Q. 24

Expert-verifiedFound in: Page 1175

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

An electron approaches a wide potential-energy barrier of height . What energy electron has a tunneling probability of (a) 10%, (b) 1.0%, and (c) 0.10%?

a. The energy is

b.

c.

We have given,

length of potential barrier =

The potential =

probability =

We have to find the energy of wave.

We know the probability of the tunneling can be

and we know the penetration distance is,

then this equation will be equal to equation (1)

We have to find the energy for the probability of tunneling is .

We know that relation between the probability and the energy is

We have to find the energy of the system for probability is

We know the relationship between the probability and the energy is given by,

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