Question

Energy of first Balmer line of H-atom is \( x \) kJ. The energy of the second Balmer line of H-atom is _____

• A. \( x \)
• B. 1.35 \( x \)
• C. 2 \( x \)
• D. \( x / 1.35 \)

Hint:

The energy of the lines in the Balmer series follows a pattern that can be calculated using the Rydberg formula, with each successive line having a higher energy.

Answer 1

The Correct Option is B

Step 1: Energy of the Balmer series. 
The energy of each line in the Balmer series for hydrogen can be given by the Rydberg formula. The energy for the first line (n=3 to n=2) and the second line (n=4 to n=2) are related. 
Step 2: Energy ratio. 
The energy of the second Balmer line will be higher than the first. The ratio of the energies for the first and second lines can be calculated based on the Rydberg equation, which gives approximately a factor of 1.35 times. 
Step 3: Conclusion. 
Thus, the energy of the second Balmer line is 1.35 times that of the first. 
Final Answer: \[ \boxed{1.35x}. \]