Which of the following reactions violates lepton number conservation?
A. e + + e − → ν + ν
B. e − + p → ν + n
C. e + + n → p + ν
D. μ − → e − + ν + ν
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Fission fragments are generally radioactive as
A. they have excess of neutrons
B. they have excess of protons
C. they are products of radioactive nuclides
D. their total kinetic energy is of the order of 200 MeV
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In the nuclear shell model the spin parity of 15 N is given by
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The disintegration energy is defined to be the difference in the rest energy between the initial and final states. Consider the following process: 94 240 Pu → 92 236 U + 2 4 He
The emitted α-particle has a kinetic energy 5.17 MeV. The value of the disintegration energy is
A. 5.26 MeV
B. 5.17 MeV
C. 5.08 MeV
D. 2.59 MeV
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The volume of a nucleus in an atom is proportional to the
A. mass number
B. proton number
C. neutron number
D. electron number
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The interaction potential between two quarks, separated by a distance r inside a nucleon can be described by (a, b and β are positive constants)
A. a e − β r
B. r a + b r
C. − r a + b r
D. r a
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According to the Quark model, the K+ meson is composed which of the following quarks
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According to the single particle nuclear shell model, the spin parity of the ground state of 8 17 O is
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A ferromagnetic mixture of iron and copper having 75% atoms of Fe exhibits a saturation magnetization of 1.3 × 106 Am-1 . Assume that the total number of atoms per unit volume is 8 × 1028 m-3 . The magnetic moment of an iron atom in terms of the Bohr magneton is
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Which one of the following nuclear processes is forbidden?
A. v + p → n + e+
B. π- → e- + ve + π0
C. π- + p- → n + K+ + K-
D. μ- → e- + v e + vμ
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Which of the following expressions for total binding energy B of a nucleus is correct (a1 , a2 , a3 , a4 > 0?
A. B = a 1 A − a 2 A 2/3 − a 3 A 1/3 Z ( Z − 1 ) − a 4 A ( A − 2 Z ) 2 + δ
B. B = a 1 A + a 2 A 2/3 − a 3 A 1/3 Z ( Z − 1 ) − a 4 A ( A − 2 Z ) 2 + δ
C. B = a 1 A + a 2 A 1/3 − a 3 A 1/3 Z ( Z − 1 ) − a 4 A ( A − 2 Z ) 2 + δ
D. B = a 1 A − a 2 A 1/3 − a 3 A 1/3 Z ( Z − 1 ) − a 4 A ( A − 2 Z ) 2 + δ
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The ground state wave function of deuteron is in a superposition of s and d states. Which of the following is not true as a consequence?
A. It has a non-zero quadruple moment
B. The neutron-proton potential is non-central
C. The orbital wave function is not spherically symmetric
D. The Hamiltonian does not conserve that total angular momentum
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According to the shell model the ground state spin of the 17 O nucleus is
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Two spin-1/2 fermions having spins
S 1 and
S 2 interact via a potential
V ( r ) = S 1 . S 2 V 0 ( r ) . The contributions of this potential in the singlet and triplet states, respectively are
A. − 2 3 V 0 ( r ) and 2 1 V 0 ( r )
B. 2 1 V 0 ( r ) and − 2 3 V 0 ( r )
C. 4 1 V 0 ( r ) and − 4 3 V 0 ( r )
D. − 4 3 V 0 ( r ) and 4 1 V 0 ( r )
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A stationary particle in free space is observed to spontaneously decay into two photons. This implies that
A. the particle carries electric charge
B. the spin of the particle must be greater than or equal to 2
C. the particle is a boson
D. the mass of the particle must be greater than or equal to the mass of the hydrogen atom
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Nuclear forces are
A. spin dependent and have no non-central part
B. spin dependent and have a non-central part
C. spin independent and have no non-central part
D. spin independent and have a non-central part
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Match the reactions on the left with the associated interactions on the right.
1. π+ → μ+ + vμ
i. Strong
2. π0 → γ + γ
ii. Electromagnetic
3. π0 → n → π- + p
iii. Weak
A. 1-iii, 2-ii, 3-i
B. 1-i, 2-ii, 3-iii
C. 1-ii, 2-i, 3-iii
D. 1-iii, 2-i, 3-ii
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A neutron passing through a detector is detected because of
A. the ionization it produces
B. the scintillation light it produces
C. the electron-hole pairs it produces
D. the secondary particles produced in a nuclear reaction in the detector medium
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Half-life of a radioisotope is 4 × 108 years. If there are 103 radioactive nuclei in a sample today, the number of such nuclei in the sample 4 × 109 years ago were
A. 128 × 103
B. 256 × 103
C. 512 × 103
D. 1024 × 103
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The threshold temperature above which the thermonuclear reaction 2 3 He + 2 3 He → 2 4 He + 2 1 1 He + 12.86 MeV can occur is (use e2 /4πε0 = 1.44 × 10-15 MeV-m)
A. 1.28 × 1010 K
B. 1.28 × 109 K
C. 1.28 × 108 K
D. 1.28 × 107 K
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