Q. 45

Expert-verifiedFound in: Page 1177

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 .

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

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:

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