First slide

Bohr Model of the Hydrogen atom.

Question

How much work must be done to pull apart the electron and the proton that make up the hydrogen atom, if the atom is initially in the state n = 2?

Moderate

A

$13.6 \times 1.6 \times 10^{- 19}$
B

$3.4 \times 1.6 \times 10^{- 19}$
C

$1.51 \times 1.6 \times 10^{- 19}$
D

0

Solution

The electrostatic P.E. is zero when the electron and proton are far apart from each other. Work done in pulling electron and proton far away from each other
$W = E_{f} - E_{i} = 0 - E_{i} =$
$- (- \frac{13 .6}{n^{2}} eV)$
$\Rightarrow W = \frac{13 .6}{(2)^{2}} \times 1 .6 \times 10^{- 19} J = 3 .4$
$\times 1.6 \times 10^{- 19} J$

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