Q.54

Expert-verifiedFound in: Page 626

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

In a simple model of the hydrogen atom, the electron moves in a circular orbit of radius 0.053 nm around a stationary proton. How many revolutions per second does the electron make?

Revolutions made by the electron per second is revolutions/s.

A hydrogen atom and the radius of the electron's orbit is 0.053 nm.

As the electron and proton are charged an electric force acts. And electron moves in circle around proton so, centripetal force acts.

Therefore,

Electric field,

k is Coulomb constant.

Centripetal force,

m is mass of the electron.

Charge of electron and proton are equal, i.e..

One revolution will be 2,so the angular velocity will be divided by 2.

So, including formula 2 and 3 in eq1 we get,

Now dividing eq4 by 2 we get,

revolutions/s.

i.e. revolutions made per second is 6.5710^{15}.

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