Question

Assuming \( f \) to be the frequency of the first line in Balmer series, the frequency of the immediate next (i.e., second) line is

• A. \( 0.50f \)
• B. \( 1.35f \)
• C. \( 2.05f \)
• D. \( 2.70f \)

Hint:

In the Balmer series, the frequencies of the lines follow a predictable sequence based on their position in the series.

Answer 1

The Correct Option is B

Step 1: Frequency of Balmer series lines.
The Balmer series of hydrogen has frequencies that follow a specific ratio. The second line of the series is \( \sim 1.35 \) times the first line.
Step 2: Conclusion.
Hence, the frequency of the second line is \( 1.35f \). Therefore, the correct answer is option (B).

Final Answer: \[ \boxed{1.35f} \]