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Figure shows roughly how the force F bet...

Figure shows roughly how the force F between two adjacent atoms in a solid varies with inter atomic separation r. Which of the following statements are correct ?

A

OQ is the equilibrium separation.

B

Hooke's law is obeyed near P.

C

The potential energy of the atoms is the gradient of the graph at all points.

D

The energy to separate the atoms completely is obtained from the magnitude of the area enclosed below the axis of r.

Text Solution

Verified by Experts

Since F-r curve is continuous, so
`(dF)/(dr)|_(P^(+))=(dF)/(dr)|_(P^(-))=(dF)/(dr)|_(P)=-alpha` and F (at P) =0 so Hooke's law valid near point P.
Energy required to separate the atoms =`|DeltaU|=|-intvec(F).vec(dr)|=`|Area enclosed between curve and r-axis|
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