First slide

Bohr Model of the Hydrogen atom.

Question

The speed of the electron in a hydrogen atom in the n = 3 level is

Moderate

A

6.2 × 10⁵ ms^–1
B

3.7 × 10⁵ ms^–1
C

7.3 × 10⁵ ms^–1
D

1.6 × 10⁵ ms^–1

Solution

We knows that velocity of an e^– in the n^th state
$v = \frac{c}{137} \frac{Z}{n} = \frac{3 x 10^{8}}{137} x \frac{1}{3} = 7.3 x 10^{5}$

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