Question:
The third line of Balmer series of an ion equivalent to hydrogen atom has wavelength 108.5 nm. The ground state energy of an electron of this ion will be:
The third line of Balmer series of an ion equivalent to hydrogen atom has wavelength 108.5 nm. The ground state energy of an electron of this ion will be:
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Energy of hydrogen-like ions scales as Z².
Updated On: Mar 20, 2026
- 3.4 eV
- 13.6 eV
- 54.4 eV
- 122.4 eV
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The Correct Option is C
Solution and Explanation
Step 1: Balmer third line: (1)/(λ) = RZ²((1)/(2²)-(1)/(5²))
Step 2: Given λ = 108.5nm ⟹ Z=2
Step 3: Ground state energy: E₁ = 13.6 Z² = 54.4eV
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