Chemistry Exam > Chemistry Questions > Which of the following is true for 2px, 2py a...
Start Learning for Free
Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?
- a)All are eigen functions of Lz
- b)2px and 2pz orbitals are eigen functions of Lz
- c)Only 2px orbital is an eigen function of Lz
- d)Only 2pz orbital is an eigen function of Lz
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Which of the following is true for 2px, 2py and 2pz orbitals of a H-at...
Explanation:
The 2px, 2py, and 2pz orbitals of a hydrogen atom are the three degenerate orbitals, which means that they have the same energy and are mathematically equivalent. However, they differ in their spatial orientation, which is determined by the values of the quantum numbers l and m.
The quantum number l specifies the angular momentum of an electron in an atom and determines the shape of the orbital. For l = 1, the shape of the orbital is dumbbell-shaped, and it has three possible orientations in space, designated as 2px, 2py, and 2pz, depending on the value of the quantum number m.
The quantum number m specifies the orientation of the orbital in space and can take on integer values ranging from -l to +l, including zero. For l = 1, the possible values of m are -1, 0, and +1, corresponding to the 2px, 2py, and 2pz orbitals, respectively.
The operator Lz represents the z-component of the angular momentum operator, which measures the angular momentum of an electron in the z-direction. The eigenfunctions of Lz are the wave functions that satisfy the equation Lzψ = mℏψ, where m is the eigenvalue of the operator Lz.
Therefore, the correct option is D) Only 2pz orbital is an eigenfunction of Lz, as its wave function has a non-zero value for m = +1, which is the eigenvalue of the operator Lz. The wave functions of 2px and 2py orbitals have a non-zero value for m = 0, which is not an eigenvalue of the operator Lz.
The 2px, 2py, and 2pz orbitals of a hydrogen atom are the three degenerate orbitals, which means that they have the same energy and are mathematically equivalent. However, they differ in their spatial orientation, which is determined by the values of the quantum numbers l and m.
The quantum number l specifies the angular momentum of an electron in an atom and determines the shape of the orbital. For l = 1, the shape of the orbital is dumbbell-shaped, and it has three possible orientations in space, designated as 2px, 2py, and 2pz, depending on the value of the quantum number m.
The quantum number m specifies the orientation of the orbital in space and can take on integer values ranging from -l to +l, including zero. For l = 1, the possible values of m are -1, 0, and +1, corresponding to the 2px, 2py, and 2pz orbitals, respectively.
The operator Lz represents the z-component of the angular momentum operator, which measures the angular momentum of an electron in the z-direction. The eigenfunctions of Lz are the wave functions that satisfy the equation Lzψ = mℏψ, where m is the eigenvalue of the operator Lz.
Therefore, the correct option is D) Only 2pz orbital is an eigenfunction of Lz, as its wave function has a non-zero value for m = +1, which is the eigenvalue of the operator Lz. The wave functions of 2px and 2py orbitals have a non-zero value for m = 0, which is not an eigenvalue of the operator Lz.
|
Explore Courses for Chemistry exam
|
|
Similar Chemistry Doubts
Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. Can you explain this answer?
Question Description
Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. 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 Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. Can you explain this answer?.
Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. 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 Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. 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 Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following is true for 2px, 2py and 2pz orbitals of a H-atom?a)All are eigen functions of Lzb)2px and 2pz orbitals are eigen functions of Lzc)Only 2px orbital is an eigen function of Lzd)Only 2pz orbital is an eigen function of LzCorrect answer is option 'D'. 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup