Question

In the Bohr model of the hydrogen atom, an electron moves in a circular path around a proton. The speed of the electron is approximately 2.20 3 106 m/s. Find (a) the force acting on the electron as it revolves in a circular orbit of radius 0.529 3 10210 m and (b) the centripetal acceleration of the electron

Answer 1

Assuming the electron moves in a circular path around the proton, the acceleration in a circular orbit is constant in magnitude, so:

\[F = ma\]

Where m is the mass of the electron and a is it's centripetal acceleration, which is given by:

\[a = \frac{ v^{2} }{ r }\]
Where v is it's speed (constant in magnitude, but changes in direction), and r the distance between the particles (constant).

Answer 2

Thank you