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psi(310) has :...

` psi_(310)` has :

A

`1` aredial node and `1` angualr node

B

`1` aredial node and `1` angualr node

C

`1` aredial node and `1` angualr node

D

`1` aredial node and `1` angualr node

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The correct Answer is:
To solve the question regarding the wave function \( \psi_{310} \), we need to analyze the quantum numbers associated with it and determine the number of angular nodes and areal (spherical) nodes present in the orbital. ### Step-by-Step Solution: 1. **Identify the Quantum Numbers**: The notation \( \psi_{310} \) indicates the following quantum numbers: - \( n = 3 \) (Principal quantum number) - \( l = 1 \) (Azimuthal quantum number) - \( m = 0 \) (Magnetic quantum number) 2. **Calculate Total Nodes**: The total number of nodes in an orbital can be calculated using the formula: \[ \text{Total nodes} = n - 1 \] For \( n = 3 \): \[ \text{Total nodes} = 3 - 1 = 2 \] 3. **Determine Angular Nodes**: The number of angular nodes is equal to the azimuthal quantum number \( l \): \[ \text{Angular nodes} = l = 1 \] 4. **Calculate Areal (Spherical) Nodes**: The number of areal nodes can be found by subtracting the number of angular nodes from the total nodes: \[ \text{Areal nodes} = \text{Total nodes} - \text{Angular nodes} = 2 - 1 = 1 \] 5. **Conclusion**: Therefore, for the wave function \( \psi_{310} \): - Angular nodes = 1 - Areal nodes = 1 ### Final Answer: - **Angular Nodes**: 1 - **Areal Nodes**: 1

To solve the question regarding the wave function \( \psi_{310} \), we need to analyze the quantum numbers associated with it and determine the number of angular nodes and areal (spherical) nodes present in the orbital. ### Step-by-Step Solution: 1. **Identify the Quantum Numbers**: The notation \( \psi_{310} \) indicates the following quantum numbers: - \( n = 3 \) (Principal quantum number) - \( l = 1 \) (Azimuthal quantum number) ...
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