I am getting 0.144 nm for this but I didn't make use of the force. Do you have to use the force?
A force of 4.6 x 10-15 N acts between an electric dipole with dipole moment 2.3 x 10-29 C m and an electron.
How far away from the dipole is the electron located when it travels along the dipole axis?
Of course you have to use the force.
E (which you calculate from the dipole moment, at some distance r) times q equal to force, which is given.
Solve for r.