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How many radial and angular nodes are pr...

How many radial and angular nodes are present in 2p orbital.

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To determine the number of radial and angular nodes in a 2p orbital, we can follow these steps: ### Step 1: Identify the principal quantum number (n) and the azimuthal quantum number (l). - For the 2p orbital, the principal quantum number \( n = 2 \). - The azimuthal quantum number \( l \) for a p orbital is \( l = 1 \). ### Step 2: Calculate the number of radial nodes. - The formula for calculating radial nodes is given by: \[ \text{Radial Nodes} = n - l - 1 \] - Substituting the values: \[ \text{Radial Nodes} = 2 - 1 - 1 = 0 \] - Therefore, there are **0 radial nodes** in the 2p orbital. ### Step 3: Calculate the number of angular nodes. - The formula for calculating angular nodes is: \[ \text{Angular Nodes} = l \] - Since \( l = 1 \) for the 2p orbital: \[ \text{Angular Nodes} = 1 \] - Therefore, there is **1 angular node** in the 2p orbital. ### Final Answer: - The 2p orbital has **0 radial nodes** and **1 angular node**. ---
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