The energy of an electron in first Bohr orbit of H-atom is eV. The magnitude of energy value of electron in the first excited state of is eV. (nearest integer value)

Question

The energy of an electron in first Bohr orbit of H-atom is  eV. The magnitude of energy value of electron in the first excited state of  is  eV. (nearest integer value)

Canvas Classes · Accepted Answer

Step 1: Recall energy formula for hydrogen-like ions

eV

Step 2: Identify parameters for

is a hydrogen-like ion with:
-  (atomic number of Be)
- First excited state:

Step 3: Calculate energy

eV

Step 4: Find magnitude

eV (nearest integer)

Answer: 54

Key Points to Remember:
- For hydrogen-like ions:  eV
- First excited state =  (not , which is ground state)
- : , one electron remaining

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