Question

The P.E. function for a diatomic molecule is   x 12 6 a b U x x   . In stable equilibrium, the distance between the particle is

Answer 1

Answer:F=−  

dx

dU

​  

=  

x  

13

 

12a

​  

−  

x  

7

 

6b

​  

 

At equilibrium, F=0 or x=(  

b

2a

​  

)  

1/6

 

At this value of x, we can see that  

dx  

2

 

d  

2

U

​  

 is positive.

So, potential energy is minimum or equilibrium is stable.

Explanation:

Answer 2

Answer:

?????????????

Explanation:

2nd derivative

Unstable ---- negative

neutral ------ 0

For stable  equilibrium, 2nd derivative must be  positive

12a/13 - 6b/7 =0

(2a/b)^1/6 = x