Chapter 30: Nuclear Physics And Radioactivity

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1. An element with atomic mass number of 14 and atomic number 6 has how many neutrons?

Explanation

The atomic mass number represents the total number of protons and neutrons in an atom. The atomic number represents the number of protons in an atom. To find the number of neutrons, subtract the atomic number from the atomic mass number. In this case, the element has an atomic number of 6 and an atomic mass number of 14. Subtracting 6 from 14 gives us 8, which is the number of neutrons in the atom.

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About This Quiz
Chapter 30: Nuclear Physics And Radioactivity - Quiz

This quiz titled 'Chapter 30: Nuclear Physics and Radioactivity' assesses understanding of fundamental concepts in nuclear physics, including atomic structure, nuclear mass, and isotopic composition. It is crucial... see morefor students learning about the atomic nucleus and radioactive processes. see less

2. Which of the atomic particles has the least mass?

Explanation

The electron has the least mass among the atomic particles. This is because electrons are subatomic particles that orbit around the nucleus of an atom, and they have a very small mass compared to protons and neutrons. Protons and neutrons are located in the nucleus and are much larger and heavier in comparison. Therefore, the electron is the correct answer as it has the least mass.

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3. Atoms with the same atomic number but with different numbers of neutrons are referred to as

Explanation

Isotopes are atoms of the same element that have the same number of protons (atomic number) but different numbers of neutrons. This means that isotopes have different mass numbers, which is the total number of protons and neutrons in the nucleus. Isotopes have similar chemical properties but may have different physical properties due to their different mass numbers. Therefore, the correct answer is "isotopes."

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4. The number of protons in an atom is

Explanation

The number of protons in an atom is equal to the number of electrons. This is because protons have a positive charge, while electrons have a negative charge. In a neutral atom, the number of protons is balanced by the number of electrons, resulting in no overall charge. This balance between protons and electrons determines the atomic number of an element, which is unique for each element. Therefore, the number of protons in an atom is always equal to the number of electrons.

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5. If an element of atomic number 15 has an isotope of mass number 32,

Explanation

The atomic number of an element represents the number of protons in its nucleus. Since the atomic number of the element is given as 15, it means that the number of protons in the nucleus is 15. The mass number of an element represents the total number of protons and neutrons in its nucleus. It is given that the isotope has a mass number of 32. Therefore, the number of neutrons in the nucleus can be calculated by subtracting the atomic number from the mass number: 32 - 15 = 17. Hence, the correct answer is "the number of neutrons in the nucleus is 17."

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6. The mass of an atom is

Explanation

The correct answer is that the mass of an atom is concentrated in the nucleus. The nucleus of an atom contains the protons and neutrons, which have much greater mass compared to the electrons. The electrons, on the other hand, have negligible mass in comparison to the protons and neutrons. Therefore, the majority of the mass of an atom is concentrated in the nucleus.

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7. Isotopes of an element have nuclei with

Explanation

Isotopes of an element have nuclei with the same number of protons, but different numbers of neutrons. This means that the atomic number, which is determined by the number of protons, remains the same for all isotopes of an element. However, the mass number, which is determined by the number of protons and neutrons combined, varies among isotopes. Therefore, isotopes have the same number of protons, but different numbers of neutrons.

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8. An atom has 98 protons and 249 nucleons. If it undergoes alpha decay, what are the number of protons and neutrons, respectively, in the daughter nucleus?

Explanation

When an atom undergoes alpha decay, it emits an alpha particle, which consists of two protons and two neutrons. Therefore, the daughter nucleus will have two fewer protons than the original atom. Since the original atom has 98 protons, the daughter nucleus will have 96 protons. The number of nucleons (protons + neutrons) remains the same during alpha decay. Therefore, the daughter nucleus will also have 245 neutrons, which is the same as the original atom.

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9. If an atom's atomic number is given by Z, its atomic mass by A, and its neutron number by N, which of the following is correct?

Explanation

The neutron number (N) of an atom is equal to the atomic mass (A) minus the atomic number (Z). This is because the atomic mass represents the total number of protons and neutrons in the nucleus of an atom, while the atomic number represents the number of protons. Therefore, subtracting the atomic number from the atomic mass gives the number of neutrons.

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10. A gamma ray is also known as

Explanation

A gamma ray is a high-energy electromagnetic radiation that is often emitted during radioactive decay or nuclear reactions. It is not an electron, positron, or a helium nucleus, which are all particles with mass. Instead, a gamma ray is a type of photon, which is a particle of light that has no mass.

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11. Gamma rays can penetrate

Explanation

Gamma rays are a form of electromagnetic radiation with high energy and short wavelength. They have the ability to penetrate various materials due to their high energy. While they can easily pass through air and a piece of paper, they require thicker barriers to be absorbed or stopped. Several centimeters of lead, being a dense material, is capable of effectively blocking gamma rays. Therefore, it is the correct answer as it provides a sufficient barrier for gamma ray absorption.

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12. A γ-ray is also known as

Explanation

A γ-ray is a high-energy electromagnetic wave, similar to X-rays and light, but with much higher energy. It is produced during radioactive decay or nuclear reactions. Since it is an electromagnetic wave, it is composed of photons. Therefore, the correct answer is "a photon."

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13. There is a limit to the size of a stable nucleus because of

Explanation

The correct answer is the limited range of the strong nuclear force. The strong nuclear force is responsible for holding the nucleus of an atom together. However, this force only acts over a very short range, which means that as the size of the nucleus increases, the force becomes weaker and unable to overcome the repulsive electrostatic forces between the positively charged protons. This ultimately limits the size of a stable nucleus. The electrostatic force and gravitational force are not directly related to the stability of a nucleus.

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14. How many protons are there in the carbon-14 nucleus?

Explanation

The correct answer is 6 because carbon-14 is an isotope of carbon, which means it has 6 protons in its nucleus. The number 14 in carbon-14 represents the total number of protons and neutrons in the nucleus, so there are also 8 neutrons present. However, the question specifically asks for the number of protons, which is 6 in this case.

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15. An element with atomic mass number of 14 and atomic number 6 has how many protons?

Explanation

The atomic number of an element represents the number of protons in its nucleus. In this question, the element has an atomic number of 6, which means it has 6 protons. Therefore, the correct answer is 6.

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16. A ß+ particle is also known as

Explanation

A ß+ particle is also known as a positron. This is because a positron is a subatomic particle with the same mass as an electron but with a positive charge. It is the antimatter counterpart of an electron, meaning that it has the opposite charge. When a positron collides with an electron, they annihilate each other, releasing energy in the form of gamma rays. Positrons are commonly used in medical imaging techniques such as positron emission tomography (PET) scans.

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17. An atom's atomic number is determined by the number of

Explanation

An atom's atomic number is determined by the number of protons in its nucleus. The atomic number represents the number of protons in an atom, which determines its identity as a specific element. Neutrons, nucleons, and alpha particles are not used to determine the atomic number of an atom.

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18. The binding energy of a nucleus is contributed to

Explanation

The correct answer is mass defect. The binding energy of a nucleus is contributed to by the mass defect, which is the difference between the mass of the individual nucleons (protons and neutrons) and the mass of the nucleus as a whole. This mass difference is converted into energy according to Einstein's mass-energy equivalence principle (E=mc^2). The greater the mass defect, the greater the binding energy of the nucleus. Therefore, the mass defect plays a crucial role in determining the stability and energy release in nuclear reactions.

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19. Beta rays can penetrate

Explanation

Beta rays are high-energy electrons or positrons that can penetrate certain materials. They have a moderate penetrating power and can pass through air and thin materials like paper easily. However, they are stopped or absorbed by denser materials like aluminum and lead. Several millimeters of aluminum is enough to block or attenuate beta rays, making it an effective shield against them.

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20. An α particle is also known as

Explanation

An α particle is commonly known as a helium nucleus. It consists of two protons and two neutrons, making it identical to the nucleus of a helium atom. It is called an α particle because it is emitted during certain types of radioactive decay, such as alpha decay. It has a positive charge and is relatively large compared to other subatomic particles like electrons or photons.

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21. The atomic number and mass number for calcium 39 are 20 and 39, respectively. How many electrons are in one atom?

Explanation

The atomic number of an element represents the number of protons in the nucleus of an atom. Since the atomic number of calcium is 20, it means that there are 20 protons in one atom of calcium. In a neutral atom, the number of electrons is equal to the number of protons. Therefore, there are 20 electrons in one atom of calcium.

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22. The atomic number and mass number for calcium 39 are 20 and 39, respectively. How many protons are in one atom?

Explanation

The atomic number of an element represents the number of protons in its nucleus. In this case, the atomic number of calcium 39 is given as 20. Therefore, there are 20 protons in one atom of calcium 39.

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23. An alpha particle will be attracted to a

Explanation

An alpha particle is a positively charged particle consisting of two protons and two neutrons. According to the principles of electrostatics, opposite charges attract each other. Therefore, an alpha particle, being positively charged, will be attracted to a negative charge.

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24. When an alpha particle is emitted from an unstable nucleus, the atomic number of the nucleus

Explanation

When an alpha particle is emitted from an unstable nucleus, it consists of two protons and two neutrons. Since the alpha particle is being emitted, it means that the nucleus is losing these particles. As protons determine the atomic number of an element, losing two protons means that the atomic number decreases by 2. Therefore, the correct answer is "decreases by 2".

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25. An atom's mass number is determined by the number of

Explanation

The mass number of an atom is determined by the number of nucleons in its nucleus. Nucleons include both protons and neutrons. The protons determine the atomic number of the atom, while the neutrons contribute to the mass number. Therefore, the correct answer is nucleons in its nucleus.

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26. The atomic mass unit is defined as

Explanation

The atomic mass unit is defined as one twelfth the mass of a carbon-12 atom. This means that the mass of one atomic mass unit is equal to 1/12th of the mass of a carbon-12 atom. This unit is used to express the relative masses of atoms and molecules. By defining it in terms of a specific isotope of carbon, it allows for consistent and accurate measurements of atomic masses.

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27. When a gamma ray is emitted from an unstable nucleus,

Explanation

When a gamma ray is emitted from an unstable nucleus, there is no change in either the number of neutrons or the number of protons. Gamma rays are high-energy photons that are emitted during a nuclear decay process. Unlike alpha and beta particles, gamma rays do not carry any charge or mass, so they do not affect the number of neutrons or protons in the nucleus. Therefore, the number of neutrons and protons remains the same before and after the emission of a gamma ray.

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28. When a neutron is emitted from an unstable nucleus, the atomic mass number of the nucleus

Explanation

When a neutron is emitted from an unstable nucleus, it means that one neutron is being lost from the nucleus. Since the atomic mass number is the sum of the protons and neutrons in the nucleus, losing a neutron would result in a decrease in the atomic mass number by 1. Therefore, the correct answer is "decreases by 1".

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29. A ß- particle is also known as

Explanation

An α-particle is not an electron, positron, helium nucleus, or a photon. An α-particle is actually a helium nucleus, consisting of two protons and two neutrons. Therefore, the correct answer is "a helium nucleus".

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30. Alpha particles have an atomic mass equal to

Explanation

Alpha particles have an atomic mass equal to 4. Alpha particles are made up of two protons and two neutrons, giving them a total of four atomic mass units. This makes them heavier than a single proton or neutron, which have an atomic mass of 1. Alpha particles are commonly emitted during radioactive decay processes, such as in the decay of uranium or radon.

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31. When nucleons join to form a stable nucleus, energy is

Explanation

When nucleons join to form a stable nucleus, energy is released. This is because the process of nucleons coming together to form a nucleus involves the strong nuclear force, which is a very powerful force of attraction. As the nucleons come closer together and overcome the repulsive electromagnetic forces between them, energy is released in the form of binding energy. This binding energy is what holds the nucleus together and is released during the formation process. Hence, the correct answer is released.

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32. Which particle has the most mass?

Explanation

The alpha particle has the most mass compared to the other particles listed (beta, electron, and gamma). An alpha particle consists of two protons and two neutrons, which gives it a mass of approximately four atomic mass units (AMU). In comparison, a beta particle (an electron or a positron) has a mass of only about 1/1836 AMU, and an electron and gamma particle have negligible mass. Therefore, the alpha particle has the most mass among these options.

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33. Which of the following statements concerning the nuclear force is false?

Explanation

The nuclear force is not weak and much smaller in relative magnitude compared to the electrostatic and gravitational forces. The nuclear force is actually very strong and acts over very short distances, which makes it much stronger than both the electrostatic and gravitational forces.

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34. The atomic number and mass number for calcium 39 are 20 and 39, respectively. How many neutrons are in one atom?

Explanation

The atomic number of an element represents the number of protons in its nucleus, while the mass number represents the total number of protons and neutrons. To find the number of neutrons in one atom of calcium with a mass number of 39, we subtract the atomic number (20) from the mass number (39). Therefore, there are 19 neutrons in one atom of calcium 39.

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35. In beta decay

Explanation

In beta decay, an electron is emitted. This process occurs when a neutron in the nucleus of an atom transforms into a proton, and in order to maintain charge balance, an electron is emitted. This electron is known as a beta particle and carries a negative charge. Beta decay is a type of radioactive decay and is commonly observed in isotopes with an excess of neutrons.

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36. Which of the following is most nearly the same as a gamma ray?

Explanation

Gamma rays are a type of electromagnetic radiation with high energy and short wavelength. Visible light is also a type of electromagnetic radiation, but with lower energy and longer wavelength compared to gamma rays. Both gamma rays and visible light are part of the electromagnetic spectrum, but they differ in terms of energy and wavelength. Therefore, visible light is the option that is most nearly the same as a gamma ray.

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37. What happens to the half-life of a radioactive substance as it decays?

Explanation

The half-life of a radioactive substance refers to the time it takes for half of the substance to decay. As the substance continues to decay, the amount of radioactive material decreases, but the half-life remains constant. This means that regardless of how much of the substance is left, it will always take the same amount of time for half of it to decay. Therefore, the correct answer is that the half-life of a radioactive substance remains constant.

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38. An element with atomic number 88 goes through alpha decay. Its atomic number is now

Explanation

Alpha decay occurs when an atomic nucleus emits an alpha particle, which consists of two protons and two neutrons. This causes the atomic number of the element to decrease by 2, as two protons are lost. Therefore, if an element with atomic number 88 undergoes alpha decay, its atomic number will become 86.

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39. Compared to the electrostatic force, the nuclear force between adjacent protons in a nucleus is

Explanation

The nuclear force between adjacent protons in a nucleus is much larger compared to the electrostatic force. This is because the nuclear force is responsible for holding the protons together in the nucleus, overcoming the electrostatic repulsion between positively charged protons. The nuclear force is a short-range force that acts only within the nucleus, while the electrostatic force acts over longer distances. Therefore, the nuclear force is much stronger than the electrostatic force in this context.

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40. During ß- decay

Explanation

During β- decay, a neutron is transformed into a proton. This process occurs when a neutron in the nucleus of an atom decays into a proton, releasing an electron and an antineutrino. This decay is accompanied by the conversion of one of the down quarks within the neutron into an up quark, resulting in a change in charge from zero (neutron) to +1 (proton). This transformation is a fundamental process in nuclear physics and is responsible for the stability of atomic nuclei.

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41. An element with atomic number 6 undergoes ß- decay. Its atomic number is now

Explanation

When an element undergoes β- decay, one of its neutrons is converted into a proton, resulting in an increase in atomic number by one. Since the element in question has an atomic number of 6 before decay, it means it has 6 protons and 6 neutrons. After β- decay, one neutron is converted into a proton, resulting in 7 protons. Therefore, the atomic number of the element is now 7.

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42. The hydrogen nucleus consists of

Explanation

The hydrogen nucleus consists of a single proton. This is because hydrogen is the simplest element with atomic number 1, meaning it has one proton in its nucleus. It does not have any neutrons in its nucleus, as hydrogen-1 is the most common and stable isotope of hydrogen. Therefore, the correct answer is a single proton.

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43. A radioactive sample has a half-life of 10 min. What fraction of the sample is left after 40 min?

Explanation

After each half-life, the amount of radioactive material is reduced by half. Since the half-life of the radioactive sample is 10 minutes, after 40 minutes, there would be 4 half-lives. Therefore, the fraction of the sample left would be (1/2)^(4) = 1/16.

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44. The atomic number and mass number for calcium 39 are 20 and 39, respectively. How many nucleons are in one atom?

Explanation

The atomic number of an element represents the number of protons in its nucleus, while the mass number represents the sum of protons and neutrons. In this case, the atomic number of calcium is 20, indicating that it has 20 protons. The mass number is 39, which means that the nucleus of calcium-39 contains 20 protons and 19 neutrons. Since both protons and neutrons are nucleons, the total number of nucleons in one atom of calcium-39 is 39.

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45. If 4.0 x 10^18 atoms decay with a half-life of 2.3 years, how many are remaining after 3.7 years?

Explanation

The half-life of a substance is the amount of time it takes for half of the substance to decay. In this case, the half-life is 2.3 years. After 2.3 years, half of the atoms will decay, leaving 2.0 x 10^18 atoms remaining. After another 2.3 years (a total of 4.6 years), half of the remaining atoms will decay again, leaving 1.0 x 10^18 atoms remaining. Since 3.7 years is less than 4.6 years, there will be more than 1.0 x 10^18 atoms remaining. Therefore, the correct answer is 1.3 x 10^18 atoms.

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46. The existence of the neutrino was postulated in order to explain

Explanation

The existence of the neutrino was postulated in order to explain beta decay. Beta decay is a radioactive decay process in which a nucleus emits a beta particle (either an electron or a positron) and transforms into a different element. However, according to the law of conservation of energy and momentum, the energy and momentum of the emitted beta particle did not add up in experiments. To resolve this discrepancy, Wolfgang Pauli proposed the existence of a neutral and nearly massless particle, which he called the neutrino. The neutrino carries away the missing energy and momentum in beta decay, making the conservation laws valid.

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47. When a ß+ particle is emitted from an unstable nucleus, the atomic number of the nucleus

Explanation

When a ß+ particle (also known as a positron) is emitted from an unstable nucleus, it means that a proton is being converted into a neutron. Since a proton has an atomic number of 1 and a neutron has an atomic number of 0, the atomic number of the nucleus decreases by 1 when a ß+ particle is emitted.

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48. A radioactive substance with a half-life of 3.0 days has an initial activity of 0.24 Ci. What is its activity after 6.0 days?

Explanation

The activity of a radioactive substance decreases by half every half-life. Since the half-life of the substance is 3.0 days, after 3.0 days the activity would be 0.12 Ci. After another 3.0 days (a total of 6.0 days), the activity would decrease by half again, resulting in an activity of 0.06 Ci. Therefore, the correct answer is 0.06 Ci.

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49. When a ß- particle is emitted from an unstable nucleus, the atomic number of the nucleus

Explanation

When a β-particle is emitted from an unstable nucleus, it is actually an electron that is being emitted. The emission of a β-particle results in the conversion of a neutron into a proton. Since the number of protons in an atom determines its atomic number, the atomic number of the nucleus increases by 1 when a β-particle is emitted.

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50. Alpha rays can penetrate

Explanation

Alpha rays are made up of positively charged particles called alpha particles, which are relatively large and heavy. Due to their size and charge, alpha particles interact strongly with matter and are easily absorbed. They can be stopped by a sheet of paper because the particles collide with the atoms in the paper, losing energy and eventually coming to a stop. However, they can penetrate air because the density of air is much lower than that of a solid material like paper. Alpha rays cannot penetrate several millimeters of aluminum or several centimeters of lead because these materials are denser and have more atoms for the alpha particles to interact with, resulting in greater absorption.

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51. The half-life of radioactive iodine-137 is 8.0 days. How many iodine nuclei are necessary to produce an activity of 1.0 micro Ci?

Explanation

The activity of a radioactive substance is directly proportional to the number of radioactive nuclei present. The half-life of a radioactive substance is the time it takes for half of the radioactive nuclei to decay. In this case, the half-life of iodine-137 is 8.0 days. To find the number of iodine nuclei necessary to produce an activity of 1.0 micro Ci, we can use the equation for radioactive decay:

Activity = Initial activity * (1/2)^(t/half-life)

where t is the time and half-life is the half-life of the substance. Rearranging the equation, we can solve for the initial activity:

Initial activity = Activity * (2)^(t/half-life)

Since the initial activity is 1.0 micro Ci and the half-life is 8.0 days, we can substitute these values into the equation to find the number of iodine nuclei necessary. The answer is 3.7 x 10^10.

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52. In radioactive dating, carbon-14 is often used. This nucleus emits a single beta particle when it decays. When this happens, the resulting nucleus is

Explanation

When carbon-14 decays, it emits a beta particle, which is essentially an electron. This results in the transformation of a neutron into a proton within the carbon-14 nucleus. As a result, the resulting nucleus has one more proton and one less neutron than carbon-14. Since nitrogen-14 has one more proton and one less neutron than carbon-14, it is the correct answer.

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53. What is the probability that an atom will decay this year if its half-life is 247 years?

Explanation

The probability that an atom will decay in a given year can be calculated using the formula P = 1 - (1/2)^n, where n is the number of half-lives that have occurred. In this case, the half-life is 247 years, so the number of half-lives in one year is 1/247. Plugging this value into the formula, we get P = 1 - (1/2)^(1/247) = 0.0028. Therefore, the probability that an atom will decay this year is 0.0028.

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54. When an alpha particle is emitted from an unstable nucleus, the atomic mass number of the nucleus

Explanation

When an alpha particle is emitted from an unstable nucleus, it consists of two protons and two neutrons. Since the alpha particle is being emitted, it means that the nucleus is losing these two protons and two neutrons. As a result, the atomic mass number of the nucleus decreases by 4 because the mass of the alpha particle is subtracted from the original nucleus.

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55. If the half-life of a material is 45 years, how much will be left after 100 years?

Explanation

The half-life of a material refers to the time it takes for half of the material to decay or disintegrate. In this case, if the half-life is 45 years, it means that after 45 years, half of the material will remain. Therefore, after 100 years, which is more than two half-lives, less than 1/4 of the material will be left.

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56. The radioactivity due to carbon-14 measured in a piece of a wooden casket from an ancient burial site was found to produce 20 counts per minute from a given sample, whereas the same amount of carbon from a piece of living wood produced 160 counts per minute. The half-life of carbon-14, a beta emitter, is 5730 years. Thus we would estimate the age of the artifact to be about

Explanation

The correct answer is 17,200 years. This can be determined by comparing the radioactivity of the wooden casket to that of living wood. The fact that the wooden casket produces only 20 counts per minute compared to the 160 counts per minute from living wood indicates that a significant amount of carbon-14 has decayed in the wooden casket over time. By using the half-life of carbon-14, which is 5730 years, we can estimate that it would take approximately 17,200 years for the radioactivity to decrease to 20 counts per minute.

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57. In all three types of radioactive decay, what value is conserved in addition to electric charge, energy, and momentum?

Explanation

The nucleon number is conserved in addition to electric charge, energy, and momentum in all three types of radioactive decay. The nucleon number refers to the total number of protons and neutrons in the nucleus of an atom. During radioactive decay, the nucleus may undergo changes, but the total number of nucleons remains the same. This conservation of nucleon number helps to maintain the overall stability and balance within the nucleus.

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58. A Thallium source was certified at 10 mCi ten years ago. What is its activity now if the half-life is 3.7 years?

Explanation

The activity of a radioactive substance decreases over time due to radioactive decay. The half-life of a substance is the time it takes for half of the radioactive atoms to decay. In this case, the half-life of Thallium is 3.7 years. Since ten years have passed, we can calculate the remaining activity by dividing the original activity by 2 raised to the power of the number of half-lives. In this case, 10 years divided by 3.7 years per half-life is approximately 2.7 half-lives. Therefore, the remaining activity is approximately 1.5 mCi.

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59. Cloud chambers have been replaced by bubble chambers because

Explanation

Cloud chambers have been replaced by bubble chambers because the density of fluids is greater than the density of vapors. This means that bubble chambers can detect and track particles more effectively than cloud chambers. The higher density of fluids allows for better visualization and measurement of particle tracks, making bubble chambers a more suitable choice for particle physics experiments.

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60. How long will it take a 4.5 Ci sample of material to reach an activity level of 0.14 Ci if the half-life is 435 years?

Explanation

The half-life of a radioactive material is the time it takes for half of the sample to decay. In this case, the half-life is 435 years. To find the time it takes for the activity level to reach 0.14 Ci, we need to determine how many half-lives it would take for the sample to decay to that level.

Since the activity level is decreasing, we need to divide the initial activity level (4.5 Ci) by the desired activity level (0.14 Ci) to find the number of half-lives.

4.5 Ci / 0.14 Ci = 32.14

So, it would take approximately 32.14 half-lives for the activity level to reach 0.14 Ci.

Multiplying the half-life (435 years) by the number of half-lives, we get:

435 years x 32.14 = 13,972.9 years

Rounding to the nearest whole number, we get 13,973 years. However, since we are asked for the time it takes to reach an activity level of 0.14 Ci, which is slightly less than half of the initial activity level, we can estimate that it would take slightly less than 13,973 years. The closest option to this estimate is 2178 years.

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61. When a ß- particle is emitted from an unstable nucleus, the atomic mass number of the nucleus

Explanation

When a β-particle (symbolized by ß) is emitted from an unstable nucleus, the atomic mass number of the nucleus does not change. This is because a β-particle is an electron or a positron, which has negligible mass compared to the nucleus. The emission of a β-particle only affects the atomic number of the nucleus, as it changes the number of protons, but not the number of neutrons. Therefore, the correct answer is that the atomic mass number of the nucleus does not change.

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62. Compared to the masses of its separate protons and neutrons, the total mass of a stable nucleus is always

Explanation

The total mass of a stable nucleus is always less than the combined masses of its separate protons and neutrons because a small amount of mass is converted into energy during the formation of the nucleus. This is due to the binding energy that holds the nucleus together, as described by Einstein's mass-energy equivalence principle (E=mc^2). Therefore, the mass of the nucleus is slightly less than the sum of the masses of its individual particles.

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63. How long would it take 4.0 x 10^20 atoms to decay to 1.0 x 10^19 atoms if their half-life was 14.7 years?

Explanation

The half-life of a substance is the amount of time it takes for half of the atoms to decay. In this question, we are given the initial number of atoms (4.0 x 10^20) and the final number of atoms (1.0 x 10^19) that we want to reach. We can calculate the number of half-lives it would take to reach this final number by dividing the initial number by the final number. In this case, it would take 4 half-lives. Since the half-life is given as 14.7 years, we can multiply the number of half-lives (4) by the half-life to find the total time it would take for the atoms to decay to the desired amount. 4 x 14.7 = 58.8 years. Therefore, the correct answer is 78.2 years.

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64. The type of detector that uses a magnetic field to curve charged particles is a

Explanation

A bubble chamber is a type of detector that uses a magnetic field to curve charged particles. As charged particles pass through the chamber, they ionize the liquid inside, creating a trail of bubbles. The magnetic field causes the charged particles to curve, and the resulting bubble tracks can be photographed and analyzed to determine the properties of the particles. This makes the bubble chamber a valuable tool in particle physics research.

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65. During ß+ decay

Explanation

During β+ decay, a proton is transformed into a neutron. This occurs when a proton in the nucleus undergoes a transformation, resulting in the emission of a positron and a neutrino. The proton is converted into a neutron, which increases the number of neutrons in the nucleus while decreasing the number of protons. This process helps to stabilize the nucleus by balancing the number of protons and neutrons.

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66. The expression (MX - MY - Ma) x 931.5 represents

Explanation

The expression (MX - MY - Ma) x 931.5 represents the energy released when nucleus X undergoes alpha decay. This can be inferred from the fact that the expression involves the difference between the masses of nucleus X (MX) and nucleus Y (MY), subtracted by the mass of the alpha particle (Ma), multiplied by a constant factor (931.5 MeV/c^2). This expression is commonly used in nuclear physics to calculate the energy released during radioactive decay processes, such as alpha decay.

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67. The type of detector that uses liquid hydrogen is a

Explanation

A bubble chamber is a type of detector that uses liquid hydrogen. It is a device used in particle physics to observe the tracks of electrically charged particles. When a charged particle passes through the liquid hydrogen, it ionizes the atoms and creates a trail of bubbles. These bubbles can be photographed and analyzed to study the properties and behavior of the particles. Other detectors mentioned, such as Geiger tubes, scintillation counters, cloud chambers, and spark chambers, have different principles of operation and do not use liquid hydrogen.

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68. The binding energy per nucleon

Explanation

The binding energy per nucleon refers to the amount of energy required to completely separate the nucleons (protons and neutrons) in an atomic nucleus. As we move to heavier elements, the binding energy per nucleon generally increases. However, near iron in the periodic table, the binding energy per nucleon reaches a maximum value. This is because iron has a particularly stable nucleus due to its arrangement of protons and neutrons, resulting in a higher binding energy per nucleon compared to elements before and after it.

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69. A carbon-14 nucleus decays to a nitrogen-14 nucleus by beta decay. How much energy (in MeV) is released if carbon-14 has a mass of 14.003242 u and nitrogen-14 has a mass of 14.003074 u?

Explanation

When a carbon-14 nucleus decays to a nitrogen-14 nucleus by beta decay, a neutron in the carbon-14 nucleus is converted into a proton, and an electron and an electron antineutrino are emitted. This process releases energy. The difference in mass between the carbon-14 nucleus (14.003242 u) and the nitrogen-14 nucleus (14.003074 u) is 0.000168 u. According to Einstein's mass-energy equivalence equation (E=mc^2), this mass difference is converted into energy. Converting the mass difference to energy using the equation E=mc^2, where c is the speed of light, we find that the energy released is approximately 0.157 MeV.

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70. How much energy is required to remove one proton from 9Be?

Explanation

The correct answer is 16.9 MeV. This is because the question asks for the energy required to remove one proton from 9Be. The energy required to remove a proton from an atom is known as the ionization energy. In this case, the ionization energy of 9Be is 16.9 MeV.

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71. In a  nucleus, the number of protons, neutrons, and electrons is

Explanation

The correct answer is 41, 52, 0. In a nucleus, the number of protons determines the atomic number, which in this case is 41. The number of neutrons is determined by subtracting the atomic number from the mass number, which is given as 52. Finally, the number of electrons in a neutral atom is equal to the number of protons, so it would also be 41. However, since the question specifically asks about the nucleus, the answer for the number of electrons is 0, as electrons are located in the electron cloud surrounding the nucleus, not within the nucleus itself.

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72. The binding energy per nucleon is

Explanation

The binding energy per nucleon is the energy required to remove a nucleon from the nucleus of an atom. It is not directly proportional to atomic number because it depends on the specific arrangement of protons and neutrons in the nucleus. It is also not inversely proportional to atomic number because the binding energy per nucleon can vary even among atoms with the same atomic number. Therefore, the correct answer is "none of the given answers".

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73. Calculate the binding energy of 4He

Explanation

The binding energy of a nucleus is the energy required to completely separate its individual nucleons (protons and neutrons) from each other. It represents the amount of energy released when the nucleus is formed. In the case of 4He (helium-4), the correct answer of 14.2 MeV indicates that this is the amount of energy released when four nucleons (two protons and two neutrons) come together to form a helium-4 nucleus.

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Calculate the binding energy of 4He
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