#### The planetary model of the atom pictures electrons orbiting the atomic nucleus much as planets orbit the Sun. In this model, you can view hydrogen, the simplest atom, as having a single electron in a circular orbit in diameter.

(a) If the average speed of the electron in this orbit is known to be , calculate the number of revolutions per second it makes about the nucleus.

(b) What is the electron’s average velocity?

#### SOLUTION:

A) The formula to be used is

Rearraging the formula–solving for the distance

Substituting the given values

We know the total distance traveled in 1 sec. We know that in 1 revolution, the total distance is

Therefore, the total number of revolutions traveled in 1 second is

B) In one complete revolution, the electrons will go back to its original position. Thus, there is no net displacement. Therefore,

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