Nuclear And Particle Physics MCQ

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• To explain the observed magnetic moment of deuteron (0.8574 μ_N), its ground state wavefunction is taken to be an admixture of S and D states. The expectation values of the z component of the magnetic moment in pure S and pure D states are 0.8797 μ_N and 0.3101 μ_N respectively. The contribution of the D state to the mixed ground state is approximately
  ক

  40%

  খ

  4%

  গ

  0.4%

  ঘ

  0.04%
• The nucleus of the atom $${}_4^9{\text{Be}}$$  consists of
  ক

  13 up quarks and 13 down quarks

  খ

  13 up quarks and 14 down quarks

  গ

  14 up quarks and 13 down quarks

  ঘ

  14 up quarks and 14 down quarks
• The following gives a list of pairs containing<br>i. a nucleus<br>ii. one of its properties<br>Find the pair which is inappropriate
  ক

  i. $${}_{10}^{20}{\text{Ne}}$$  nucleus; ii. stable nucleus

  খ

  i. A spheroidal nucleus; ii. an electric quadrupole moment

  গ

  i. $${}_8^{16}{\text{O}}$$  nucleus; ii. nuclear spin $$J = \frac{1}{2}$$

  ঘ

  i. ²³⁸U nucleus; ii. Binding energy = 1785 MeV (approximately)
• Weak nuclear forces act on
  ক

  both hadrons and leptons

  খ

  hadrons only

  গ

  all particles

  ঘ

  all charged particles
• As one moves along the line of stability from ⁵⁶Fe to ²³⁵U nucleus, the nuclear binding energy per particle decreases from about 8.8 MeV to 7.6 MeV. This trend is mainly due to the
  ক

  short range nature of the nuclear forces

  খ

  long range nature of the Coulomb forces

  গ

  tensor nature of the nuclear forces

  ঘ

  spin dependence of the nuclear forces
• The plot of log A vs time t, where A is activity as shown in the figure, corresponds to decay<br><img src="/images/question-image/engineering-physics/nuclear-and-particle-physics/1689672505-the-plot-of-log-a-vs-time-t.png" title="Nuclear and Particle Physics mcq question image" alt="Nuclear and Particle Physics mcq question image">
  ক

  from only one kind of radioactive nuclei having same half life

  খ

  from only neutron activated nuclei

  গ

  from a mixture of radioactive nuclei having different half lives

  ঘ

  which is unphysical
• The order of magnitude of the binding energy per nucleon in a nucleus is
  ক

  10^-5 MeV

  খ

  10^-3 MeV

  গ

  0.1 MeV

  ঘ

  10 MeV
• By capturing an electron, $${}_{25}^{54}{\text{M}}{{\text{n}}_{29}}$$  transforms into $${}_{25}^{54}{\text{C}}{{\text{r}}_{30}}$$  releasing
  ক

  a neutrino

  খ

  an antineutrino

  গ

  an α-particle

  ঘ

  a positron
• In a Stern-Gerlach experiment, the magnetic field is in +Z direction. A particle comes out of this experiment in $$\left| { + {\bf{\hat z}} \uparrow &gt; } \right.$$  state. Which of the following statements are true?
  ক

  The particle has a definite value of the y component of the spin angular momentum

  খ

  The particle has a definite value of the square of the spin angular momentum

  গ

  The particle has a definite value of the x component of spin angular momentum

  ঘ

  The particle has a definite values of x and y components of spin angular momentum
• To detect trace amounts of a gaseous species in a mixture of gases, the preferred probing tools is
  ক

  ionization spectroscopy with X-rays

  খ

  NMR spectroscopy

  গ

  ESR spectroscopy

  ঘ

  laser spectroscopy
• Typical energies released in a nuclear fission and a nuclear fusion reactions are respectively
  ক

  50 MeV and 1000 MeV

  খ

  200 MeV and 1000 MeV

  গ

  1000 MeV and 50 MeV

  ঘ

  200 MeV and 10 MeV
• Let $$\left| n \right\rangle $$ and $$\left| p \right\rangle $$ denote the isospin state with $$I = \frac{1}{2},\,{I_3} = \frac{1}{2}$$   and $$I = \frac{1}{2},\,{I_3} = - \frac{1}{2}$$   of a nucleon respectively. Which one of the following two-nucleon states has $$I = 0,\,{I_3} = 0\,?$$
  ক

  $$\frac{1}{{\sqrt 2 }}\left( {\left| {nn} \right\rangle - \left| {pp} \right\rangle } \right)$$

  খ

  $$\frac{1}{{\sqrt 2 }}\left( {\left| {nn} \right\rangle + \left| {pp} \right\rangle } \right)$$

  গ

  $$\frac{1}{{\sqrt 2 }}\left( {\left| {np} \right\rangle - \left| {pn} \right\rangle } \right)$$

  ঘ

  $$\frac{1}{{\sqrt 2 }}\left( {\left| {np} \right\rangle + \left| {pn} \right\rangle } \right)$$
• A heavy nucleus is found to contain more neutrons than protons. This fact is related to which one of the following statements:
  ক

  The nuclear force between neutrons is stronger than that between protons

  খ

  The nuclear force between protons is of a shorter range than those between neutrons, so that a smaller number of protons are held together by the nuclear force

  গ

  Protons are unstable, so their number in a nucleus diminishes

  ঘ

  It costs more energy to add a proton to a (heavy) nucleus than a neutron because of the Coulomb repulsion between protons
• The nuclear spins of $${}_6^{14}{\text{C}}$$  and $${}_{12}^{25}{\text{Mg}}$$  nuclei are respectively,
  ক

  zero and half integer

  খ

  half integer and zero

  গ

  an integer and half integer

  ঘ

  both half integers
• According to the shell model, the ground state of $${}_8^{15}{\text{O}}$$  nucleus is
  ক

  $$\frac{{{3^ + }}}{2}$$

  খ

  $$\frac{{{1^ + }}}{2}$$

  গ

  $$\frac{{{3^ - }}}{2}$$

  ঘ

  $$\frac{{{1^ - }}}{2}$$
• The strange Baryon $${\sum {} ^ + }$$  has the quark structure
  ক

  uds

  খ

  uud

  গ

  uus

  ঘ

  $${\text{u}}\overline {\text{s}} $$
• A relativistic particle travels a length of 3 × 10^-3 m in air before decaying. The decay process of the particle is dominated by
  ক

  strong interactions

  খ

  electromagnetic interactions

  গ

  weak interactions

  ঘ

  gravitational interactions
• A nucleus having mass number 240 decays by α-emission to the ground state of its daughter nucleus. The Q value of the process is 5.26 MeV. The energy (in MeV) of the α particle is
  ক

  5.26

  খ

  5.17

  গ

  5.13

  ঘ

  5.09
• In the quark model which one of the following represents a proton?
  ক

  udd

  খ

  uud

  গ

  $${\text{u}}\overline {\text{b}} $$

  ঘ

  $${\text{c}}\overline {\text{c}} $$
• The asymmetry terms in the Weizsacker semi-empirical mass formula is because of
  ক

  non-spherical shape of the nucleus

  খ

  non-zero spin-of nucleus

  গ

  unequal number of protons and neutrons inside the nucleus

  ঘ

  odd number of protons inside the nucleus
• Which one of the following nuclear reactions is possible?
  ক

  $${}_7^{14}N \to {}_6^{13}C + {\beta ^ + } + {v_c}$$

  খ

  $${}_7^{13}N \to {}_6^{13}C + {\beta ^ + } + {v_c}$$

  গ

  $${}_7^{13}N \to {}_6^{13}C + {\beta ^ + }$$

  ঘ

  $${}_7^{13}N \to {}_7^{13}C + {\beta ^ + } + {v_c}$$
• The masses of a hydrogen atom, neutron and $${}_{92}^{238}{\text{U}}$$  are given by 1.0078, 1.0087 and 238.0508 respectively. The binding energy of $${}_{92}^{238}{\text{U}}$$  is therefore approximately equal to (taking 1 amu = 931.64 MeV)
  ক

  120 MeV

  খ

  1500 MeV

  গ

  1600 MeV

  ঘ

  1800 MeV
• The evidence for the non-conservation of parity β in β-decay has been obtained from the observation that the β intensity
  ক

  antiparallel to the nuclear spin directions is same as that along the nuclear spin direction

  খ

  antiparallel to the nuclear spin direction is not the same as that along the nuclear spin direction

  গ

  shows a continuous distribution as a function of momentum

  ঘ

  is independent of the nuclear spin direction
• The spin and parity of $${}_4^9{\text{Be}}$$  nucleus as predicted by the shell model are respectively
  ক

  3/2 and odd

  খ

  1/2 and odd

  গ

  3/2 and even

  ঘ

  1/2 and even
• An O¹⁶ nucleus is spherical and has a charge radius R and a volume $${\text{V}} = \frac{4}{3}\pi {{\text{R}}^3}.$$   According to the empirical observations of the charge radii, the volume of the ₅₄¹²⁸Xe nucleus assumed to be spherical is
  ক

  8 V

  খ

  2 V

  গ

  6.75 V

  ঘ

  1.89 V
• The experimentally measured spin g factors of proton and a neutron indicate that
  ক

  both proton and neutron are elementary point particles

  খ

  both proton and neutron are not elementary point particles

  গ

  while proton is an elementary point particle, neutron is not

  ঘ

  while neutron is an elementary point particle, proton is not
• Which of the following functions describes the nature of interaction potential V(r) between two quarks inside a nucleon? (r is the distance between the quarks and a and b positive constants of suitable dimensions).
  ক

  $$V\left( r \right) = \frac{a}{r} + br$$

  খ

  $$V\left( r \right) = - \frac{a}{r} + br$$

  গ

  $$V\left( r \right) = \frac{a}{r} - br$$

  ঘ

  $$V\left( r \right) = - \frac{a}{r} - br$$
• A thermal neutron having speed v impinges on a ²³⁵U nucleus. The reaction cross-section is proportional to
  ক

  v^-1

  খ

  v

  গ

  v^1/2

  ঘ

  v^-1/2
• Suppose that a neutron at rest in free space decays into a proton and an electron. This process would violate
  ক

  conservation of charge

  খ

  conservation of energy

  গ

  conservation of linear momentum

  ঘ

  conservation of angular momentum
• The threshold temperature above which the thermonuclear reaction $${}_2^3{\text{He}} + {}_2^3{\text{He}} \to {}_2^4{\text{He}} + 2{}_1^1{\text{He}} + 12.86{\text{ MeV}}$$       can occur is (use e²/4πε₀ = 1.44 × 10^-15 MeV-m)
  ক

  1.28 × 10¹⁰ K

  খ

  1.28 × 10⁹ K

  গ

  1.28 × 10⁸ K

  ঘ

  1.28 × 10⁷ K