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Concepts Of Physics MCQ Edition [Volume 2]

Exam: Concepts Of Physics MCQ Edition [Volume 2]
Subject: Physics
Chapter: Bohr's Model and Physics of the Atom

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Bohr's Model and Physics of the Atom

Determine the ionization potential for a Li^ ++ ion.

Determine the ionization potential for a

\text{Li}^{++}

ion.

Options

A $40.8 \text{ V}$
B $122.4 \text{ V}$
C $54.4 \text{ V}$
D $13.6 \text{ V}$

Correct answer

B. $122.4 \text{ V}$

Step-by-step solution

For a hydrogen-like ion, the ionization energy is given by

E = 13.6 \times Z^2 \text{ eV}

.

For a

\text{Li}^{++}

ion, the atomic number is

Z = 3

.

Substituting

Z = 3

in the formula:

E = 13.6 \times (3)^2 \text{ eV} = 13.6 \times 9 \text{ eV} = 122.4 \text{ eV}

.

The corresponding ionization potential is

122.4 \text{ V}

.

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