕ and cos θ e2iϕ, with equation (2), we found that there is no presence of sinθs.
- Thus, cos θ eiϕ and cos θ e2iϕ are not the correct form of the angular function for the px orbital.
- Comparing the wavefunction sin θ eiϕ with equation (2), we found that it can be a correct form of the angular function for the px orbital for l=1 and ml=+1.
Hence, the correct form of the angular function for the px orbital is sin θ eiϕ
Attention UGC NET Students!
To make sure you are not studying endlessly, EduRev has designed UGC NET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UGC NET.
|
Explore Courses for UGC NET exam
|
|
Similar UGC NET Doubts
Top Courses for UGC NETView all
The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer?
Question Description
The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer?.
The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for UGC NET.
Download more important topics, notes, lectures and mock test series for UGC NET Exam by signing up for free.
Here you can find the meaning of The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The operator for the square of the angular momentum for an electron in a hydrogenic atom is given below.A correct form of the angular function for the pxorbital isa)sin θ e2ib)sin θ eic)cos θ eid)cos θ e2iCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice UGC NET tests.
|
|
Explore Courses for UGC NET 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup