Suppose that a neutron at rest in free space decays into a proton and an electron. This process would violate
A. conservation of charge
B. conservation of energy
C. conservation of linear momentum
D. conservation of angular momentum
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A thermal neutron having speed v impinges on a 235 U nucleus. The reaction cross-section is proportional to
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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).
A. V ( r ) = r a + b r
B. V ( r ) = − r a + b r
C. V ( r ) = r a − b r
D. V ( r ) = − r a − b r
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The experimentally measured spin g factors of proton and a neutron indicate that
A. both proton and neutron are elementary point particles
B. both proton and neutron are not elementary point particles
C. while proton is an elementary point particle, neutron is not
D. while neutron is an elementary point particle, proton is not
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An O16 nucleus is spherical and has a charge radius R and a volume V = 3 4 π R 3 . According to the empirical observations of the charge radii, the volume of the 54 128 Xe nucleus assumed to be spherical is
A. 8 V
B. 2 V
C. 6.75 V
D. 1.89 V
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The spin and parity of 4 9 Be nucleus as predicted by the shell model are respectively
A. 3/2 and odd
B. 1/2 and odd
C. 3/2 and even
D. 1/2 and even
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The evidence for the non-conservation of parity β in β-decay has been obtained from the observation that the β intensity
A. antiparallel to the nuclear spin directions is same as that along the nuclear spin direction
B. antiparallel to the nuclear spin direction is not the same as that along the nuclear spin direction
C. shows a continuous distribution as a function of momentum
D. is independent of the nuclear spin direction
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The masses of a hydrogen atom, neutron and 92 238 U are given by 1.0078, 1.0087 and 238.0508 respectively. The binding energy of 92 238 U is therefore approximately equal to (taking 1 amu = 931.64 MeV)
A. 120 MeV
B. 1500 MeV
C. 1600 MeV
D. 1800 MeV
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Which one of the following nuclear reactions is possible?
A. 7 14 N → 6 13 C + β + + v c
B. 7 13 N → 6 13 C + β + + v c
C. 7 13 N → 6 13 C + β +
D. 7 13 N → 7 13 C + β + + v c
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The asymmetry terms in the Weizsacker semi-empirical mass formula is because of
A. non-spherical shape of the nucleus
B. non-zero spin-of nucleus
C. unequal number of protons and neutrons inside the nucleus
D. odd number of protons inside the nucleus
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In the quark model which one of the following represents a proton?
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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
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A relativistic particle travels a length of 3 × 10-3 m in air before decaying. The decay process of the particle is dominated by
A. strong interactions
B. electromagnetic interactions
C. weak interactions
D. gravitational interactions
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Pick the wrong statement.
A. The nuclear force is independent of electric charge
B. The Yukawa potential is proportional to r − 1 exp ( h m c r ) , where r is the separation between two nucleons
C. The range of nuclear force is of the order of 10-15 m - 10-14 m
D. The nucleons interact among each other by the exchange of mesons
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The strange Baryon ∑ + has the quark structure
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According to the shell model, the ground state of 8 15 O nucleus is
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The nuclear spins of 6 14 C and 12 25 Mg nuclei are respectively,
A. zero and half integer
B. half integer and zero
C. an integer and half integer
D. both half integers
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A heavy nucleus is found to contain more neutrons than protons. This fact is related to which one of the following statements:
A. The nuclear force between neutrons is stronger than that between protons
B. 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
C. Protons are unstable, so their number in a nucleus diminishes
D. It costs more energy to add a proton to a (heavy) nucleus than a neutron because of the Coulomb repulsion between protons
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Let ∣ n ⟩ and ∣ p ⟩ denote the isospin state with I = 2 1 , I 3 = 2 1 and I = 2 1 , I 3 = − 2 1 of a nucleon respectively. Which one of the following two-nucleon states has I = 0 , I 3 = 0 ?
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Typical energies released in a nuclear fission and a nuclear fusion reactions are respectively
A. 50 MeV and 1000 MeV
B. 200 MeV and 1000 MeV
C. 1000 MeV and 50 MeV
D. 200 MeV and 10 MeV
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