The total number of subshells in nth main energy level are

Options

A. `n^(2)`
B. `2n^(2)`
C. `(n-1)`
D. n

Explanation

To determine the total number of subshells in the nth main energy level, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Principal Quantum Number (n)**:
The principal quantum number (n) indicates the main energy level of an electron in an atom. It can take positive integer values: n = 1, 2, 3, 4, 5, 6, 7, etc.

2. **Identify the Relationship Between n and Subshells**:
The total number of subshells in a given main energy level is equal to the value of the principal quantum number (n). This means:
- For n = 1, there is 1 subshell (1s).
- For n = 2, there are 2 subshells (2s, 2p).
- For n = 3, there are 3 subshells (3s, 3p, 3d).
- For n = 4, there are 4 subshells (4s, 4p, 4d, 4f).
- And so on.

3. **General Formula**:
Therefore, the total number of subshells in the nth main energy level can be expressed as:
\[ \text{Total number of subshells} = n \]

4. **Conclusion**:
The total number of subshells in the nth main energy level is simply equal to n.

### Final Answer:
The total number of subshells in the nth main energy level is **n**.

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