The potential Energy as a function of the force between two atoms in a diatomic molecule…

Physics · JEE Advanced · NTA ExamsWork, Energy and Power

The potential Energy as a function of the force between two atoms in a diatomic molecule is given by \(U(x)=\frac{a}{x^{12}}-\frac{b}{x^{6}},\) where a and b are positive constants and x is the distance between the atoms. The position of stable equilibrium for the system of the two atoms is given as:
  1. \(x=\frac{a}{b}\)
  2. \(x=\sqrt{\frac{a}{b}}\)
  3. \(x=\frac{\sqrt{3 a}}{b}\)
  4. \(x=\sqrt[6]{\left(\frac{2 a}{b}\right)}\)

Answer

(D) x= [6] ( 2 a b )

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