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Number of orbitals present in 3rd shell ...

Number of orbitals present in 3rd shell is

A

1

B

3

C

9

D

18

Text Solution

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The correct Answer is:
To find the number of orbitals present in the third shell, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Principal Quantum Number (n)**: - The question specifies the third shell, which corresponds to the principal quantum number \( n = 3 \). 2. **Use the Formula to Calculate the Number of Orbitals**: - The formula to calculate the number of orbitals in a shell is given by \( n^2 \). - Substitute the value of \( n \) into the formula: \[ n^2 = 3^2 = 9 \] 3. **Interpret the Result**: - The calculation shows that there are 9 orbitals in the third shell. 4. **Break Down the Orbitals by Subshells**: - In the third shell, we have the following subshells: - **3s**: 1 orbital - **3p**: 3 orbitals - **3d**: 5 orbitals - Adding these together gives: \[ 1 (from \, 3s) + 3 (from \, 3p) + 5 (from \, 3d) = 9 \, orbitals \] 5. **Conclusion**: - Therefore, the total number of orbitals present in the third shell is **9**. ### Final Answer: The number of orbitals present in the third shell is **9**. ---
To find the number of orbitals present in the third shell, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Principal Quantum Number (n)**: - The question specifies the third shell, which corresponds to the principal quantum number \( n = 3 \). 2. **Use the Formula to Calculate the Number of Orbitals**: ...
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