8. Consider a potential barrier defined by 0 I <0 0 < x L U(z)=Uo 0 with Uo= 1.00 eV. An electron with energy E> 1 eV moving in the positive z- direction is incident on this potential. The transmission probability for this situation is given by T: 4(E/U₁) [(E/U₁) − 1] sin² √2m(E- Uo)L/h + 4(E/Uo) [(E/U) − 1] It is found that the reflection probability is zero for E= 1.10 eV and non-zero for smaller incident energies. What is the width of the potential barrier L?

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8. Consider a potential barrier defined by
0
U(x)=Uo
0
T=
x<0
0 < x <L
I > L
with Up = 1.00 eV. An electron with energy E> 1 eV moving in the positive -
direction is incident on this potential. The transmission probability for this situation
is given by
4(E/U₁) [(E/U₁)-1]
sin² √2m(E-Uo) L/h +4(E/Uo) [(E/U₁) - 1]
It is found that the reflection probability is zero for E= 1.10 eV and non-zero for
smaller incident energies. What is the width of the potential barrier L?
Transcribed Image Text:8. Consider a potential barrier defined by 0 U(x)=Uo 0 T= x<0 0 < x <L I > L with Up = 1.00 eV. An electron with energy E> 1 eV moving in the positive - direction is incident on this potential. The transmission probability for this situation is given by 4(E/U₁) [(E/U₁)-1] sin² √2m(E-Uo) L/h +4(E/Uo) [(E/U₁) - 1] It is found that the reflection probability is zero for E= 1.10 eV and non-zero for smaller incident energies. What is the width of the potential barrier L?
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