Energy of first Balmer line of H-atom is \( x \) kJ. The energy of the second Balmer line of H-atom is _____
Energy of first Balmer line of H-atom is \( x \) kJ. The energy of the second Balmer line of H-atom is _____
Show Hint
- \( x \)
- 1.35 \( x \)
- 2 \( x \)
- \( x / 1.35 \)
The Correct Option is B
Solution and Explanation
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: \[ \boxed{1.35x}. \]
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