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The potential energy function for the force between two atoms in a diatomic molecule is approximately given by \( U(x)=\frac{a}{x^{12}}-\frac{b}{x^{6}} \), where \( a \) and \( b \) are constants and \( x \) is the distance between the atoms. If the
\( P \) dissociation energy of the molecule is \( \mathrm{D}=\left[\mathrm{U}(\mathrm{x}=\infty)-\mathrm{U}_{\text {at equilibrium }}\right] \), \( \mathrm{D} \) is

W
(A) \( \frac{b^{2}}{2 a} \)
(B) \( \frac{b^{2}}{12 a} \)
(C) \( \frac{b^{2}}{4 a} \)
(D) \( \frac{b^{2}}{6 a} \)
[AIEEE-2010]
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