The potential energy function for the force between the two atoms in a diatomic molecule…

Physics · JEE Main · NTA ExamsWork, Energy and Power

The potential energy function for the force between the two atoms in a diatomic molecule is approximately given by

\(U(x)=\frac{a}{x^{12}}-\frac{b}{x^{5}},\)

where, a and b are constants and x the distance between the atoms. If the dissociation energy of the molecule is defined as \(\square=\left[U(x=\infty)-U_{\text {at equiliarium }}\right] \text { ، }\) then D is

  1. \(\frac{b^{2}}{2 a}\)
  2. \(\frac{b^{2}}{12 a}\)
  3. \(\frac{b^{2}}{4 a}\)
  4. \(\frac{b^{2}}{6 a}\)

Answer

(C) b^ 2 4 a

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