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Choose the correct statements among the ...

Choose the correct statements among the following :

A

A node is a point in space where the wave-function `Psi` has zero amplitude

B

The number of maxima (peaks) in radial probability distribution function is (n-l)

C

Radial probability density is `4pir^(2)R_(n)"^(2),_(l)(r)`

D

`Psi^(2)` represents probability of finding electron

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze each of the statements provided and determine which ones are correct based on our understanding of atomic structure and wave functions. ### Step-by-Step Solution: 1. **Statement A: A node is a point in space where the wave function ψ has zero amplitude.** - A node refers to a point (or plane) in space where the wave function (ψ) is zero. This means that the probability of finding an electron at that point is also zero. Therefore, this statement is **correct**. 2. **Statement B: The number of maxima peaks in the radial probability distribution function is n - l.** - The radial probability distribution function is derived from the wave function and describes the likelihood of finding an electron at a certain distance from the nucleus. The formula for the number of maxima peaks in the radial probability distribution function is indeed n - l, where n is the principal quantum number and l is the azimuthal quantum number. This statement is also **correct**. 3. **Statement C: Radial probability density is 4πr²R².** - The radial probability density function is given by the expression 4πr²R², where R is the radial wave function. This represents the probability density of finding an electron at a distance r from the nucleus. Thus, this statement is **correct**. 4. **Statement D: ψ² represents the probability of finding the electron.** - The square of the wave function (ψ²) gives the probability density of finding an electron in a given region of space. Therefore, this statement is also **correct**. ### Conclusion: All four statements (A, B, C, and D) are correct. ### Final Answer: - **Correct Statements:** A, B, C, D (All statements are true).
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