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Select the correct statement(s):...

Select the correct statement(s):

A

Radial function [R(r)] a part of wave function is dependent on quantum number n only

B

Angular function depends only on the direction and is independent to the distance from the nucleus

C

`Psi^(2)` (r,`theta,Phi`) is the probability density of finding the electron at a particular point in space

D

Radial distribution function `(4pi^2R^2)` gives the probability of the electron being present at a distance r from the nucleus

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AI Generated Solution

The correct Answer is:
To solve the question, we need to evaluate each of the statements provided and determine their correctness based on our understanding of quantum mechanics and the properties of wave functions. ### Step-by-Step Solution: 1. **Evaluate the First Statement:** - **Statement:** "Radial function is a part of wave function and is dependent on quantum number n only." - **Analysis:** The radial function is indeed a part of the wave function, but it is not dependent solely on the principal quantum number (n). It also depends on the azimuthal quantum number (l). Therefore, this statement is **false**. 2. **Evaluate the Second Statement:** - **Statement:** "Angular function depends only on direction and is independent of the distance from the nucleus." - **Analysis:** The angular function describes the angular part of the wave function and is indeed dependent on the direction, not on the distance from the nucleus. Thus, this statement is **true**. 3. **Evaluate the Third Statement:** - **Statement:** "Radial distribution function 4πr² gives the probability of the electron being present at a distance r from the nucleus." - **Analysis:** The radial distribution function, expressed as 4πr², does represent the probability density of finding an electron at a distance r from the nucleus. Therefore, this statement is **true**. 4. **Summarize the Findings:** - From the evaluations: - First statement: **False** - Second statement: **True** - Third statement: **True** - Thus, the correct statements are the second and third ones. ### Final Answer: The correct statements are **2 and 3**.

To solve the question, we need to evaluate each of the statements provided and determine their correctness based on our understanding of quantum mechanics and the properties of wave functions. ### Step-by-Step Solution: 1. **Evaluate the First Statement:** - **Statement:** "Radial function is a part of wave function and is dependent on quantum number n only." - **Analysis:** The radial function is indeed a part of the wave function, but it is not dependent solely on the principal quantum number (n). It also depends on the azimuthal quantum number (l). Therefore, this statement is **false**. ...
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