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 binding energy of a hydrogen atom when it is in the n...

Determine the binding energy of a hydrogen atom when it is in the

n = 2

state.

Options

A $13.6\text{ eV}$
B $3.4\text{ eV}$
C $1.51\text{ eV}$
D $6.8\text{ eV}$

Correct answer

B. $3.4\text{ eV}$

Step-by-step solution

The energy of an electron in the

n

-th orbit of a hydrogen atom is given by

E_n = -\dfrac{13.6}{n^2} \text{ eV}

For the

n = 2

state, the energy is

E_2 = -\dfrac{13.6}{2^2} = -\dfrac{13.6}{4} = -3.4 \text{ eV}

The binding energy is the energy required to remove the electron from this state to infinity, which is the negative of the total energy.

Binding energy

= -E_2 = 3.4 \text{ eV}

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