If the potential energy between two molecules is given by , then at equilibrium, the separation between molecules, and the potential energy are:
[2B / A]⅙, [-A2 / 4B]
[2B / A]⅙, [-A2 / 2B]
(B / A)⅙, 0
(B / 2A)⅙, [-A2 / 4B]
[2B / A]⅙, [-A2 / 4B]
Step 1. Given Data,
Step 2. Formula Used,
We can write force as,
where is the force,
is the potential energy and is the separation between molecules
Step 3. Evaluating the separation between molecules,
Potential energy,
Differentiating we get,
Net force = ,
From the equilibrium condition, we get,
Step 4. Evaluation of the Potential Energy,
On calculating we get,
The potential energy is .and the separation between molecules is at the equilibrium position
Thus, option (A) is correct.