Energy of Electron in Be³⁺ Ion | JEE Mains PYQ | Structure of Atom
Q. The energy of an electron in the first Bohr orbit of the H-atom is −13.6 eV.
The magnitude of energy value of an electron in the first excited state of
Be3+ is ______ eV (nearest integer value).
Explanation
Step 1: Energy formula for hydrogen-like species
En = −13.6 × Z² / n² (in eV)
Step 2: Values for Be³⁺
Atomic number Z = 4
First excited state ⇒ n = 2
Step 3: Substitute values
E = −13.6 × (4)² / (2)²
E = −13.6 × 16 / 4
E = −13.6 × 4 = −54.4 eV