Question

An electron (mass *m*) is contained in a rectangular
corral of widths *L*_{x} = *L* and
*L*_{y} = 2*L*. It emits and absorbs light by
making transitions among the lowest five energy levels.
**(a)** How many different frequencies of light could
the electron emit or absorb if it makes a transition between a pair
of the lowest five energy levels? What multiple of
*h*/8*mL*^{2} gives the **(b)**
lowest, **(c)** second lowest, **(d)**
third lowest, **(e)** highest, **(f)**
second highest, and **(g)** third highest
frequency?

Answer #1

(1)

(2)

(3)

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The notations are explicit

An electron of mass m is confined to a 3-dimensional boxthat has
y dimension twice that of x or y so that it has size L x 2L x L (Lx
= L, Ly = 2L and Lz = L).
a) Derive an expression for the energy of each of the following
bound states: (nx, ny, nz) = (1,1,1) and (2,1,1). (You do not need
to use the S.E. to solve for the energy expression; use your
formula sheet).Plug in...

1.) Which transition in a hydrogen atom would
emit the photon of greatest frequency?
n = 35 to n = 2
n= 6 to n = 2
n = 12 to n = 6
n = 1 to n = 4
n = 2 to n = 9
n = 3 to n = 1
***NOT n=35 to n=2***
2.) Which transition in a hydrogen atom would
absorb the photon of greatest frequency?
n = 3 to n = 1...

1.) Which transition in a hydrogen atom would
emit the photon of greatest frequency?
n = 35 to n = 2
n= 6 to n =
2
n = 12 to n =
6
n = 1 to n = 4
n = 2 to n = 9
n = 3 to n = 1
***NOT n=35 to n=2***
2.) Which transition in a hydrogen atom would
absorb the photon of greatest frequency?
n = 3 to n = 1...

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