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The maxium value of l for n =4 is...

The maxium value of l for n =4 is

A

2

B

4

C

3

D

5

Text Solution

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The correct Answer is:
To determine the maximum value of the azimuthal quantum number (l) for a given principal quantum number (n), we can follow these steps: ### Step-by-Step Solution: 1. **Understand Quantum Numbers**: - The principal quantum number (n) indicates the energy level of an electron in an atom. - The azimuthal quantum number (l) describes the shape of the orbital and can take on integer values. 2. **Identify the Range of l**: - The azimuthal quantum number (l) can have values ranging from 0 to (n - 1). - This means that for any given value of n, l can take on values starting from 0 up to one less than n. 3. **Substitute the Given Value of n**: - In this case, n = 4. - Therefore, we need to calculate the maximum value of l using the formula: \[ l_{\text{max}} = n - 1 \] 4. **Calculate l**: - Substitute n = 4 into the equation: \[ l_{\text{max}} = 4 - 1 = 3 \] 5. **Conclusion**: - The maximum value of l for n = 4 is 3. ### Final Answer: The maximum value of l for n = 4 is **3**. ---
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