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Q. 24

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1175

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Short Answer

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.

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given information 

We have given,

length of potential barrier =

The potential =

probability =

We have to find the energy of wave.

Step 2: Simplify

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)

Part (b) Step 1: Given information

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

Step 2: Simplify

We know that relation between the probability and the energy is

Part (c) Step 1: Given information

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

Step 2: Simplify

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

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