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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 dissociation energy of the molecule is \( D=\left[U_{(x=\infty)}-U_{\text {at equilibrium }}\right], D \) is [AIEEE 2010]
(a) \( \frac{b^{2}}{6 a} \)
(b) \( \frac{b^{2}}{2 a} \)
(c) \( \frac{b^{2}}{12 a} \)
(d) \( \frac{b^{2}}{4 a} \)
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