Question

The \( n_1 \) and \( n_2 \) values for the 3rd line of the Paschen series of the hydrogen spectrum are respectively:

• A. 3 and 4
• B. 3 and 5
• C. 3 and 6
• D. 2 and 5

Hint:

The Paschen series is a series of spectral lines of the hydrogen atom that results from the transition of an electron from a higher energy level to the \( n = 3 \) energy level.

Answer 1

The Correct Option is C

The Paschen series corresponds to transitions where the electron falls to the \( n_1 = 3 \) energy level. 
The lines in the Paschen series are given by: 
1st line: \( n_2 = 4 \) 2nd line: \( n_2 = 5 \) 3rd line: \( n_2 = 6 \) Therefore, for the 3rd line of the Paschen series, \( n_1 = 3 \) and \( n_2 = 6 \). 
Final Answer: 3 and 6.