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MCQs 1:

What will be the remaining mass of a certain radioactive substance after two days, given that it has a half-life of 12 hours and starts at 1.00g?





Topic: Radioactive Decay and Half-Life

Correct Answer: D) 0.062g

Detailed Hint:
  • The concept in question revolves around the theory of radioactive decay and the idea of half-life, which in this case is 12 hours.
  • The half-life represents the time it takes for half of the radioactive substance to decay.
  • Therefore, in a 24-hour day, there will be two half-life cycles. Given that the scenario spans two days, this results in a total of four half-life cycles.
  • Starting from 1.00g, after the first half-life (12 hours), the mass will be reduced to 0.50g. After the second half-life, it'll become 0.25g, then 0.125g after the third, and finally 0.062g after the fourth half-life.
  • Thus, the correct answer is D, "0.062g".

MCQs 2:

The treatment for a cancerous thyroid typically involves the use of which substance?





Topic: Radioactive Isotopes in Medical Treatment

Correct Answer: B) I131

Detailed Hint:
  • The question pertains to the use of radioactive isotopes, specifically I131, in the treatment of cancerous thyroid conditions.
  • Among the given options, I131 is a radioactive isotope that is widely used in the medical field, particularly for treating thyroid cancer.
  • This isotope is administrated orally and then absorbed by the thyroid gland, where it destroys cancer cells.
  • Therefore, the correct answer is B, "I131".

MCQs 3:

How does the rate of disintegration of a radioactive element change over time?





Topic: Radioactive Decay Rate

Correct Answer: A) Decreases exponentially with time

Detailed Hint:
  • The principle highlighted in this question is the nature of radioactive decay, specifically its rate of disintegration over time.
  • The rate of radioactive decay, or disintegration, is a measure of how quickly the atoms within a sample are decaying.
  • According to the theory of radioactive decay, the rate of disintegration decreases exponentially with time, not linearly or inversely, and it does not remain constant.
  • Consequently, the correct answer is A, "Decreases exponentially with time".

MCQs 4:

What is the half-life of Uranium-238?





Topic: Radioactive Half-Life

Correct Answer: D) 4.5 × 10⁹ years

Detailed Hint:
  • This question deals with the concept of half-life, which is a term used in nuclear physics to describe the time it takes for half of a sample of radioactive material to decay.
  • In the case of Uranium-238, one of the isotopes of uranium, its half-life is significantly longer than that of Uranium-239.
  • The half-life of Uranium-238 is about 4.5 × 10⁹ years, which is much longer than options A, B, and C.
  • Thus, the correct answer is D, "4.5 × 10⁹ years".

MCQs 5:

For a radioactive substance with a half-life period of 0.693 years, what would its decay constant be?





Topic: Decay Constants in Radioactive Decay

Correct Answer: D) 1 year-1

Detailed Hint:
  • The question refers to the concept of decay constants in the context of radioactive decay. The decay constant is a measure of the rate at which a radioactive substance decays.
  • The decay constant, often represented by λ, is calculated as λ = 0.693/t1/2, where t1/2 is the half-life of the radioactive substance.
  • Given a half-life of 0.693 years, the decay constant becomes λ = 0.693/0.693, which simplifies to λ = 1 year-1.
  • Therefore, the correct answer is D, "1 year-1".

MCQs 6:

Given that the half-life of radium is 1600 years, in what time frame would the Earth lose all its radium due to radioactive decay?





Topic: Radioactive Decay Period

Correct Answer: D) Never

Detailed Hint:
  • This question is centered on the concept of radioactive half-life and full decay period.
  • Radioactive decay is a process that occurs over an extensive period of time. Despite a specific half-life, a radioactive element never completely decays to zero due to its exponential decay nature.
  • Thus, theoretically, the Earth will never lose all its radium due to radioactive decay.
  • Therefore, the correct answer is D, "Never".

MCQs 7:

What is the required condition for nuclear fusion to occur?





Topic: Conditions for Nuclear Fusion

Correct Answer: A) High temperature and high pressure

Detailed Hint:
  • This question is based on the conditions necessary for nuclear fusion to occur.
  • Nuclear fusion is a process where two or more atomic nuclei come together to form a larger nucleus. It requires a high temperature to provide the hydrogen atoms with sufficient energy to overcome the electrical repulsion between protons.
  • Additionally, high pressure is needed to bring the hydrogen atoms close enough together to fuse.
  • Therefore, the correct answer is A, "High temperature and high pressure".

Question 8:

If only one-eighth of the original mass of a specific radioactive isotope remains undecayed after an hour, what is the half-life of the isotope in minutes?





Topic: Half-life of Radioactive Isotopes

Correct Answer: B) 20 min

Detailed Hint:
  • The problem involves the principle of half-life in radioactive decay, where the half-life is the time required for half of a quantity of radioactive isotope to decay.
  • When only one-eighth of the original mass remains undecayed, it indicates that three half-lives have passed (since 1/8 is equivalent to (1/2)³).
  • Thus, the half-life can be calculated by dividing the total time by the number of half-lives. In this case, the half-life is 60 minutes / 3, which equals 20 minutes.
  • Therefore, the correct answer is B, "20 minutes".

Question 9:

Where can electrons be found?





Topic: Electron Location in Atoms

Correct Answer: B) They cannot be found inside the nucleus

Detailed Hint:
  • The question pertains to the structure of an atom, particularly the location of electrons.
  • Electrons are a fundamental component of atoms and are found in specific regions called electron shells, which surround the nucleus.
  • Therefore, electrons only exist outside the nucleus, making option B the correct answer.

Question 10:

What is the approximate percentage of the original quantity of a radioactive material that remains after five half-lives?





Topic: Remaining Quantity after Radioactive Decay

Correct Answer: A) 3%

Detailed Hint:
  • The question explores the concept of half-life and how much of a radioactive material remains after a certain number of half-lives.
  • After each half-life, the original quantity of the radioactive material is reduced by half. Therefore, after five half-lives, the remaining quantity is (1/2)⁵, which equals 1/32.
  • To convert this fraction to a percentage, multiply by 100, leading to approximately 3%.
  • Thus, the correct answer is A, "3%".

Question 11:

What is the appropriate measurement unit for the decay constant?





Topic: Measurement Unit for Decay Constant

Correct Answer: B) s^-1

Detailed Hint:
  • This question deals with understanding the correct unit for measuring the decay constant in radioactive decay processes.
  • The decay constant is represented by λ and is calculated using the formula λ = (ΔN/N)/Δt.
  • The unit of the decay constant is inverse seconds (s^-1) since it involves the division of particle count by time.
  • Therefore, option B, "s^-1," is the correct answer.

Question 12:

Assuming an element has a half-life of 7 days at standard temperature and pressure (STP), if the temperature is doubled and pressure is halved, what will be the half-life of the element?





Topic: Effects of Temperature and Pressure on Half-Life

Correct Answer: B) 7 days

Detailed Hint:
  • This question is designed to test your understanding of the impact of environmental conditions, such as temperature and pressure, on the half-life of a radioactive element.
  • The half-life of a radioactive element is independent of external conditions and depends only on the inherent properties of the element.
  • Therefore, regardless of the changes in temperature and pressure, the half-life remains the same, i.e., seven days.
  • Hence, option B is the correct answer.

Question 13:

If the half-life of substance X is 100μs, how long will it take for the radioactivity of a sample of X to decay to 1/16th of its initial value?





Topic: Time Required for Radioactive Decay

Correct Answer: D) 400 μs

Detailed Hint:
  • This question requires an understanding of the concept of half-life and its application in determining the time taken for a sample to decay to a specific fraction of its initial value.
  • Given that the half-life of the sample is 100μs, and to decay to 1/16th of its initial value, four half-lives are required (since (1/2)⁴ equals 1/16).
  • Therefore, the total time needed will be the half-life of the sample multiplied by four, which results in 400μs, making option D the correct answer.

Question 14:

What is the fundamental principle behind the workings of a Hydrogen bomb?





Topic: Principle of Hydrogen Bomb

Correct Answer: A) Uncontrolled Fusion

Detailed Hint:
  • The question aims to ascertain your knowledge about the core principle that drives the functioning of a Hydrogen bomb.
  • A hydrogen bomb operates on the concept of uncontrolled nuclear fusion. In this process, the nuclei of two light atoms combine to create a new nucleus.
  • Thus, the correct answer is A, "Uncontrolled Fusion".

Question 15:

What is the remaining active quantity of a radioactive substance after one hour, given that its half-life is 20 minutes?





Topic: Remaining Active Quantity of Radioactive Substance

Correct Answer: A) 1/8

Detailed Hint:
  • This question requires an understanding of the concept of half-life and how it's used to determine the remaining quantity of a radioactive substance after a certain period.
  • Given the half-life of the substance is 20 minutes, three half-lives will have passed in one hour (60 minutes).
  • Therefore, the remaining quantity will be (1/2)³, which equals 1/8. So, the correct answer is A, "1/8".

Question 16:

Which element holds the title of being the lightest in the universe?





Topic: Lightest Element in the Universe

Correct Answer: B) Hydrogen

Detailed Hint:
  • The question seeks to test your knowledge about the fundamental elements in the universe, specifically the lightest one.
  • Hydrogen, with an atomic number of 1, has the simplest atomic structure, making it the lightest element in the universe.
  • Therefore, the correct answer is B, "Hydrogen".

Question 17:

What can be said about the decay constant λ of a radioactive sample?





Topic: Radioactive Decay Constant

Correct Answer: C) It remains the same regardless of the atomic age

Detailed Hint:
  • The question tests your understanding of the decay constant λ in a radioactive sample.
  • The decay constant is a characteristic of the radioactive sample and does not change with the age of the atoms.
  • Hence, the correct choice is C, indicating that the decay constant λ is independent of the atomic age.

Question 18:

One curie is roughly equivalent to the number of α-particles emitted from how much mass of radium?





Topic: Radioactive Measurement Unit - Curie

Correct Answer: A) 1 gm

Detailed Hint:
  • The question gauges your knowledge about Curie, a unit used in the measurement of radioactivity.
  • Originally, one Curie was defined in relation to the α-particles emitted by one gram of radium.
  • Thus, option A, "1 gm", is the correct answer.

Question 19:

The disintegration process of a radioactive element can be classified as?





Topic: Radioactive Disintegration

Correct Answer: B) Sporadic

Detailed Hint:
  • This question aims to evaluate your understanding of the nature of radioactive decay.
  • It is important to note that radioactive decay is a random process, unaffected by physical or chemical changes.
  • Therefore, option B, "Sporadic", best describes the disintegration of a radioactive element.

Question 20:

In the human body, where does Cobalt predominantly get absorbed?





Topic: Absorption of Cobalt in the Human Body

Correct Answer: B) Liver

Detailed Hint:
  • This question assesses your knowledge about the absorption of specific elements like Cobalt in the human body.
  • It is widely recognized that the liver can naturally absorb Cobalt, used as a source of Gamma-ray.
  • Consequently, the correct answer is B, "Liver".

Question 21:

Consider a uranium mass of 400g. After passing through 3 half-lives, what amount of uranium will remain?





Topic: Half-life Calculation of Uranium

Correct Answer: A) 50g

Detailed Hint:
  • This question checks your comprehension of half-life calculations for radioactive substances, in this case, uranium.
  • After three half-lives, the un-decayed uranium mass would be (1/2)³ * initial mass, or 1/8 * 400g, which equals 50g.
  • Thus, option A, "50g", is the correct answer.

Question 22:

Radioactivity is primarily linked with which of the following phenomena?





Topic: Phenomenon Associated with Radioactivity

Correct Answer: A) Nuclear decay

Detailed Hint:
  • This question seeks to evaluate your understanding of the core phenomenon linked with radioactivity.
  • Radioactivity is essentially a nuclear process, closely associated with nuclear decay.
  • As a result, the correct answer is A, "Nuclear decay".

Question 23:

A radioactive nuclide initially holds N0 nuclei within a source. After three half-lives have passed, how many of these nuclei have undergone decay?





Topic: Nuclide Decay after Three Half-Lives

Correct Answer: C) 7/8 of N0

Detailed Hint:
  • This question assesses your comprehension of the behavior of radioactive nuclides over multiple half-lives.
  • After three half-lives, the remaining undecayed nuclei would be (1/2)³ * N0, or 1/8 * N0.
  • Consequently, the decayed nuclei can be calculated as the initial amount N0 minus the remaining undecayed nuclei, giving 7/8 * N0.

Question 24:

If an element possesses a half-life of 10 seconds, what would be its mean life?





Topic: Mean Life Calculation

Correct Answer: A) 14.4 seconds

Detailed Hint:
  • This question aims to test your understanding of the relationship between half-life and mean life of a radioactive element.
  • The mean life (Tmean) is calculated as 1.44 times the half-life (T1/2). Here, Tmean = 1.44 * 10 seconds = 14.4 seconds.
  • Hence, the correct answer is A, "14.4 seconds".

Question 25:

What substance is primarily produced as a result of nuclear fusion?





Topic: Product of Nuclear Fusion

Correct Answer: C) Helium

Detailed Hint:
  • This question examines your knowledge of the main product of nuclear fusion, a process that primarily occurs in the sun's core.
  • In the fusion process, two hydrogen nuclei combine to form a helium nucleus: 1H2 + 1H2 ⟶ 2H4.
  • Therefore, the correct answer is C, "Helium".

Question 26:

Radium has a half-life of 1600 years. After 6400 years have elapsed, what fraction of a radium sample would still remain undecayed?





Topic: Half-life Calculation of Radium

Correct Answer: D) 1/16

Detailed Hint:
  • This question probes your understanding of how radioactive substances like radium behave over a particular number of half-lives.
  • The total time of 6400 years represents 4 half-lives (6400/1600).
  • The remaining un-decayed radium fraction can be calculated as (1/2)⁴, which equals 1/16.

Question 27:

Cobalt 60, used in medical procedures, is known to be a strong source of which type of radiation?





Topic: Type of Radiation Emitted by Cobalt 60

Correct Answer: D) γ-rays

Detailed Hint:
  • This question checks your knowledge about the types of radiation emitted by specific elements, such as Cobalt 60.
  • Cobalt 60 is utilized in medicine due to its strong emission of γ-radiation.
  • Consequently, the correct answer is D, "γ-rays".

Question 28:

A polonium (Po) sample's activity fell to one-eighth of its original value after 420 days. What is polonium's half-life?





Topic: Half-Life Determination of Polonium

Correct Answer: A) 140 days

Detailed Hint:
  • This question aims to evaluate your understanding of how to calculate half-lives from decay data.
  • The activity reduction to one-eighth signifies that three half-lives have passed, as (1/2)³ equals 1/8.
  • Therefore, a single half-life is 420 days divided by 3, which equals 140 days.

Question 29:

Which process results in the formation of a heavier atom through the combination of two lighter atoms?






Topic: Process of Forming Heavier Atoms

Correct Answer: C) Nuclear Fusion

Detailed Hint:
  • This question is gauging your understanding of nuclear reactions and the processes through which heavier atoms are formed.
  • Nuclear fusion is the process in which two or more smaller, lighter nuclei combine to form a larger, heavier nucleus, releasing an enormous amount of energy in the process.
  • Thus, the correct answer is C, "Nuclear Fusion".

Question 30:

After 4 hours of disintegration, only 1/16th part of a radioactive substance remains undecayed. What is the half-life of this substance?





Topic: Calculation of Half-Life of a Radioactive Substance

Correct Answer: A) 1 hour

Detailed Hint:
  • This question is designed to test your ability to calculate the half-life of a radioactive substance based on a given decay rate.
  • The given condition, N=(1/2)ⁿ*N₀, implies that 4 half-lives have passed since the remaining fraction is 1/16 (as (1/2)⁴ equals 1/16).
  • Therefore, each half-life is 1 hour (4 hours/4 half-lives).
  • Consequently, the correct answer is A, "1 hour".