1 answer

An electron with charge −e and mass m moves in a circular orbit of radius r...

Question:

An electron with charge −e and mass m moves in a circular orbit of radius r around a nucleus of charge Ze, where Z is the atomic number of the nucleus. Ignore the gravitational force between the electron and the nucleus. Find an expression in terms of these quantities for the speed of the electron in this orbit. (Use any variable or symbol stated above along with the following as necessary: k for Coulomb's constant.)
v = ?


Answers

here,

cetripetal force on electron = coulomb attractive fore between electron and nucleus

m*v^2/r = k*Z*e*e/r^2

v^2 = k*z*e^2/(m*r)

v = sqrt(k*z*e^2/(m*r) )

.

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