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Q. 45

Expert-verified
Found in: Page 1177

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A proton’s energy is below the top of a -wide energy barrier. What is the probability that the proton will tunnel through the barrier?

The probability that the proton will tunnel through the barrier is .

See the step by step solution

## Step 1: Given Information

We need to find the probability that the proton will tunnel through the barrier.

## Step 2: Simplify

Finding the penetration distance of the proton into the forbidden region:

but we given that the proton's energy is below the top of the well, which represents the value of . Then, .

Since:

the probability that the proton will tunnel through the barrier is given as:

There, the width of the barrier.

Therefore: