Complete Question
(A) Find the excitation energy from the ground level to the third excited level for an electron confined to a box that has a width of 0.125 nm .
(B) The electron makes a transition from the n=1 to n= 4 level by absorbing a photon. Calculate the wavelength of this photon.
Answer:
A
B
Explanation:
Considering question a
From the question we are told that
The width of the box is
Generally the energy level of a particle confined to a box is mathematically represented as
Generally the excitation energy is mathematically represented as
From the question
Here h is the Planck's constant with a value of
m is the mass of electron with value
So
=>
=>
=>
Considering question b
Generally the energy level of a particle confined to a box is mathematically represented as
Generally the excitation energy is mathematically represented as
From the question
Here h is the Planck's constant with a value of
m is the mass of electron with value
So
=>
=>
=>
Gnerally the wavelength is mathematically represented as
=>
=>