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