Why will chlorine atom attract electron.

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Chlorine atoms have a strong ability to attract electrons due to their high electronegativity and the presence of a positive nucleus. While a neutral chlorine atom does not exert a net Coulombic force on an electron from a distance, the attraction increases significantly as the electron approaches the nucleus. The electron experiences an attractive force due to the positive charge of the protons in the chlorine nucleus, which becomes dominant at close range. This interaction leads to the formation of a stable electron configuration as the electron is drawn into the atom. Ultimately, the electron is attracted to the chlorine atom due to the electrostatic forces between opposite charges.
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Homework Statement


Suppose that there is an isolated chlorine atom and there is an isolated electron in its surroundings. Then what force will act on the electron to pull it towards the atom.



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The Attempt at a Solution



I know that chlorine will attract the electron but I am unable to identify what force will be acting on the electron to pull it towards the chlorine atom. I think that as the chlorine atom is neutral there will be 0 net coulombic attractive force towards the atom on the electron. Then how will the electron be attracted towards the nucleus? Please help me...
 
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From a large distance there is no net coulombic force an thus no attractive force. What do you think will happen as the electron gets much closer?
 
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