A 3.10-eV electron is incident on a 0.40-nm barrier that is 5.67 eV high. What is the probability that this electron will tunnel through the barrier?...

A 3.10-eV electron is incident on a 0.40-nm barrier that is 5.67 eV high. What is the probability that this electron will tunnel through the barrier?

(1 eV = 1.60 × 10-19 J, m el = 9.11 × 10-31 kg, ℏ = 1.055 × 10-34 J · s, h = 6.626 × 10-34 J · s)

Answer choices are

A 1.5 × 10^-3

B 9.0 × 10^-4

C 1.2 × 10^-3

D 1.0 × 10^-3

E 1.4 × 10^-3