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The potential energy between two atoms in a molecule is given by `U(x)= (1)/(x^(12))-(b)^(x^(6))`, where a and b are positive constants and x is the distance between the atoms. The atom is in stable equilibirum whenA. `x = 6sqrt((11a)/(5b))`B. `x = 6sqrt((a)/(2b))`C. `x =0`D. `x = 6sqrt((2a)/(b))` |
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Answer» Correct Answer - D The potential ………… Condition for stable equilibrium `F = (dU)/(dx) = 0` `implies -(d)/(dx)[(a)/(x^(12))-(b)/(x^(6))]= 0 implies -12ax^(-13)+6bx^(-7)=0` `implies (12a)/(x^(13))=(6b)/(x^(7)) implies (2a)/(b) = x^(6) implies x = 6sqrt((2a)/(b))` |
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