An electron and a neutral carbon atom of polarizability a are at a distance r apart (r is much greater than the diameter d of the atom). Due to polarization of the atom by the electron, there is a force F between the electron and the carbon atom. If we change r F' to 3.6r, what will be the ratio of where F F is the new force between the two? Hint: To find the r-dependence of the force, first find the induced polarization (dipole moment) of the atom as a function of r. Then find the force exerted by this induced dipole on the electron.
An electron and a neutral carbon atom of polarizability a are at a distance r apart (r is much greater than the diameter d of the atom). Due to polarization of the atom by the electron, there is a force F between the electron and the carbon atom. If we change r F' to 3.6r, what will be the ratio of where F F is the new force between the two? Hint: To find the r-dependence of the force, first find the induced polarization (dipole moment) of the atom as a function of r. Then find the force exerted by this induced dipole on the electron.
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Transcribed Image Text:An electron and a neutral carbon atom of
polarizability a are at a distance r apart (r
is much greater than the diameter d of the
atom). Due to polarization of the atom by
the electron, there is a force F between the
electron and the carbon atom. If we change r
F'
to 3.6r, what will be the ratio of where F
F
is the new force between the two? Hint: To
find the r-dependence of the force, first find
the induced polarization (dipole moment) of
the atom as a function of r. Then find the
force exerted by this induced dipole on the
electron.
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