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The radial distribution curve of 2s sub...

The radial distribution curve of ` 2s` sub-level consists of `x` nodes. Value of `x` is :

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To determine the number of nodes in the radial distribution curve of the 2s sub-level, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Definitions**: - **Nodes** are points where the probability density of finding an electron is zero. There are two types of nodes: angular nodes and radial nodes. - The total number of nodes in an atomic orbital is given by the formula: \[ \text{Total Nodes} = n - 1 \] - The number of angular nodes is given by \( L \). - The number of radial nodes is given by: \[ \text{Radial Nodes} = n - 1 - L \] 2. **Identify Quantum Numbers for 2s**: - For the 2s sub-level: - The principal quantum number \( n = 2 \). - The azimuthal quantum number \( L = 0 \) (since 's' orbitals have \( L = 0 \)). 3. **Calculate Total Nodes**: - Using the formula for total nodes: \[ \text{Total Nodes} = n - 1 = 2 - 1 = 1 \] 4. **Calculate Angular Nodes**: - Since \( L = 0 \): \[ \text{Angular Nodes} = L = 0 \] 5. **Calculate Radial Nodes**: - Using the formula for radial nodes: \[ \text{Radial Nodes} = n - 1 - L = 2 - 1 - 0 = 1 \] 6. **Conclusion**: - The number of radial nodes for the 2s sub-level is 1. Therefore, the value of \( x \) is: \[ x = 1 \] ### Final Answer: The value of \( x \) is 1. ---

To determine the number of nodes in the radial distribution curve of the 2s sub-level, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Definitions**: - **Nodes** are points where the probability density of finding an electron is zero. There are two types of nodes: angular nodes and radial nodes. - The total number of nodes in an atomic orbital is given by the formula: \[ ...
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