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Q.

The potential energy of diatomic molecule is given by U=Ar12-Br6 where, r is the distance between the atoms that make up the molecule and A and B are positive constants. Find the equilibrium separation between the atoms.

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a

s=AB1/6

b

s=2 A B1/6

c

s=BA1/5

d

s=2BA1/5

answer is B.

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Detailed Solution

The interaction force between the atoms is given by F=-dUds=--12As13+6Bs7At equilibrium F=0, therefore s=2AB1/6

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The potential energy of diatomic molecule is given by U=Ar12-Br6 where, r is the distance between the atoms that make up the molecule and A and B are positive constants. Find the equilibrium separation between the atoms.