Select your language

Suggested languages for you:
Log In Start studying!
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 45

Expert-verified
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1177

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

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 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:

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.