1.

The potential energy function for the force between two atoms in a diatomic molecule is approximately given by U(x)=a/(x^(12))-b/(x^(6)), where a and b are constants ans x is the distance between the atoms. If the dissociation energy of the molecule is D = [U(x = oo) - U_(at) equilibrium], D is :

Answer»

`(b^(2))/(6a)`
`(b^(2))/(2a)`
`(b^(2))/(12a)`
`(b^(2))/(4a)`

Solution :`U(x)=a/(x^(12))-b/(x^(6))`
`F=(DU)/(DX)=0` (at equilibrium) `rArrx^(6)=2a//b`
or `D=(b^(2))/(4a)`
So correct choice is (d).


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