Nuclear and Particle Physics MCQs Question and Answer in Engineering Physics Page-4 section-1

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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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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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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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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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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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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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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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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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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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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1. π⁺ → μ⁺ + v_μ	i. Strong
2. π⁰ → γ + γ	ii. Electromagnetic
3. π⁰ → n → π^- + p	iii. Weak

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?

Answer & Solution

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?

Answer & Solution

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

Answer & Solution

Answer & Solution

35. A stationary particle in free space is observed to spontaneously decay into two photons. This implies that

Answer & Solution

36. Nuclear forces are

Answer & Solution

37. 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

Answer & Solution

38. A neutron passing through a detector is detected because of

Answer & Solution

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

Answer & Solution

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)

Answer & Solution

31.
Which of the following expressions for total binding energy B of a nucleus is correct (a₁, a₂, a₃, a₄ > 0?

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?

33.
According to the shell model the ground state spin of the ¹⁷O nucleus is

35.
A stationary particle in free space is observed to spontaneously decay into two photons. This implies that

36.
Nuclear forces are

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

38.
A neutron passing through a detector is detected because of

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

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)