A conduction electron is confined to a metal wire of length 13.2 cm. By treating the...

A conduction electron is confined to a metal wire of length 13.2 cm. By treating the conduction electron as a particle confined to a one-dimensional box of the same length, find the energy spacing between the ground state and the first excited state. Give your answer in eV.

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Expert Solution

Here, we have to consider a conduction electron as a particle confied to one-dimensional box of length to a metal wire.

So, we know mass of the electron ( m ) =

Length of the box ( L ) = 13.2 cm = 0.132 m

The Energy of the particle in a one-dimensional box is given by,

where h is the planck constant,

n is the energy state level

m is the mass of the particle

L is the length of the box

For the given situtation state energy can be given as,

For the ground state, n=1 and for the first excited state, n=2

So, and

Energy spacing between the ground state and the first excited state,

genius_generous answered 1 year ago

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