The potential energy is U=A/ r 10 r^{10} r 10 -B/ r 5 r^5 r 5 , where A,B0. The equilibrium separation is:

Question

The potential energy is U=A/ r 10 r^{10} r 10 -B/ r 5 r^5 r 5 , where A,B>0. The equilibrium separation is:

G1 Physics · Accepted Answer

Equilibrium requires dU/dr=-10A/r¹¹+5B/r⁶=0. Thus Br⁵=2A, so r=(2A/B)^(1/5). Hence C.

The potential energy is U=A/ r 10 r^{10} r 10 -B/ r 5 r^5 r 5 , where A,B&gt;0. The equilibrium separation is: