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

Q 9 Conceptual Question

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1235

Answers without the blur.

Just sign up for free and you're in.


Short Answer

The three isotopes

Which of these isotopes would be most useful as a biological tracer? Why?

Thus, would be quite valuable.

See the step by step solution

Step by Step Solution

Step 1: Given information

Three isotopes are given:

Step 2: Explanation

Because a gamma ray is emitted after beta decay, would be quite valuable. Because alphas and betas do not penetrate material well, they would not be discovered if they were to escape the body.

Step 3: Explanation

However, the gamma ray does enter material well and might be identified if it were to escape the body.

Most popular questions for Physics Textbooks

Alpha decay occurs when an alpha particle tunnels through the Coulomb barrier. FIGURE CP42.63 shows a simple one-dimensional model of the potential-energy well of an alpha particle in a nucleus with A ≈ 235. The 15 fm width of this one-dimensional potential-energy well is the diameter of the nucleus. Further, to keep the model simple, the Coulomb barrier has been modeled as a 20-fm-wide, 30-MeV-high rectangular potential-energy barrier. The goal of this problem is to calculate the half-life of an alpha particle in the energy level E = 5.0 MeV. a. What is the kinetic energy of the alpha particle while inside the nucleus? What is its kinetic energy after it escapes from the nucleus? b. Consider the alpha particle within the nucleus to be a point particle bouncing back and forth with the kinetic energy you found in part a. What is the particle’s collision rate, the number of times per second it collides with a wall of the potential? c. What is the tunneling probability Ptunnel ? d. Ptunnel is the probability that on any one collision with a wall the alpha particle tunnels through instead of reflecting. The probability of not tunneling is 1 - Ptunnel. Hence the probability that the alpha particle is still inside the nucleus after N collisions is 11 - Ptunnel 2N ≈ 1 - NPtunnel , where we’ve used the binomial approximation because Ptunnel V 1. The half-life is the time at which half the nuclei have not yet decayed. Use this to determine (in years) the half-life of the nucleus.


Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

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