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Mathematics
Mathematics
Problem
Potential energy as a function of
r
r
r
is given by
U
=
A
r
10
−
B
r
5
U = \frac{A}{r^{10}} - \frac{B}{r^5}
U
=
r
10
A
−
r
5
B
, where
r
r
r
is the interatomic distance,
A
A
A
and
B
B
B
are positive constants. The equilibrium distance between the two atoms will be : A
(
A
B
)
1
5
\left(\frac{A}{B}\right)^{\frac{1}{5}}
(
B
A
)
5
1
B
(
B
A
)
1
5
\left(\frac{B}{A}\right)^{\frac{1}{5}}
(
A
B
)
5
1
C
(
2
A
B
)
1
5
\left(\frac{2A}{B}\right)^{\frac{1}{5}}
(
B
2
A
)
5
1
D
(
B
2
A
)
1
5
\left(\frac{B}{2A}\right)^{\frac{1}{5}}
(
2
A
B
)
5
1
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