1.

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 ?

Answer»

OQ is the equilibrium separation.
Hooke's law is obeyed NEAR P.
The POTENTIAL energy of the atoms is the gradient of the graph at all points.
The energy to SEPARATE the atoms completely is obtained from the magnitude of the area enclosed below the axis of r.

Solution :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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