Question

An 80 ev electron impinges upon a potential barrier 100 ev high and 0. 2 nm thick. what is the probability the electron will tunnel through the barrier?

Answer 1

In the above question the probability the electron will tunnel through the barrier is 0.011%.

What do you mean by electron volt?

An electron volt is the amount of energy required to move a charge equal to 1e⁻ across a potential difference of 1eV.

To calculate the probability the electron will tunnel through the barrier is calculated as -

Energy of electron

E=80eV

=80×1.6×10⁻¹⁹

=128×10⁻¹⁹

Height of the barrier U=100 eV

=100×1.6×10⁻¹⁹J

Thickness L=0.2×10⁻⁹m

Probability T=e⁻²cl

C=√2m(U-E)/h

=√[2×1.67×10⁻²⁷(160-128)×10⁻¹⁹] / 1.055×10⁻³⁴

=10.34×10⁻²³/1.055×10⁻³⁴

=9.8×10¹¹

2CL=2×9.8×10¹¹×0.2×10⁻⁹

=3.92×10²

T=e⁻²cl

= 1/e⁻³⁹²/¹⁰⁰⁰⁰

=0.0198%

=0.011%

Hence ,the probability the electron will tunnel through the barrier is 0.011%.

Learn more about electron volt ,here:

brainly.com/question/17136195

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