Chapter 42: Q 2 Exercise (page 1236)
How many protons and how many neutrons are in
Short Answer
Therefore,
a.) 1
b.) 17
c.) 16
d.) 146
Chapter 42: Q 2 Exercise (page 1236)
How many protons and how many neutrons are in
Therefore,
a.) 1
b.) 17
c.) 16
d.) 146
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Give all answers in SI units.
A sample contains radioactive atoms of two types, A and B. Initially there are five times as many A atoms as there are B atoms. Two hours later, the numbers of the two atoms are equal. The half-life of A is 0.50 hour. What is the half-life of B?
The radium isotope
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 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 particleโs collision rate, the number of times per second it collides with a wall of the potential? c. What is the tunneling probability Ptunnel ?
The half-life of the uranium isotope 235 U is 700 million years. The earth is approximately 4.5 billion years old. How much more 235 U was there when the earth formed than there is today? Give your answer as the then-to-now ratio
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