Question

An electric field can induce an electric dipole in a neutral molecule (or atom) by pushing the positive and negative charges inside the molecule in opposite directions. The dipole moment of the induced dipole is directly proportional to the electric field at the molecule. That is, p⃗ =αE⃗ , where  p⃗   is the induced dipole moment, α is called the polarizability of the molecule, and  E⃗  is the electric field at the molecule. A stronger electric field at the molecule results in a more polarized molecule and causes a larger dipole moment p⃗ . A molecule with a larger polarizability, α, will be more polarized when subjected to the same electric field.

1.

Find an expression for the force the electric field from the molecule exerts on the ion F⃗ moleculeonion.

Express your answer in terms of the variables q, r, α and appropriate constants. Don't forget that since force is a vector your answer must include the direction of the force.

2.

Part complete

Explore the forces:

Do the ion and molecule attract, repel, or neither attract nor repel?
If the ion's charge is doubled, how do the forces change?
If the distance between the ion and the molecule is doubled, how do the forces change?
If the molecule's polarizability is doubled, how do the forces change?
If the ion has a negative charge, how do the forces change?

show all works thanks.

Answer 1