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The potential energy function for the fo...

The potential energy function for the force between two in a diatomic molecule can approximately be expressed as `U(x)=(a)/(x^(12))-(b)/(x^(4))`, where `a` and `b` are positive constants, and `x` is the distance between the atoms. Answer the following question by selecting most appropriate alternative.
The dissociation energy of the molecule is (initially molecule is at rest at equilibrium)

A

`-(b^(2))/(4a)`

B

`-(b^(2))/(2a)`

C

`+(b^(2))/(4a)`

D

`+(b^(2))/(2a)`

Text Solution

Verified by Experts

The correct Answer is:
C
Dissociation energy
B.E.`= - U (x= root(6) ((2a)/(b)))`
Hence (C) is coorect.
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