A) \[x={{\left( \frac{2a}{b} \right)}^{1/6}}\]
B) \[x={{\left( \frac{a}{2b} \right)}^{1/6}}\]
C) \[x=0\]
D) \[x={{\left( \frac{11a}{b} \right)}^{1/6}}\]
Correct Answer: A
Solution :
For stable equilibrium position of atom \[\frac{dU}{dx}=0\] \[\Rightarrow \] \[-12a{{x}^{-13}}+6b{{x}^{-7}}=0\] \[\Rightarrow \] \[{{x}^{6}}=\frac{2a}{b}\] \[\Rightarrow \] \[x={{\left( \frac{2a}{b} \right)}^{1/6}}\]You need to login to perform this action.
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