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Chapter 42: Q 7 Conceptual Question (page 1235)

What kind of decay, if any, can occur for the nuclei in

FIGURE Q42.7?

Short Answer

Expert verified

Hence, the decays which can occur are explained.

Step by step solution

01

Given information

Nuclei in the fig is given:

02

Explanation (a)

a.) Gamma decay can reduce the excited proton's level to 2n.

03

Explanation (b)

b.) A neutron can be converted to a proton through beta-minus decay.

04

Explanation (c)

c.) There is no room for decay.

05

Diagram


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Most popular questions from this chapter

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 โ‰ˆ 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 particleโ€™s collision rate, the number of times per second it collides with a wall of the potential? c. What is the tunneling probability Ptunnel ?

a. How do we know the strong force exists?

b. How do we know the strong force is short range?

The fact that A cancels means that all nuclei have this density. It is a staggeringly large density, roughly 1014 times larger than the density of familiar liquids and solids. One early objection to Rutherfordโ€™s model of a nuclear atom was that matter simply couldnโ€™t have a density this high. Although we have no direct experience with such matter, nuclear matter really is this dense .

What is the total energy (in MeV) released in the beta-minus

decay of 24Na?

Stars are powered by nuclear reactions that fuse hydrogen into helium. The fate of many stars, once most of the hydrogen is used up, is to collapse, under gravitational pull, into a neutron star. The force of gravity becomes so large that protons and electrons are fused into neutrons in the reaction p++eโˆ’โ†’n+ฮฝ. The entire star is then a tightly packed ball of neutrons with the density of nuclear matter.

a. Suppose the sun collapses into a neutron star. What will its radius be? Give your answer in km.

b. The sun's rotation period is now 27 days. What will its rotation period be after it collapses?

Rapidly rotating neutron stars emit pulses of radio waves at the rotation frequency and are known as pulsars.
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