Natural aluminum is all $_{13}^{27} \mathrm{Al}$. If it absorbs a neutron, what does it become? Does it decay by $\beta^{+}$ or $\beta^{-} ?$ What will be the product nucleus?

What is the electric potential energy of a system that consists of two protons $2.5 \times 10^{-15} \mathrm{m}$ apart-as might occur inside a typical nucleus?

When a nucleus undergoes either $\beta^{-}$ or $\beta^{+}$ decay, what happens to the energy levels of the atomic electrons? What is likely to happen to these electrons following the decay?

Give the number of protons and number of neutrons in the nucleus of each the following: (16.1) a. sodium-25 b. nickel-61 c. rubidium- 84 d. silver-110

Show that the magnetic dipole moment M of an electron orbiting the proton nucleus of a hydrogen atom is related to the orbital momentum $L$ of the electron by

$$M=\frac{e}{2 m} L.$$

What is the energy of the $\alpha$ particle emitted in the decay ${ }^{2104} \mathrm{Po} \rightarrow{ }^{206} \mathrm{~Pb}+\alpha$ ? Take into account the recoil of the daughter nucleus.

Give the number of protons and number of neutrons in the nucleus of each of the following: (16.1) a. boron-10 b. zinc-72 c. iron- 59 d. gold-198

Find the energy to remove (a) one proton and (b) one neutron from a ${ }^{32} \mathrm{~S}$ nucleus. (c) Explain the difference between your answers to parts (a) and (b).

In a helium atom, which contains two electrons, do you think that on average the electrons are closer to the nucleus or farther away than in a hydrogen atom? Why?

Calculate the nuclear binding energy of the nucleus ${ }_{11}^{23} \mathrm{Na}$. The measured atomic mass of $\frac{23}{11} \mathrm{Na}$ is $22.989767$ amu.

Calculate the mass defect for the neon-20 nucleus. The mass of neon-20 is $19.992440 ~u$. (Hint: How many protons and neutrons does neon-20 have?)

How many protons and how many neutrons are there in a nucleus of
(a) neon, $76 \mathrm{Ne}$
(b) zinc, 557 ( $\mathrm{Z}$
(c) silver, ${ }^{10} \mathrm{Ag}$.

Determine the symbol ${ }_Z^A \mathrm{X}$ for the parent nucleus whose $\alpha$ decay produces the same daughter as the $\beta^{-}$decay of thallium ${ }_{81}^{208} \mathrm{Tl}$.

Near the surface of the nucleus of a lead atom, the electric field has a strength of $3.4 \times 10^{21} \mathrm{~V} / \mathrm{m}$. What is the energy density in this field?