Question

A rectangular corral of widths Lx = L and Ly = 2.08L contains seven electrons. What multiple of h2/8mL2 gives the energy of the ground state of this system? Assume that the electrons do not interact with one another, and do not neglect spin.

Answer 1

Energy of trap: \[E = nh^2(Lx^2+Ly2)/8mL^2\]
=\[h^2(L^2+(2.08L)^2)/8mL^2 = 4.3264nh^2L^2/8mL^2 = 4.3264nh^2/8m\]
Notice how we get an answer that is 4.3264 times h^2/8mL^2. Thus, 4.3264 would be your answer.

Answer 2

^sorry 4.3264L

Answer 3

^DOUBLE SORRY 4.3264L^2.

Answer 4

the right answer is 16.7...

Answer 5

:/ dang.