Nuclear and Particle Physics MCQs Question and Answer in Engineering Physics

31

Which of the following expressions for total binding energy B of a nucleus is correct (a₁, a₂, a₃, a₄ > 0?

A) $$B = {a_1}A - {a_2}{A^{2/3}} - {a_3}\frac{{Z\left( {Z - 1} \right)}}{{{A^{1/3}}}} - {a_4}\frac{{{{\left( {A - 2Z} \right)}^2}}}{A} + \delta $$ B) $$B = {a_1}A + {a_2}{A^{2/3}} - {a_3}\frac{{Z\left( {Z - 1} \right)}}{{{A^{1/3}}}} - {a_4}\frac{{{{\left( {A - 2Z} \right)}^2}}}{A} + \delta $$ C) $$B = {a_1}A + {a_2}{A^{1/3}} - {a_3}\frac{{Z\left( {Z - 1} \right)}}{{{A^{1/3}}}} - {a_4}\frac{{{{\left( {A - 2Z} \right)}^2}}}{A} + \delta $$ D) $$B = {a_1}A - {a_2}{A^{1/3}} - {a_3}\frac{{Z\left( {Z - 1} \right)}}{{{A^{1/3}}}} - {a_4}\frac{{{{\left( {A - 2Z} \right)}^2}}}{A} + \delta $$

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Answer & Solution

Answer: Option A

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32

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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Answer & Solution

Answer: Option D

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33

According to the shell model the ground state spin of the ¹⁷O nucleus is

A) $$\frac{{{3^ + }}}{2}$$ B) $$\frac{{{5^ + }}}{2}$$ C) $$\frac{{{3^ - }}}{2}$$ D) $$\frac{{{5^ - }}}{2}$$

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Answer & Solution

Answer: Option B

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34

Two spin-1/2 fermions having spins $$\overrightarrow {{S_1}} $$ and $$\overrightarrow {{S_2}} $$ interact via a potential $$V\left( r \right) = \overrightarrow {{S_1}} .\overrightarrow {{S_2}} \,{V_0}\left( r \right).$$ The contributions of this potential in the singlet and triplet states, respectively are

A) $$ - \frac{3}{2}{V_0}\left( r \right){\text{ and }}\frac{1}{2}{V_0}\left( r \right)$$ B) $$\frac{1}{2}{V_0}\left( r \right){\text{ and }} - \frac{3}{2}{V_0}\left( r \right)$$ C) $$\frac{1}{4}{V_0}\left( r \right){\text{ and }} - \frac{3}{4}{V_0}\left( r \right)$$ D) $$ - \frac{3}{4}{V_0}\left( r \right){\text{ and }}\frac{1}{4}{V_0}\left( r \right)$$

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Answer & Solution

Answer: Option C

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35

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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Answer & Solution

Answer: Option C

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36

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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Answer & Solution

Answer: Option B

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37

Match the reactions on the left with the associated interactions on the right.

1. π⁺ → μ⁺ + v_μ	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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Answer & Solution

Answer: Option A

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38

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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Answer & Solution

Answer: Option D

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39

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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Answer & Solution

Answer: Option D

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40

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)

A) 1.28 × 10¹⁰ K B) 1.28 × 10⁹ K C) 1.28 × 10⁸ K D) 1.28 × 10⁷ K

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Answer & Solution

Answer: Option C

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