Question

An electron is trapped in a box of length L = 100 pm. There is a single node in the center of the box where the electron cannot exist. What is the energy of the electron, in eV?

Answer 1

For a one dimensional particle in a box problem, the total solution for the Schrödinger equation's energy is
\(\Large E_{n}=\frac{n^{2}h^2}{8mL^2}, n=1,2,3....\)

Answer 2

Solve the problem using the correct wavefuction ( the correct \(n\))

Answer 3

Frosty to the rescue! though, i think you mean principal quantum number, not wavefunction at the end there :P

Answer 4

please solve it... I am beginner

Answer 5

No actually I meant wavefunction :P
remember that n is am integer we put on our waveterm in order to hit all the allowed solutions. (see figure).
\[\Large n \times \frac{ 1 }{ 2 } \lambda = L, ~ n=1,2,3....\]