Question 1

How large is the electrostatic repulsion between two protons a distance d = 6.7 fm apart in a nucleus?

Accepted Answer

A) 7.5 N 
B) 75.5 N 
C) 48.4 N 
D) 8.95 N 
E) 5.13 N 
A) 7.5 N 
B) 75.5 N 
C) 48.4 N 
D) 8.95 N 
E) 5.13 N

Question 2

If protons decay with a half-life of 1030 years,how long will it take for 1% of the protons in the universe to decay?

Accepted Answer

A) 6.3 * 1027 yr 
B) 1.0 * 1028 yr 
C) 1.5 * 1028 yr 
D) 9.9 * 1031 yr 
E) 1.1 * 1032 yr 
A) 6.3 * 1027 yr 
B) 1.0 * 1028 yr 
C) 1.5 * 1028 yr 
D) 9.9 * 1031 yr 
E) 1.1 * 1032 yr

Question 3

What is the binding energy of 56Fe? The atomic mass of 56Fe is 55.9349 u,the mass of a proton = 1.0078 u,the mass of a neutron = 1.0087 u,the atomic number Z = 26 and the atomic mass A = 56.

Accepted Answer

A) 231 MeV 
B) 350 MeV 
C) 492 MeV 
D) 567 MeV 
A) 231 MeV 
B) 350 MeV 
C) 492 MeV 
D) 567 MeV

Question 4

What is the total energy released in the following decay?

Accepted Answer

A) 5 MeV 
B) 2 MeV 
C) 0.8 MeV 
D) 0.2 MeV 
A) 5 MeV 
B) 2 MeV 
C) 0.8 MeV 
D) 0.2 MeV

Question 5

An archeologist discovers the bones of a person who appeared to have been dead a very long time.Using carbon dating,they determine that the rate of change of the   is 0.259 Bq per gram of carbon for the bones.The rate of change of   is 0.270 Bq per gram of carbon for the bones of a person who had just died.How old are the bones? The half life of   is 5.73 x 103 y.

Accepted Answer

A) 120 years 
B) 259 years 
C) 343 years 
D) 568 years 
E) 754 years 
A) 120 years 
B) 259 years 
C) 343 years 
D) 568 years 
E) 754 years

Question 6

Calculate the binding energy for   ,which consists of 92 protons,92 electrons,and 146 neutrons with a total mass of 238.0507826 u.

Accepted Answer

A) 2.65 *10-10 J 
B) 2.45 * 10-10 J 
C) 2.90 * 10-10 J 
D) 1.03 * 10-12 J 
E) 2.65 * 10-13 J 
A) 2.65 *10-10 J 
B) 2.45 * 10-10 J 
C) 2.90 * 10-10 J 
D) 1.03 * 10-12 J 
E) 2.65 * 10-13 J

Question 7

A nuclear fission power plant consumes 7.11 kg of 235U each day to produce electrical power.Assume that the plant has an overall efficiency of 40.0% and that each fission produces 200.0 MeV of energy.Calculate the power output of the nuclear fission power plant.

Accepted Answer

A) 2.90 GW 
B) 3.10 GW 
C) 2.70 GW 
D) 2.50 GW 
E) 2.30 GW 
A) 2.90 GW 
B) 3.10 GW 
C) 2.70 GW 
D) 2.50 GW 
E) 2.30 GW

Question 8

A drug containing   ( t 1/2 = 6.05 h)with an activity of 2.00 $\mu$Ci is to be injected into a patient at 11:00 am.A sample is prepared 4.00 hours before the injection (at 7:00 am).What activity should the drug have at the preparation time (7:00 am)?

Accepted Answer

A) 0.25 $\mu$Ci 
B) 1.34 $\mu$Ci 
C) 2.87 $\mu$Ci 
D) 3.16 $\mu$Ci 
E) 4.47 $\mu$Ci 
A) 0.25 $\mu$Ci 
B) 1.34 $\mu$Ci 
C) 2.87 $\mu$Ci 
D) 3.16 $\mu$Ci 
E) 4.47 $\mu$Ci

Question 9

The rate of change of   is 0.270 Bq per gram of carbon for the bones of a person who had just died.What is the decay constant? The half life of   is 5.73 *103 y-1.

Accepted Answer

A) 1.21 x 10-4 y   
B) 2.31 x 10-4 y   
C) 4.69 x 10-4 y   
D) 5.25 x 10-4 y   
E) 6.34 x 10-4 y   
A) 1.21 x 10-4 y   
B) 2.31 x 10-4 y   
C) 4.69 x 10-4 y   
D) 5.25 x 10-4 y   
E) 6.34 x 10-4 y

Question 10

If the Fermi energy of a neutron inside a nucleus is 38 MeV,estimate the maximum speed with which it moves around inside the nucleus.

Accepted Answer

A) 90% of speed of light 
B) 10% of speed of light 
C) 0.1% of speed of light 
D) 30% of speed of light 
A) 90% of speed of light 
B) 10% of speed of light 
C) 0.1% of speed of light 
D) 30% of speed of light

Question 11

If 1030 atoms of a radioactive sample remain after 10 half-lives,how many atoms remain after 20 half-lives?

Accepted Answer

A) 1029 
B) 1027 
C) 1026 
D) 1028 
A) 1029 
B) 1027 
C) 1026 
D) 1028

Question 12

A certain radioactive isotope decays to one sixteenth of its original amount in 4.0 hours.What is its mean lifetime?

Accepted Answer

A) 1.4 hours 
B) 2.0 hours 
C) 2.5 hours 
D) 3.4 hours 
A) 1.4 hours 
B) 2.0 hours 
C) 2.5 hours 
D) 3.4 hours

Question 13

Calculate the binding energy per nucleon for   ,which consists of 92 protons,92 electrons,and 146 neutrons with a total mass of 238.0507826 u.

Accepted Answer

A) 9.03 * 10-11 J 
B) 8.52 * 10-11 J 
C) 2.65 * 10-12 J 
D) 1.21 *10-12 J 
E) 2.90 * 10-12 J 
A) 9.03 * 10-11 J 
B) 8.52 * 10-11 J 
C) 2.65 * 10-12 J 
D) 1.21 *10-12 J 
E) 2.90 * 10-12 J

Question 14

Which elements have the most stable nuclei because they have the greatest binding energy per nucleon?

Accepted Answer

A) hydrogen and helium 
B) krypton and barium 
C) iron and nickel 
D) uranium and plutonium 
A) hydrogen and helium 
B) krypton and barium 
C) iron and nickel 
D) uranium and plutonium

Question 15

What particle has 9 protons,10 neutrons,and 11 electrons?

Accepted Answer

A) 10F-2 
B) 19F-2 
C) 9Ne-2 
D) 19Ne-2 
E) 9K-2 
A) 10F-2 
B) 19F-2 
C) 9Ne-2 
D) 19Ne-2 
E) 9K-2

Question 16

Consider a hypothetical fission process where a   nucleus splits into two identical   nuclei without producing any other particles or radiation.The mass of   is 119.904040 u,and the mass of   is 59.934078 u.At the moment when the two Fe nuclei form,but before they start moving away due to Coulomb repulsion,how far apart are the two Fe nuclei?

Accepted Answer

A) 3 *10-14 m 
B) 7 * 10-14 m 
C) 4 * 10-13 m 
D) 6 * 10-10 m 
E) 2 * 10-7 m 
A) 3 *10-14 m 
B) 7 * 10-14 m 
C) 4 * 10-13 m 
D) 6 * 10-10 m 
E) 2 * 10-7 m

Question 17

A radioactive isotope has a lifetime of 6.30 min.If you begin with a sample of 2.50 moles of this isotope,how many atoms have you left after one hour?

Accepted Answer

A) 1.10 * 1020 
B) 4.5 * 1014 
C) 2.05 * 1021 
D) None are correct. 
A) 1.10 * 1020 
B) 4.5 * 1014 
C) 2.05 * 1021 
D) None are correct.

Question 18

A radioactive isotope has a lifetime of 6.30 min.If you begin with a sample of this isotope and there are 2.05 * 1021 atoms left after one hour,how many moles were in your initial sample?

Accepted Answer

A) 2.50 
B) 46.6 
C) 17.2 
D) 98.5 
A) 2.50 
B) 46.6 
C) 17.2 
D) 98.5

Question 19

The fusion reaction:   releases 23.85 MeV of energy.World power consumption is about 1013 W and 0.0300% of ocean water contains deuterium,   .If the deuterium in the ocean water were fused by controlled fusion with 100% efficiency,how much water would be needed every second to cover world's power consumption?

Accepted Answer

A) 0.159 kg 
B) 2.32 kg 
C) 58.3 kg 
D) 522 kg 
E) 9470 kg 
A) 0.159 kg 
B) 2.32 kg 
C) 58.3 kg 
D) 522 kg 
E) 9470 kg

Question 20

What is the decay constant for 14C? Carbon 14 has a half-life of 5730 years?

Accepted Answer

A) 1.2 * 10-4 s-1 
B) 5.3 * 10-5 s-1 
C) 1.7 * 10-12 s-1 
D) 3.8 * 10-12 s-1 
E) 5.5 * 10-12 s-1 
A) 1.2 * 10-4 s-1 
B) 5.3 * 10-5 s-1 
C) 1.7 * 10-12 s-1 
D) 3.8 * 10-12 s-1 
E) 5.5 * 10-12 s-1

Exam 40: Nuclear Physics

How large is the electrostatic repulsion between two protons a distance d = 6.7 fm apart in a nucleus?

If protons decay with a half-life of 1030 years,how long will it take for 1% of the protons in the universe to decay?

What is the binding energy of 56Fe? The atomic mass of 56Fe is 55.9349 u,the mass of a proton = 1.0078 u,the mass of a neutron = 1.0087 u,the atomic number Z = 26 and the atomic mass A = 56.

What is the total energy released in the following decay?

Calculate the binding energy for ,which consists of 92 protons,92 electrons,and 146 neutrons with a total mass of 238.0507826 u.

A nuclear fission power plant consumes 7.11 kg of 235U each day to produce electrical power.Assume that the plant has an overall efficiency of 40.0% and that each fission produces 200.0 MeV of energy.Calculate the power output of the nuclear fission power plant.

A drug containing ( t 1/2 = 6.05 h)with an activity of 2.00 μ\muμ Ci is to be injected into a patient at 11:00 am.A sample is prepared 4.00 hours before the injection (at 7:00 am).What activity should the drug have at the preparation time (7:00 am)?

The rate of change of is 0.270 Bq per gram of carbon for the bones of a person who had just died.What is the decay constant? The half life of is 5.73 *103 y-1.

If the Fermi energy of a neutron inside a nucleus is 38 MeV,estimate the maximum speed with which it moves around inside the nucleus.

If 1030 atoms of a radioactive sample remain after 10 half-lives,how many atoms remain after 20 half-lives?

A certain radioactive isotope decays to one sixteenth of its original amount in 4.0 hours.What is its mean lifetime?

Calculate the binding energy per nucleon for ,which consists of 92 protons,92 electrons,and 146 neutrons with a total mass of 238.0507826 u.

Which elements have the most stable nuclei because they have the greatest binding energy per nucleon?

What particle has 9 protons,10 neutrons,and 11 electrons?

A radioactive isotope has a lifetime of 6.30 min.If you begin with a sample of 2.50 moles of this isotope,how many atoms have you left after one hour?

A radioactive isotope has a lifetime of 6.30 min.If you begin with a sample of this isotope and there are 2.05 * 1021 atoms left after one hour,how many moles were in your initial sample?

What is the decay constant for 14C? Carbon 14 has a half-life of 5730 years?

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If protons decay with a half-life of 10³⁰ years,how long will it take for 1% of the protons in the universe to decay?

What is the binding energy of ⁵⁶Fe? The atomic mass of ⁵⁶Fe is 55.9349 u,the mass of a proton = 1.0078 u,the mass of a neutron = 1.0087 u,the atomic number Z = 26 and the atomic mass A = 56.

A nuclear fission power plant consumes 7.11 kg of ²³⁵U each day to produce electrical power.Assume that the plant has an overall efficiency of 40.0% and that each fission produces 200.0 MeV of energy.Calculate the power output of the nuclear fission power plant.

The rate of change of is 0.270 Bq per gram of carbon for the bones of a person who had just died.What is the decay constant? The half life of is 5.73 *10³ y^-1.

If 10³⁰ atoms of a radioactive sample remain after 10 half-lives,how many atoms remain after 20 half-lives?

A radioactive isotope has a lifetime of 6.30 min.If you begin with a sample of this isotope and there are 2.05 * 10²¹ atoms left after one hour,how many moles were in your initial sample?

What is the decay constant for ¹⁴C? Carbon 14 has a half-life of 5730 years?