Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If the potential energy between two molecules is given by
U
=
−
A
r
6
+
B
r
12
U = -\frac{A}{r^6} + \frac{B}{r^{12}}
U
=
−
r
6
A
+
r
12
B
, then at equilibrium, separation between molecules and the potential energy are (a)
(
B
2
A
)
1
/
6
,
−
A
2
2
B
\left(\frac{B}{2A}\right)^{1/6}, -\frac{A^2}{2B}
(
2
A
B
)
1/6
,
−
2
B
A
2
(b)
(
B
A
)
1
/
6
,
0
\left(\frac{B}{A}\right)^{1/6}, 0
(
A
B
)
1/6
,
0
(c)
(
2
B
A
)
1
/
6
,
−
A
2
4
B
\left(\frac{2B}{A}\right)^{1/6}, -\frac{A^2}{4B}
(
A
2
B
)
1/6
,
−
4
B
A
2
(d)
(
2
B
A
)
1
/
6
,
−
A
2
2
B
\left(\frac{2B}{A}\right)^{1/6}, -\frac{A^2}{2B}
(
A
2
B
)
1/6
,
−
2
B
A
2
Browse the problem library