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Force between a permanent dipole and a polarizable atom In the figure below there is a permanent dipole on the left with dipole moment #₁ = Q ₁ and a neutral atom on the right with polarizability a, so that it becomes an induced dipole with dipole moment μ₂ = qs₂ = αE₁, where E₁ is the magnitude of the electric field produced by the permanent dipole. Show that the force the permanent dipole exerts on the neutral atom is -Q+Q F-3--1 $1 F-- ~ (11) ² 120µ² F≈ -1 F F- r » S1 -9 +9 1--1 $2 Hint: It is convenient to use the "binomial expansion" that you may have learned in calculus, that (1 + €)¹ 1+ne when € < 1. Note that n can be negative.

Force between a permanent dipole and a polarizable atom In the figure below there is a permanent dipole on the left with dipole moment #₁ = Q ₁ and a neutral atom on the right with polarizability a, so that it becomes an induced dipole with dipole moment μ₂ = qs₂ = αE₁, where E₁ is the magnitude of the electric field produced by the permanent dipole. Show that the force the permanent dipole exerts on the neutral atom is -Q+Q F-3--1 $1 F-- ~ (11) ² 120µ² F≈ -1 F F- r » S1 -9 +9 1--1 $2 Hint: It is convenient to use the "binomial expansion" that you may have learned in calculus, that (1 + €)¹ 1+ne when € < 1. Note that n can be negative.

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Force between a permanent dipole and a polarizable atom In the figure below there is a permanent dipole on the left with dipole moment μ₁ = Q 8₁ and a neutral atom on the right with polarizability a, so that it becomes an induced dipole with dipole moment μ2 = 982 = αE₁, where E₁ is the magnitude of the electric field produced by the permanent dipole. Show that the force the permanent dipole exerts on the neutral atom is -Q+Q F-=--1 $1 F≈ 1 (ATC) F-- r » S1 12αμ p.7 -9 +9 1--1 $2 Hint: It is convenient to use the "binomial expansion" that you may have learned in calculus, that (1 + €)¹ 1+ne when € < 1. Note that can be negative.
Transcribed Image Text:Force between a permanent dipole and a polarizable atom In the figure below there is a permanent dipole on the left with dipole moment μ₁ = Q 8₁ and a neutral atom on the right with polarizability a, so that it becomes an induced dipole with dipole moment μ2 = 982 = αE₁, where E₁ is the magnitude of the electric field produced by the permanent dipole. Show that the force the permanent dipole exerts on the neutral atom is -Q+Q F-=--1 $1 F≈ 1 (ATC) F-- r » S1 12αμ p.7 -9 +9 1--1 $2 Hint: It is convenient to use the "binomial expansion" that you may have learned in calculus, that (1 + €)¹ 1+ne when € < 1. Note that can be negative.
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