#131 Consider an electron with an energy of 2 eV impinging

Consider an electron with an energy of 2 eV impinging - Physics

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Free Chegg Question

Consider a electron with an energy of 2 eV impinging on a potential barrier with 20 eV and a width of 3  . What is the tunneling probability?

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Free Chegg Answer

The tunneling probability,T=16(E/V₀)(1-E/V₀)exp(-2K_2a)
The factor K2 we need to determine
energy,E= 2 eV
potential barrier,V0= 20 eV
width = 3 

h=1.04*10^-34
By substituting we get,K2=2.17*10¹⁰ m^-1
T=16(E/V₀)(1-E/V₀)exp(-2K₂a)
T=16(2/20)(1-2/20)exp(-22.17*10¹⁰*3*10¹⁰)=3.17*10^-6