Question 1

The following masses are known: $\begin{array} { l } 
1 \
0
\end{array}$ n 1.008665 u $\begin{array} { l } 
1 \
1
\end{array}$ H 1.007825 u $^{226}
_{88} Ra$ 226.025403 u What is the binding energy of $^{226}
_{88} Ra$? (1 u = 931.5 MeV/c2)

Accepted Answer

A) 1700 MeV 
B) 1900 MeV 
C) 2100 MeV 
D) 2300 MeV 
E) 2500 MeV 
A) 1700 MeV 
B) 1900 MeV 
C) 2100 MeV 
D) 2300 MeV 
E) 2500 MeV

Question 2

The decay constant of a radioactive nuclide is 4.6 × $10 ^{- 3}$ $\mathrm { s } ^ { - 1 }$ What is the half-life of this isotope,in minutes?

Accepted Answer

A) 2.5 min 
B) 3.6 min 
C) 3.1 min 
D) 1.4 min 
E) 2.0 min 
A) 2.5 min 
B) 3.6 min 
C) 3.1 min 
D) 1.4 min 
E) 2.0 min

Question 3

Consider the nuclear reaction: 7Li + 1p → 4He + 4He.The known atomic masses are 7Li: 7.016005 u ${}^{4}_{2}$ He: 4.002603 u
1p: 1.007825 u
What is the Q-value (or reaction energy)of this reaction? (1 u = 931.5 MeV/c2)

Accepted Answer

A) 13.57 MeV 
B) 15.37 MeV 
C) 17.35 MeV 
D) 17.53 MeV 
A) 13.57 MeV 
B) 15.37 MeV 
C) 17.35 MeV 
D) 17.53 MeV

Question 4

A β- particle is also known as

Accepted Answer

A) an electron. 
B) a positron. 
C) a helium nucleus. 
D) a high-energy photon. 
A) an electron. 
B) a positron. 
C) a helium nucleus. 
D) a high-energy photon.

Question 5

In massive stars,three helium nuclei fuse together,forming a carbon nucleus,and this reaction heats the core of the star.The net mass of the three helium nuclei must therefore be

Accepted Answer

A) higher than that of the carbon nucleus. 
B) less than that of the carbon nucleus. 
C) the same as that of the carbon nucleus because mass is always conserved. 
D) the same as that of the carbon nucleus because energy is always conserved. 
A) higher than that of the carbon nucleus. 
B) less than that of the carbon nucleus. 
C) the same as that of the carbon nucleus because mass is always conserved. 
D) the same as that of the carbon nucleus because energy is always conserved.

Question 6

The neutral ${}^{27}_{13}$ Al atom has a mass of 26.981539 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u.What is the binding energy per nucleon for ${}^{27}_{13}$ Al? (1 u = 931.5 MeV/c2)

Accepted Answer

A) 8.3 MeV 
B) 6.7 MeV 
C) 5.4 MeV 
D) 3.4 MeV 
E) 2.8 MeV 
A) 8.3 MeV 
B) 6.7 MeV 
C) 5.4 MeV 
D) 3.4 MeV 
E) 2.8 MeV

Question 7

A radioactive isotope of atomic number Z emits an alpha particle,and the daughter nucleus then emits a beta-minus particle.What is the atomic number of the resulting nucleus?

Accepted Answer

A) Z -1 
B) Z + 1 
C) Z - 2 
D) Z - 3 
A) Z -1 
B) Z + 1 
C) Z - 2 
D) Z - 3

Question 8

A proton strikes an oxygen-18 nucleus,producing fluorine-18 and another particle X.What is the other particle X?

Accepted Answer

A) neutron 
B) positron 
C) alpha particle 
D) electron 
E) gamma ray 
A) neutron 
B) positron 
C) alpha particle 
D) electron 
E) gamma ray

Question 9

The decay rate of a radioactive sample decreases from 175 kBq to 12.4 kBq in 18.3 s.What is the decay constant of this sample?

Accepted Answer

The answer of The decay rate of a radioactive sample...

Question 10

In β- decay,the number of protons in the nucleus is

Accepted Answer

A) decreased by 1. 
B) decreased by 2. 
C) increased by 1. 
D) increased by 2. 
E) remains unchanged. 
A) decreased by 1. 
B) decreased by 2. 
C) increased by 1. 
D) increased by 2. 
E) remains unchanged.

Question 11

In a head-on collision,an alpha particle (Z = 2)of energy $8.20 \mathrm { MeV }$ bounces straight back from a nucleus of charge $80.0 \mathrm { e }$ How close were the centers of the objects at closest approach? (1 eV = 1.60 × 10-19 J,e = 1.60 × 10-19 C,1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Accepted Answer

A) 2.81 × 10-14 m 
B) 3.39 × 10-12 m 
C) 6.56 × 10-15 m 
D) 2.17 × 10-14 m 
A) 2.81 × 10-14 m 
B) 3.39 × 10-12 m 
C) 6.56 × 10-15 m 
D) 2.17 × 10-14 m

Question 12

Consider the nuclear reaction ${}^{14}_{7}$ N + ${}^{4}_{2}$ He → ${}^{14}_{8}$ O + $\begin{array} { l } 
1 \
1
\end{array}$ H.The known atomic masses are ${}^{14}_{7}$ N: 14.003074 u ${}^{4}_{2}$ He: 4.002603 u ${}^{1}_{1}$ H: 1.007825 u ${}^{17}_{8}$ O: 16.999131 u What is the Q-value (or reaction energy)of this reaction? (1 u = 931.5 MeV/c2)

Accepted Answer

A) -1.191 MeV 
B) -2.020 MeV 
C) -6.725 MeV 
D) -9.055 MeV 
A) -1.191 MeV 
B) -2.020 MeV 
C) -6.725 MeV 
D) -9.055 MeV

Question 13

How much energy is released when 0.60 μg of 3H have decayed to 3He? The mass of 3He is 3.0160293 u,the mass of 3H is 3.0160492 u,1 u = 931.5 MeV/c2,1 eV = 1.60 × 10-19 J,and NA = 6.022 × 1023 molecules/mol.

Accepted Answer

Question 14

Radium-226 decays into radon-222 plus an alpha particle.The relevant masses are ${}^{4}_{2}$ He: 4.002603 u ${}^ { 222 }_ { 86 }$ Rn: 222.017570 u $^{226}
_{88} Ra$: 226.025402 u How much energy is released in this process? (1 u = 931.5 MeV/c2)

Accepted Answer

A) 4.24 MeV 
B) 3.76 MeV 
C) 4.87 MeV 
D) 5.05 MeV 
E) 5.39 MeV 
A) 4.24 MeV 
B) 3.76 MeV 
C) 4.87 MeV 
D) 5.05 MeV 
E) 5.39 MeV

Question 15

Today,uranium contains $0.72 \%$ $235 _ { U }$ (half-life = 0.70 billion years)and $99.28 \%$ $\ { 238_ U }$ (half-life = 4.5 billion years).At a time 1.9 billion years ago,what was the fraction of $235_ { U }$ in uranium?

Accepted Answer

A) 3.53% 
B) 4.72% 
C) 4.90% 
D) 6.76% 
A) 3.53% 
B) 4.72% 
C) 4.90% 
D) 6.76%

Exam 29: Nuclear Physics

The following masses are known: 1 0 n 1.008665 u 1 1 H 1.007825 u 88226Ra^{226}_{88} Ra88226​Ra 226.025403 u What is the binding energy of 88226Ra^{226}_{88} Ra88226​Ra ? (1 u = 931.5 MeV/c2)

The decay constant of a radioactive nuclide is 4.6 × 10−310 ^{- 3}10−3 s−1\mathrm { s } ^ { - 1 }s−1 What is the half-life of this isotope,in minutes?

Consider the nuclear reaction: 7Li + 1p → 4He + 4He.The known atomic masses are 7Li: 7.016005 u 24{}^{4}_{2}24​ He: 4.002603 u 1p: 1.007825 u What is the Q-value (or reaction energy)of this reaction? (1 u = 931.5 MeV/c2)

A β- particle is also known as

In massive stars,three helium nuclei fuse together,forming a carbon nucleus,and this reaction heats the core of the star.The net mass of the three helium nuclei must therefore be

The neutral 1327{}^{27}_{13}1327​ Al atom has a mass of 26.981539 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u.What is the binding energy per nucleon for 1327{}^{27}_{13}1327​ Al? (1 u = 931.5 MeV/c2)

A radioactive isotope of atomic number Z emits an alpha particle,and the daughter nucleus then emits a beta-minus particle.What is the atomic number of the resulting nucleus?

A proton strikes an oxygen-18 nucleus,producing fluorine-18 and another particle X.What is the other particle X?

The decay rate of a radioactive sample decreases from 175 kBq to 12.4 kBq in 18.3 s.What is the decay constant of this sample?

In β- decay,the number of protons in the nucleus is

How much energy is released when 0.60 μg of 3H have decayed to 3He? The mass of 3He is 3.0160293 u,the mass of 3H is 3.0160492 u,1 u = 931.5 MeV/c2,1 eV = 1.60 × 10-19 J,and NA = 6.022 × 1023 molecules/mol.

Radium-226 decays into radon-222 plus an alpha particle.The relevant masses are 24{}^{4}_{2}24​ He: 4.002603 u 86222{}^ { 222 }_ { 86 }86222​ Rn: 222.017570 u 88226Ra^{226}_{88} Ra88226​Ra : 226.025402 u How much energy is released in this process? (1 u = 931.5 MeV/c2)

Today,uranium contains 0.72%0.72 \%0.72% 235U235 _ { U }235U​ (half-life = 0.70 billion years)and 99.28%99.28 \%99.28% 238U\ { 238_ U } 238U​ (half-life = 4.5 billion years).At a time 1.9 billion years ago,what was the fraction of 235U235_ { U }235U​ in uranium?

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The following masses are known: 1 0 n 1.008665 u 1 1 H 1.007825 u $^{226}_{88} Ra$ 226.025403 u What is the binding energy of $^{226}_{88} Ra$ ? (1 u = 931.5 MeV/c²)

The decay constant of a radioactive nuclide is 4.6 × $10 ^{- 3}$ $\mathrm { s } ^ { - 1 }$ What is the half-life of this isotope,in minutes?

Consider the nuclear reaction: ⁷Li + ¹p → ⁴He + ⁴He.The known atomic masses are ⁷Li: 7.016005 u ${}^{4}_{2}$ He: 4.002603 u ¹p: 1.007825 u What is the Q-value (or reaction energy)of this reaction? (1 u = 931.5 MeV/c²)

A β^- particle is also known as

The neutral ${}^{27}_{13}$ Al atom has a mass of 26.981539 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u.What is the binding energy per nucleon for ${}^{27}_{13}$ Al? (1 u = 931.5 MeV/c²)

In β^- decay,the number of protons in the nucleus is

How much energy is released when 0.60 μg of ³H have decayed to ³He? The mass of ³He is 3.0160293 u,the mass of ³H is 3.0160492 u,1 u = 931.5 MeV/c²,1 eV = 1.60 × 10^-19 J,and N_A = 6.022 × 10²³ molecules/mol.

Radium-226 decays into radon-222 plus an alpha particle.The relevant masses are ${}^{4}_{2}$ He: 4.002603 u ${}^ { 222 }_ { 86 }$ Rn: 222.017570 u $^{226}_{88} Ra$ : 226.025402 u How much energy is released in this process? (1 u = 931.5 MeV/c²)

Today,uranium contains $0.72 \%$ $235 _ { U }$ (half-life = 0.70 billion years)and $99.28 \%$ $\ { 238_ U }$ (half-life = 4.5 billion years).At a time 1.9 billion years ago,what was the fraction of $235_ { U }$ in uranium?