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Chapter 42: Q. 14 (page 1236)

Use the potential-energy diagram in Figure $42.8$ to estimate the strength of the strong force between two nucleons separated by $1.5$ fm.

Short Answer

Expert verified

$F = 8000$

Step by step solution

Given information

we have been given that $F = \frac{- Δ U}{Δ r}$

Simplify

$Δ U = - 20 MeV - (- 70 MeV)$

$Δ U = 50 MeV$

Hence,we will put the value

$F = \frac{- 50 MeV}{1 \times 10^{- 15} m} \times 1.6 \times 10^{- 19} J / eV$

$| F | = 8000 N$

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Most popular questions from this chapter

Does each nuclear energy-level diagram in FIGURE Q42.4 represent a nuclear ground state, an excited nuclear state, or an impossible nucleus? Explain.

The uranium isotope ${}^{238}U$ is naturally present at low levels in many soils. One of the nuclei in the decay series of ${}^{238}U$ is the radon isotope ${}^{222}R n$ , which decays by emitting a localid="1650487447445" $5.50 M e V$ alpha particle with localid="1650487458663" $t_{1 / 2} = 3.82$ days. Radon is a gas, and it tends to seep from soil into basements. The Environmental Protection Agency recommends that homeowners take steps to remove radon, by pumping in fresh air, if the radon activity exceeds $4 p C i p e r l i t e r$ of air.

a. How many ${}^{222}R n$ atoms are there in $1 m^{3}$ of air if the activity is $4 \frac{p C i}{L}$ ?

b. The range of alpha particles in air is $\approx 3 c m$ . Suppose we model a person as a $180 - c m$ -tall, $25 - c m$ -diameter cylinder with a mass of $65 k g$ . Only decays within $3 c m$ of the cylinder can cause exposure, and only $\approx 50 %$ , of the decays direct the alpha particle toward the person. Determine the dose in $m S v p e r y e a r$ for a person who spends the entire year in a room where the activity is $4 p C i / L$ .

c. Does the EPA recommendation seem appropriate? Why?

a. What are the isotopic symbols of all A = 17 isobars?

b. Which of these are stable nuclei?

c. For those that are not stable, identify both the decay mode and the daughter nucleus.

The element gallium has two stable isotopes: 69 Ga with an atomic mass of 68.92 u and 71 Ga with an atomic mass of 70.92 u. A periodic table shows that the chemical atomic mass of gallium is 69.72 u. What is the percent abundance of 69 Ga?

Use the potential-energy diagram in Figure $42.8$ to estimate the strength of the strong force between two nucleons separated by $1.5 f m$ .

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Use the potential-energy diagram in Figure 42.8 to estimate the strength of the strong force between two nucleons separated by 1.5fm.

Short Answer

Step by step solution

Given information

Simplify

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Most popular questions from this chapter

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Use the potential-energy diagram in Figure $42.8$ to estimate the strength of the strong force between two nucleons separated by $1.5$ fm.