The value of `n_(1)` for Pashecn series of hydrogen spectrum is`(n_(1) =` orbit number in which electron falls)

Options

A. 1
B. 2
C. 3
D. 4

Answer

To find the value of \( n_1 \) for the Paschen series of the hydrogen spectrum, we can follow these steps:

### Step 1: Understand the Hydrogen Spectrum Series
The hydrogen spectrum consists of several series based on the principal quantum number \( n \). Each series corresponds to transitions of electrons between energy levels.

### Step 2: Identify the Series
The main series in the hydrogen spectrum are:
- **Lyman Series**: \( n_1 = 1 \) (transitions to the first energy level)
- **Balmer Series**: \( n_1 = 2 \) (transitions to the second energy level)
- **Paschen Series**: \( n_1 = 3 \) (transitions to the third energy level)
- **Brackett Series**: \( n_1 = 4 \) (transitions to the fourth energy level)

### Step 3: Determine the Value of \( n_1 \) for the Paschen Series
Since the Paschen series involves transitions where the electron falls to the third energy level, we have:
\[ n_1 = 3 \]

### Conclusion
Thus, the value of \( n_1 \) for the Paschen series of the hydrogen spectrum is:
\[ n_1 = 3 \]

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