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Q.

The potential energy between two atoms in a molecule is given by U(x)=ax12−bx6; where a and b are positive constants and x is the distance between the atoms. The atom is in stable equilibrium when

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a

x=11a5b6

b

x=a2b6

c

x=0

d

x=2ab6

answer is D.

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Detailed Solution

Condition for stable equilibrium F=−dUdx=0⇒−ddxax12−bx6=0  ⇒−12ax−13+6bx−7=0⇒12ax13=6bx7  ⇒2ab=x6  ⇒x=2ab6
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