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Nuclei

Board » Bihar Board » Class 12th » English Medium » Science » Physics » L-9: Nuclei

Objective Questions (MCQs)

Question
Multiple Choice
ID- 15530

1. The equivalent energy of 1 g of substance is:

  • (A) $9\, ×\, 10^{13}\, J $
  • (B) $6\, ×\, 10^{12}\, J $
  • (C) $3\, ×\, 10^{13}\, J $
  • (D) $6\, ×\, 10^{13}\, J $
Multiple Choice
ID- 15531

2. An electron emitted in beta radiation originates from:

  • (A) inner orbits of atom
  • (B) free electrons existing in the nuclei
  • (C) decay of a neutron in a nuclei
  • (D) photon escaping from the nucleus
Multiple Choice
ID- 15532

3. Order of magnitude of density of uranium nucleus is:

  • (A) 10$^{20}$ kg m$^{-5}$
  • (B) 10$^{17}$ kg m$^{-3}$
  • (C) 10$^{13}$ kg m$^{-3}$
  • (D) 10$^{11}$ kg m$^{-3}$
Multiple Choice
ID- 15533

4. The half life of a radioactive substance is 20 s, the time taken for the sample to decay by $7/8^{th}$ of its initial value is:

  • (A) 20 s
  • (B) 40 s
  • (C) 60 s
  • (D) 80 s
Multiple Choice
ID- 15534

5. Radon has 3.8 days as its half-life. How much radon will be left out of 15 mg mass after 38 days.

  • (A) 1.05 mg
  • (B) 0.015 mg
  • (C) 0.231 mg
  • (D) 0.50 mg
Multiple Choice
ID- 15535

6. Which of the following cannot be emitted by radioactive substances during their decay?

  • (A) Neutrons
  • (B) Protons
  • (C) Electrons
  • (D) Helium nuclei
Multiple Choice
ID- 15536

7. The half life of a radioactive substance is 30 days. What is the time taken to distintegrate to $3/4^{th}$ of its original mass?

  • (A) 30 days
  • (B) 15 days
  • (C) 60 days
  • (D) 90 days
Multiple Choice
ID- 15537

8. How much mass has to be converted into energy to produce electric power of 500 MW for one hour?

  • (A) 2 × 10$^{-5}$ kg
  • (B) 1 × 10$^{-5}$ kg
  • (C) 3 × 10$^{-5}$ kg
  • (D) 4 × 10$^{-5}$ kg
Multiple Choice
ID- 15538

9. The half life of polonium is 140 days. In what time will 15 g of polonium be disintegrated out of its initial mass of 16 g?

  • (A) 230 days
  • (B) 560 days
  • (C) 730 days
  • (D) 160 days
Multiple Choice
ID- 15539

10. In a sample of radioactive material, what fraction of the initial number of active nuclei will remain undisintegrated after half of the half life of the sample?

  • (A) $\frac{1}{4}$
  • (B) $\frac{1}{2\sqrt{2}}$
  • (C) $\frac{1}{\sqrt{2}}$
  • (D) $\sqrt{2} - 1$
Multiple Choice
ID- 15540

11. The set which represents the isotope, isobar and isotone respectively is:

  • (A) $\ce{(^{2}_{1}H, ^{3}_{1}H), (^{197}_{70}Au, ^{199}_{80}Hg) and (^{3}_{2}He, ^{2}_{1}H)}$
  • (B) $\ce{(^{3}_{2}He, ^{1}_{1}H), (^{197}_{79}Au, ^{198}_{80}Hg) and (^{1}_{1}H, ^{3}_{1}H)}$
  • (C) $\ce{(^{3}_{2}He, ^{3}_{1}H), (^{2}_{1}H, ^{3}_{1}H) and (^{197}_{79}Au, ^{198}_{80}Hg)}$
  • (D) $\ce{(^{2}_{1}H, ^{3}_{1}H), (^{3}_{2}He, ^{3}_{1}H) and (^{197}_{79}Au, ^{198}_{80}Hg)}$
Multiple Choice
ID- 15541

12. The natural boron of atomic weight 10.81 is found to have two isotopes $^{10}$B and $^{11}$B. The ratio of abundance of isotopes of natural boron should be:

  • (A) 11 : 10
  • (B) 81 : 19
  • (C) 10 : 11
  • (D) 19 : 81
Multiple Choice
ID- 15542

13. Two nuclei have their mass numbers in the ratio of 1 : 3. The ratio of their nuclear densities would be:

  • (A) (3)$^{1/3}$ : 1
  • (B) 1 : 1
  • (C) 1 : 3
  • (D) 3 : 1
Multiple Choice
ID- 15543

14. A 280 day old radioactive substance shows an activity of 6000 dps. 140 days later its activity becomes 3000 dps. What was its initial activity?

  • (A) 20000 dps
  • (B) 24000 dps
  • (C) 12000 dps
  • (D) 6000 dps
Multiple Choice
ID- 15544

15. Fast neutrons can easily be slowed down by:

  • (A) the use of lead shielding
  • (B) passing them through water
  • (C) elastic collisions with heavy nuclei
  • (D) applying a strong electric field
Multiple Choice
ID- 15545

16. Complete the series $\ce{^{6}H_e \rightarrow e^{+} + ^{6}Li^{+}}$:

  • (A) neutrino
  • (B) antineutrino
  • (C) proton
  • (D) neutron
Multiple Choice
ID- 15546

17. Light energy emitted by star is due to:

  • (A) breaking of nuclei
  • (B) joining of nuclei
  • (C) burning of nuclei
  • (D) reflection of solar light
Multiple Choice
ID- 15572

18. In nuclear reaction, there is conversation of:

  • (A) mass only
  • (B) energy only
  • (C) momentum only
  • (D) mass, energy and momentum
Multiple Choice
ID- 15573

19. Carbon dating is the best suited determining the age of fossils, if their age in years is of the order of:

  • (A) $10^{3}$
  • (B) $10^{4}$
  • (C) $10^{5}$
  • (D) $10^{6}$
Multiple Choice
ID- 15574

20. The half life of radioactive radon is 3.8 days. The time at the end of which $(1/20)^{th}$ of the radon sample will remain undecayed $(\text{Given } log_{10}e = 0.4343)$ is:

  • (A) 3.8 days
  • (B) 16.5 days
  • (C) 33 days
  • (D) 76 days
Multiple Choice
ID- 15575

21. The half life period of a radioactive element $X$ is same as the mean life time of another radioactive element $Y$. Initially, they have the same number of atoms. Then:

  • (A) $X$ and $Y$ decay at same rate always
  • (B) $X$ will decay faster than $Y$
  • (C) $Y$ will decay faster than $X$
  • (D) $X$ and $Y$ have same decay rate initially
Multiple Choice
ID- 15576

22. If the binding energy per nucleon of deuterium is 1.115 MeV, its mass defect in atomic mass unit is:

  • (A) 0.0048
  • (B) 0.0024
  • (C) 0.0012
  • (D) 0.0006
Multiple Choice
ID- 15577

23. Pick up the incorrect statement for the nucleus from the following:

  • (A) $β^-$ emission from the nucleus is always accompanied with a neutrino
  • (B) The energy of the $α$-particle emitted from a given nucleus is always constant
  • (C) $γ$-ray emission makes the nucleus more stable
  • (D) Nuclear force is charge-independent
Multiple Choice
ID- 15578

24. The radius of a spherical nucleus as measured by electron scattering is 3.6 fm. What is the mass number of the nucleus most likely to be?

  • (A) 27
  • (B) 40
  • (C) 56
  • (D) 120
Multiple Choice
ID- 15579

25. If in a nuclear fusion reaction, mass defect is 0.3%, then energy released in fusion of 1 kg mass:

  • (A) $\ce{27\, × 10^{10} J}$
  • (B) $\ce{27\, × 10^{11} J}$
  • (C) $\ce{27\, × 10^{12} J}$
  • (D) $\ce{27\, × 10^{13} J}$
Multiple Choice
ID- 15580

26. The radio of the nuclear radii of the gold isotope $\ce{^{197}_{79}Au}$ and silver isotope $\ce{^{107}_{47}Ag}$ is:

  • (A) 1.23
  • (B) 0.216
  • (C) 2.13
  • (D) 3.46
Multiple Choice
ID- 15582

27. When a nucleus is an atom undergoes a radioactive decay, the electronic energy levels of the atom:

  • (A) do not change for any type of radioactivity
  • (B) change for α and β radioactivity but not for γ-radioactivity
  • (C) change for α-radioactivity but not for others
  • (D) change for β-radioactivity but not for others
Multiple Choice
ID- 15600

28. A radioactive decay can form an isotope of the original nucleus with the emission of particles:

  • (A) one α and four β
  • (B) one α and two β
  • (C) one α and one β
  • (D) four α and one β
Multiple Choice
ID- 15601

29. Fission of nuclei is possible because of the binding energy per nucleon in them:

  • (A) increases with mass number at low mass numbers
  • (B) decreases with mass number at low mass numbers
  • (C) increases with mass number at high mass numbers
  • (D) decreases with mass number at high mass numbers
Multiple Choice
ID- 15602

30. The number of β-particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an:

  • (A) isomer of parent
  • (B) isotone of parent
  • (C) isotope of parent
  • (D) isobar of parent
Multiple Choice
ID- 15603

31. During negative β decay, an antineutrino is also emitted along with the emitted electron. Then,

  • (A) only linear momentum will be conserved
  • (B) total linear momentum and total angular momentum but not total energy will be conserved
  • (C) total linear momentum and total energy but not total angular momentum will be conserved
  • (D) total linear momentum, total angular momentum and total energy will be conserved
Multiple Choice
ID- 15604

32. Plutonium decays with a half-life of 24000 years. If plutonium is stored for 72000 years, the fraction of it that remains is:

  • (A) 1/8
  • (B) 1/3
  • (C) 1/4
  • (D) 1/2
Multiple Choice
ID- 15605

33. In nuclear reactors, the control rods are made of:

  • (A) cadmium
  • (B) graphite
  • (C) krypton
  • (D) plutonium
Multiple Choice
ID- 15606

34. Nuclear force is:

  • (A) strong, short range and charge independent force
  • (B) charge independent, attractive and long range force
  • (C) strong, charge dependent and short range attractive force
  • (D) long range, change dependent and attractive force
Multiple Choice
ID- 15607

35. If radioactive nuclei emit $\beta$-particle, then mass-number:

  • (A) increases by 1 unit
  • (B) decreases by 1 unit
  • (C) increases by 2 unit
  • (D) decreases by 2 unit
Multiple Choice
ID- 15608

36. An alpha particle is emitted from $\ce{_{88}Ra^{226}}$, then the product nuclei have:

  • (A) Z = 84, A = 224
  • (B) Z = 86, A = 224
  • (C) Z = 86, A = 222
  • (D) Z = 82, A = 222
Multiple Choice
ID- 15609

37. $X$-ray was discovered by:

  • (A) Becqueral
  • (B) Marie curie
  • (C) Roengton
  • (D) Vanlaw
Multiple Choice
ID- 15610

38. Fusion takes place at high temperatures because:

  • (A) Atom are ionised at high temperature
  • (B) Molecules break up at high temperature
  • (C) Nuclei break up at high temperature
  • (D) Kinetic energy is high enough to overcome repulsion between nuclei
Multiple Choice
ID- 15611

39. The order of nuclear density is:

  • (A) $10^{3}$
  • (B) $10^{17}$
  • (C) $10^{6}$
  • (D) None
Multiple Choice
ID- 15612
BSEB, 2018 (C)

40. If $R$ is the radius and $A$ is the mass of a nucleus then the graph of $\ce{log R}$ versus $\ce{log A}$ will be:

  • (A) A straight line
  • (B) A parabola
  • (C) An Ellipse
  • (D) None of these
Multiple Choice
ID- 15613
BSEB, 2017 (A), 2019 (A)

41. The time in which a radioactive substance becomes half of its initial amount is called:

  • (A) average life
  • (B) half-life
  • (C) time-period
  • (D) decay constant
Multiple Choice
ID- 15614

42. Mass is converted into energy according to the relation:

  • (A) $\ce{E = mc^2}$
  • (B) $\ce{E = mgh}$
  • (C) $\ce{E = \frac{1}{2}mc^{2}}$
  • (D) $\ce{E = \frac{mgh}{c^{2}}}$
Multiple Choice
ID- 15615

43. The helium atom does not contain:

  • (A) two protons
  • (B) two electrons
  • (C) two neutrons
  • (D) six nucleons
Multiple Choice
ID- 15616

44. The more readily fissionable isotope of uranium has an atomic mass of:

  • (A) 234
  • (B) 235
  • (C) 236
  • (D) 238
Multiple Choice
ID- 15617

45. The energy of an electron in the 1st orbit of the H-atom is:

  • (A) -13.6 MeV
  • (B) -13.6 eV
  • (C) -13.6 J
  • (D) 13.6 J
Multiple Choice
ID- 15618

46. The mass no. of a nucleus is M and it's atomic no. is Z. The number of neutrons in the nucleus is:

  • (A) M - Z
  • (B) M
  • (C) Z
  • (D) M + Z
Multiple Choice
ID- 15619

47. The phenomenon of radioactivity is:

  • (A) Exothermic change with increase or decrease with temperature
  • (B) increase on applied pressure
  • (C) nuclear process does not depend on external factors
  • (D) None of these
Multiple Choice
ID- 15620

48. When 1 gm of mass is converted into energy, it is equal to:

  • (A) $\ce{10^{3} \text{kWh}}$
  • (B) $\ce{10^{9} \text{kWh}}$
  • (C) $\ce{10^{10} \text{kWh}}$
  • (D) $\ce{10^{11} \text{kWh}}$
Multiple Choice
ID- 15621

49. A nucleus $\ce{^{12}_{6}C}$ absorbs an energetic neutron and emits a $\beta$-particle the resulting nucleus is:

  • (A) $\ce{^{14}_{7}N}$
  • (B) $\ce{^{13}_{7}N}$
  • (C) $\ce{^{13}_{6}C}$
  • (D) $\ce{^{12}_{5}B}$
Multiple Choice
ID- 15622

50. By emission of which of the following element remains unchanged:

  • (A) $\alpha$-decay
  • (B) $\beta^{+}$-decay
  • (C) $\beta$-decay
  • (D) $\gamma$-decay
Multiple Choice
ID- 15623

51. The average binding energy of a nucleon inside an atomic nucleus is about:

  • (A) 8 eV
  • (B) 8 MeV
  • (C) 8 J
  • (D) 8 ergs
Multiple Choice
ID- 15624

52. In the following reaction, $y$ is : $\ce{_{3}Li^{7} + _{1}H^{1} + _{2}He^{4} + y}$

  • (A) $\ce{_{2}He^{4}}$
  • (B) $\ce{_{0}n^{1}}$
  • (C) $\ce{_{1}D^{2}}$
  • (D) $\ce{_{1}H^{3}}$
Multiple Choice
ID- 15625

53. $\ce{_{5}B^{10}}$ is bombarded with neutrons so that an alpha particle is emitted. The residual nucleus is:

  • (A) $\ce{_{3}Li^{7}}$
  • (B) $\ce{_{1}D^{2}}$
  • (C) $\ce{_{1}H^{3}}$
  • (D) $\ce{_{0}n^{1}}$
Multiple Choice
ID- 15626

54. A radioactive element $\ce{_{90}X^{238}}$ decays into $\ce{_{83}Y^{222}}$. The number of $\beta$-particles emitted are:

  • (A) 6
  • (B) 4
  • (C) 2
  • (D) 1
Multiple Choice
ID- 15627

55. For stability of any nucleus:

  • (A) B.E. (Binding Energy) per nucleon will be higher
  • (B) B.E. (Binding Energy) per nucleon will be less
  • (C) no. of electrons will be more
  • (D) None of these
Multiple Choice
ID- 15628

56. Packing fraction for a nucleus is given as:

  • (A) $\frac{M - A}{A}$
  • (B) $\frac{M + A}{A}$
  • (C) $\frac{M}{A}$
  • (D) $\frac{A}{M}$
Multiple Choice
ID- 15629

57. Who discovered heavy Hydrogen?

  • (A) Uray
  • (B) Thomson
  • (C) Mosley
  • (D) Fermi
Multiple Choice
ID- 15630

58. The frequency of revolution of the electron in the first stationary orbit of the H-atom is:

  • (A) $\ce{6.57 × 10^{12} Hz}$
  • (B) $\ce{6.57 × 10^{13} Hz}$
  • (C) $\ce{6.57 × 10^{14} Hz}$
  • (D) $\ce{6.57 × 10^{15} Hz}$
Multiple Choice
ID- 15631

59. What percentage of the original radioactive atom is left after four half-lives?

  • (A) 6%
  • (B) 10%
  • (C) 20%
  • (D) 25%
Multiple Choice
ID- 15632

60. Which of the following is not a mode of radioactive decay?

  • (A) positron emission
  • (B) electron capture
  • (C) fusion
  • (D) alpha decay
Multiple Choice
ID- 15633

61. The most suitable element for nuclear fission is the element with atomic mass near:

  • (A) 11
  • (B) 21
  • (C) 52
  • (D) 92
Multiple Choice
ID- 15634

62. With increasing quantum number, the energy differences between adjacent energy levels in atoms:

  • (A) increases
  • (B) decreases
  • (C) remains constant
  • (D) first increases then decreases
Multiple Choice
ID- 15635
BSEB, 2017 (A)

63. $\beta$-rays are reflected in:

  • (A) Gravitational field
  • (B) Only in magnetic field
  • (C) Only in electrical field
  • (D) In magnetic and electric field both
Multiple Choice
ID- 15636
BSEB, 2017 (A)

64. Which one of the following is a charge less particle?

  • (A) Alpha particle
  • (B) Beta particle
  • (C) Photon
  • (D) Neutron
Multiple Choice
ID- 15637
BSEB, 2018 (A)

65. The number of Photons of frequency $10^{14}$ Hz in the radiation of 6.62 J will be:

  • (A) $10^{10}$
  • (B) $10^{15}$
  • (C) $10^{20}$
  • (D) $10^{25}$
Multiple Choice
ID- 15638
BSEB, 2018 (A)

66. The quantities, which remain conserved in a nuclear reaction:

  • (A) Total Charge
  • (B) Angular momentum
  • (C) Linear momentum
  • (D) All the above
Multiple Choice
ID- 15639
BSEB, 2020 (A)

67. Atomic number decreases with the emission of $\alpha$-particles from the nucleus:

  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4
Multiple Choice
ID- 15640
BSEB, 2020 (A)

68. Cathode rays are:

  • (A) electrons
  • (B) neutrons
  • (C) protons
  • (D) photons
Multiple Choice
Verified
ID- 15641
BSEB, 2020 (A)

69. The least stable nucleus is:

  • (A) $\ce{^{4}_{2}He}$
  • (B) $\ce{^{12}_{6}C}$
  • (C) $\ce{^{16}_{8}O}$
  • (D) $\ce{^{56}_{26}Fe}$
Multiple Choice
Verified
ID- 15642
BSEB, 2020 (A)

70. $\gamma$-rays are similar to:

  • (A) $\alpha$-rays
  • (B) $\beta$-rays
  • (C) cathode rays
  • (D) $X$-rays
Multiple Choice
Verified
ID- 15643
BSEB, 2020 (A)

71. $\beta$-rays are fast-moving:

  • (A) photons
  • (B) protons
  • (C) electrons
  • (D) neutrons
Multiple Choice
Verified
ID- 15644
BSEB, 2020 (A)

72. Density of nucleus is about:

  • (A) $\ce{2.29\, × 10^{7} Kg m^{-3}}$
  • (B) $\ce{2.29\, × 10^{-7} Kg m^{-3}}$
  • (C) $\ce{2.29\, × 10^{17} Kg m^{-3}}$
  • (D) $\ce{2.29\, × 10^{-17} Kg m^{-3}}$
Multiple Choice
Verified
ID- 15645
BSEB, 2020 (A)

73. Which of the relations is correct for a radioactive atom?

  • (A) Half-life = Average life
  • (B) Half-life = 2 × Average life
  • (C) Half-life = 1.6931 × Average life
  • (D) Half-life = 0.6931 × Average life
Multiple Choice
Verified
ID- 15646
BSEB, 2019 (C)

74. A nucleus of element $\ce{^{202}_{84}X}$ first emits $\alpha$-particle and then $\beta$-particle. The atomic number of resultant nucleus is:

  • (A) 82
  • (B) 83
  • (C) 80
  • (D) 198