ROUTERA


Nuclei

Class 12th Physics Chapter Assertion and Reason


Assertion and Reason Questions Chapter-13 Nuclei

Assertion (A) and other labelled Reason (R). Select the correct answer to these questions from the options as given below.

A. Both A and R are true, and R is the correct explanation of A.

B. Both A and R are true, but R is not the correct explanation of A.

C. A is true, but R is false.

D. A is false, but R is true.


1. Assertion (A): The nucleus of an atom is positively charged.

Reason (R): The nucleus contains protons, which have a positive charge.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The nucleus consists of protons (positively charged) and neutrons (neutral), resulting in an overall positive charge.

2. Assertion (A): Neutrons play a crucial role in the stability of a nucleus.

Reason (R): Neutrons contribute to the strong nuclear force without repulsion.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Neutrons help bind protons together through the strong nuclear force without adding repulsive forces.

3. Assertion (A): Nuclear fission can release a large amount of energy.

Reason (R): The binding energy of the resulting nuclei is greater than that of the original nucleus.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The release of energy during fission is due to the formation of products with higher binding energy per nucleon.

4. Assertion (A): The mass of a nucleus is less than the sum of the masses of its constituent protons and neutrons.

Reason (R): This mass difference is due to the binding energy of the nucleus.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The mass defect results from binding energy, which accounts for the energy released when a nucleus is formed.

5. Assertion (A): Radioactive decay is a random process.

Reason (R): The half-life of a radioactive substance is a constant.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The randomness of decay events leads to a predictable average time (half-life) for a large number of atoms.

6. Assertion (A): Alpha particles have a greater mass than beta particles.

Reason (R): Alpha particles consist of two protons and two neutrons.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Alpha particles are helium nuclei, making them significantly heavier than beta particles, which are electrons.

7. Assertion (A): The strong nuclear force is responsible for holding the nucleus together.

Reason (R): The strong force acts only at very short distances, typically on the order of femtometers.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The short-range nature of the strong nuclear force is crucial for binding nucleons within the nucleus.

8. Assertion (A): In beta decay, a neutron is converted into a proton.

Reason (R): This process emits a beta particle and an antineutrino.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The conversion of a neutron to a proton results in the emission of an electron (beta particle) and an antineutrino.

9. Assertion (A): The energy released in nuclear reactions is often measured in MeV.

Reason (R): The MeV scale is more suitable for nuclear processes than joules.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The energy changes in nuclear reactions are typically large but small compared to atomic-scale energies, hence MeV is a more convenient unit.

10. Assertion (A): The half-life of a radioactive isotope is not affected by external conditions.

Reason (R): Half-life is an intrinsic property of the isotope.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The half-life of a substance is a fixed characteristic and does not change with pressure, temperature, or chemical state.

11. Assertion (A): Nuclear fusion occurs at extremely high temperatures.

Reason (R): High temperatures provide sufficient energy to overcome the electrostatic repulsion between nuclei.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The high kinetic energy of particles at elevated temperatures allows them to collide with enough energy to fuse.

12. Assertion (A): The concept of binding energy per nucleon helps in understanding nuclear stability.

Reason (R): Higher binding energy per nucleon indicates a more stable nucleus.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Nuclei with higher binding energy per nucleon are less likely to undergo decay or fission, indicating greater stability.

13. Assertion (A): Fission and fusion reactions can both release energy.

Reason (R): Both processes involve changes in binding energy.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Energy is released in both processes due to the change in binding energy as nucleons are rearranged.

14. Assertion (A): The emission of gamma rays does not change the atomic number of the nucleus.

Reason (R): Gamma emission involves a transition to a lower energy state.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Gamma decay occurs without a change in proton or neutron numbers, merely releasing energy.

15. Assertion (A): Heavy nuclei are more likely to undergo fission.

Reason (R): The strong nuclear force is insufficient to counteract electromagnetic repulsion in heavy nuclei.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: In heavy nuclei, the repulsion between protons can lead to instability, resulting in fission.

16. Assertion (A): A stable nucleus has a specific ratio of neutrons to protons.

Reason (R): This ratio varies for different elements and determines nuclear stability.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Each element has an optimal neutron-to-proton ratio that maximizes stability.

17. Assertion (A): The stability of a nucleus can be assessed using the liquid drop model.

Reason (R): The liquid drop model treats the nucleus like a droplet of incompressible fluid.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The liquid drop model accounts for volume and surface energy, providing insights into nuclear stability.

18. Assertion (A): The strong nuclear force operates between all nucleons.

Reason (R): The strong force is much stronger than the electromagnetic force at short ranges.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The strong force binds protons and neutrons effectively, overcoming electromagnetic repulsion.

19. Assertion (A): Nuclear reactions can be initiated by bombarding nuclei with neutrons.

Reason (R): Neutrons are uncharged and can penetrate the nucleus without being repelled.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The neutral charge of neutrons allows them to approach the nucleus closely and induce reactions.

20. Assertion (A): Nuclear reactions are not limited by the energy levels of the reactants.

Reason (R): The energy released in nuclear reactions is significantly higher than in chemical reactions.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Nuclear energy changes are orders of magnitude larger than typical chemical reactions, allowing reactions to proceed even at lower reactant energies.

21. Assertion (A): The mass-energy equivalence principle explains the energy release in nuclear reactions.

Reason (R): Mass can be converted into energy according to E=m \(\ c^{2}\).

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Mass lost during nuclear reactions is converted into energy, which is accounted for by the mass-energy equivalence.

22. Assertion (A): The critical mass of a fissile material is necessary for a chain reaction.

Reason (R): A chain reaction occurs only when enough material is present to sustain it.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Insufficient mass leads to fewer reactions, preventing the sustained energy release characteristic of a chain reaction.

23. Assertion (A): Isotopes of an element have different nuclear stability.

Reason (R): Stability is influenced by the ratio of neutrons to protons in the nucleus.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Different isotopes may have different neutron-to-proton ratios, affecting their stability and half-lives.

24. Assertion (A): Alpha decay results in the loss of two protons and two neutrons from the nucleus.

Reason (R): Alpha particles are identical to helium nuclei.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The emitted alpha particle indeed corresponds to a helium nucleus, leading to a decrease in both mass and atomic number.

25. Assertion (A): Nuclear decay can be detected using a Geiger counter.

Reason (R): Geiger counters are sensitive to ionizing radiation emitted during decay.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Geiger counters detect ionization caused by radiation, making them suitable for measuring radioactive decay.

26. Assertion (A): The binding energy of a nucleus increases with the number of nucleons.

Reason (R): More nucleons contribute to stronger interactions.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (b)
    Explanation: While binding energy generally increases with nucleons, it does not increase linearly due to saturation effects.

27. Assertion (A): The mass defect is crucial in calculating nuclear binding energy.

Reason (R): The binding energy is the energy required to disassemble a nucleus into its constituent nucleons.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The mass defect directly relates to the binding energy, representing the energy equivalent of the mass lost during nucleus formation.

28. Assertion (A): Nuclear reactors utilize fission reactions to generate electricity.

Reason (R): Fission releases heat, which is used to produce steam for turbines.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The heat generated from fission reactions drives steam turbines, converting thermal energy into electrical energy.

29. Assertion (A): The neutron-to-proton ratio is critical for determining nuclear stability.

Reason (R): Nuclei with too many or too few neutrons compared to protons tend to be unstable.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: A balanced neutron-to-proton ratio is essential for stability; deviations lead to decay processes to achieve stability.

30. Assertion (A): The nuclear shell model describes nucleon arrangement in the nucleus.

Reason (R): Nucleons occupy discrete energy levels similar to electrons in an atom.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The nuclear shell model explains the configuration of nucleons in shells, influencing nuclear properties and stability.

31. Assertion (A): The process of nucleosynthesis occurs in stars.

Reason (R): Fusion reactions in stars create heavier elements from lighter ones.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Stars fuse hydrogen and helium to form heavier elements, a process fundamental to the formation of the universe's elements.

32. Assertion (A): The liquid drop model and the shell model are both essential for understanding nuclear physics.

Reason (R): Each model addresses different aspects of nuclear behavior.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: While the liquid drop model focuses on bulk properties, the shell model explains the arrangement and energy levels of nucleons.

33. Assertion (A): Nuclear energy can be harnessed for peaceful purposes.

Reason (R): Nuclear technology is used for electricity generation, medicine, and research.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Nuclear technology has numerous applications beyond weaponry, including in energy production and medical treatments.

34. Assertion (A): Nuclear magnetic resonance (NMR) uses properties of atomic nuclei.

Reason (R): NMR is a technique based on the absorption of electromagnetic radiation by nuclei in a magnetic field.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: NMR exploits the magnetic properties of certain nuclei, making it a powerful tool in chemistry and medicine.

35. Assertion (A): The principle of conservation of nucleon number applies in nuclear reactions.

Reason (R): The total number of nucleons before and after a reaction remains constant.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: In nuclear reactions, the sum of protons and neutrons is conserved, ensuring nucleon number balance.

36. Assertion (A): The stability of a nucleus can change under extreme conditions.

Reason (R): High energy inputs can lead to nuclear reactions and instability.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: High-energy environments, such as those in stars or during collisions, can induce reactions that alter nuclear stability.

37. Assertion (A): Nuclear reactions can produce both heavy and light nuclei.

Reason (R): The type of reaction determines the resulting products.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Different nuclear reactions, like fission and fusion, yield various nuclear products based on the initial conditions and reactants.

38. Assertion (A): The average binding energy per nucleon generally increases with atomic mass up to iron.

Reason (R): Heavier nuclei have greater nuclear forces acting on them.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Up to iron, more nucleons result in a stronger average binding energy due to increased strong force interactions.

39. Assertion (A): Nuclei with even numbers of protons and neutrons are usually more stable.

Reason (R): Pairing effects lead to greater nuclear stability.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Pairing of protons and neutrons reduces energy levels, enhancing stability in even-even nuclei compared to odd-odd nuclei.

40. Assertion (A): The decay of radioactive materials is a first-order process.

Reason (R): The rate of decay is proportional to the remaining quantity of the substance.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: In first-order decay processes, the decay rate is directly related to the amount of material remaining, consistent with the exponential decay law.

41. Assertion (A): In beta decay, a neutron is converted into a proton.

Reason (R): An electron is emitted along with an antineutrino during this process.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: During beta decay, a neutron changes into a proton, resulting in the emission of an electron (beta particle) and an antineutrino.

42. Assertion (A): The half-life of a radioactive isotope is constant and unique to each isotope.

Reason (R): Half-life does not change with the amount of substance present.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Half-life is an inherent property of isotopes, remaining the same regardless of the quantity of material.

43. Assertion (A): Nuclear fusion has the potential to provide almost limitless energy.

Reason (R): Fusion reactions produce more energy than fission reactions.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Fusion reactions, such as those occurring in the sun, release substantial energy, making them a promising source of power.

44. Assertion (A): High-energy gamma rays can penetrate matter deeply.

Reason (R): Gamma rays have no mass and no charge, allowing them to bypass material barriers.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The lack of mass and charge in gamma rays allows them to penetrate materials more effectively than other forms of radiation.

45. Assertion (A): Neutrons play a crucial role in sustaining nuclear fission reactions.

Reason (R): Neutrons initiate further fission reactions by colliding with other nuclei.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Neutrons released from fission events can cause additional fission, leading to a chain reaction essential for reactor operation.

46. Assertion (A): Nuclear decay chains can lead to the formation of stable isotopes.

Reason (R): A series of decays transforms unstable isotopes into stable ones over time.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Through successive decays, unstable parent isotopes eventually yield stable daughter isotopes.

47. Assertion (A): Radioactive decay follows a predictable pattern over time.

Reason (R): The decay constant for a radioactive substance is unique and constant.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The unique decay constant defines the rate of decay, allowing for predictions about remaining quantities over time.

48. Assertion (A): Nuclear reactions can release large amounts of energy compared to chemical reactions.

Reason (R): The energy changes in nuclear reactions are due to changes in binding energy.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The significant energy release in nuclear reactions arises from the differences in binding energy associated with nuclear forces.

49. Assertion (A): Uranium-235 is commonly used as fuel in nuclear reactors.

Reason (R): Uranium-235 is a fissile isotope capable of sustaining a chain reaction.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The fission of Uranium-235 releases energy and neutrons, making it suitable for maintaining a chain reaction in reactors.

50. Assertion (A): The process of alpha decay decreases the mass of the nucleus.

Reason (R): An alpha particle consists of two protons and two neutrons.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Alpha decay reduces the nucleus's mass and atomic number by emitting an alpha particle, which is a helium nucleus.