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The potential energy between two atoms i...

The potential energy between two atoms in a molecule is given by `U(x)= (a)/(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 equilibrium when

A

x=0

B

`x=((a)/(2b))^(1//6)`

C

`x=((2a)/(b))^(1//6)`

D

`x=((11a)/(5b))^(1//6)`

Text Solution

Verified by Experts

The correct Answer is:
C
(c ) At equilibrium, `F=-(dU)/(dx)=0 or (-12)ax^(-13)+(6bx^(-7))=0`
`:. " "x=((2a)/(b))^(1//6)`
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