In the bohr theory of the hydrogen atom, an electron moves in a circular orbit about a proton, where the radius of the orbit is approximately 0.522 ✕ 10-10 m. (the actual value is 0.529 ✕ 10-10 m.) (a) find the magnitude of the electric force exerted on each particle.
(b) if this force causes the centripetal acceleration of the electron, what is the speed of the electron?

a) N

b) m/s

Explanation:

a)

= radius of the orbit = 0.522 x 10⁻¹⁰ m

= magnitude of charge on each proton and electron = 1.6 x 10⁻¹⁹ C

Using coulomb's law , magnitude of electric force on the particle is given as

N

b)

= mass of electron = 9.1 x 10⁻³¹ kg

= speed of electron = ?

Centripetal force is being provided by the electric force, hence

Centripetal force = electric force

m/s

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