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Q. No.Choose the incorrect statements regarding binding energy per nucleon:
1.
Binding energy per nucleon is practically constant for nuclei with mass numbers between \(30\) and \(170\).
2.
Binding energy per nucleon is maximum for \(_{56}\mathrm{Fe}\) (equal to \(8.75~\text{MeV}\)).
3.
Binding energy per nucleon for \(_{6}\mathrm{Li}\) is lower compared to \(_{4}\mathrm{He}\).
4.
Higher the binding energy per nucleon, the more unstable is the nucleus.
Subtopic: Nuclear Binding Energy |
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Level 2: 60%+
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The nucleus \({ }_{6}^{12} \mathrm{C}\) absorbs an energetic neutron and emits \(\beta\text-\)particle. The resulting nucleus is:
| 1. | \({ }_{7}^{14} \mathrm{N}\) | 2. | \({ }_{5}^{13} \mathrm{B}\) |
| 3. | \({ }_{7}^{13} \mathrm{N}\) | 4. | \({ }_{6}^{13} \mathrm{C}\) |
Subtopic: Types of Decay |
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Fusion reaction takes place at a higher temperature because:
| 1. | atoms get ionized at high temperatures. |
| 2. | kinetic energy is high enough to overcome the Coulomb repulsion between nuclei. |
| 3. | molecules break up at a high temperature. |
| 4. | nuclei break up at a high temperature. |
Subtopic: Nuclear Energy |
82%
Level 1: 80%+
NEET - 2011
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Which of the following pairs of nuclei are isotones?
| 1. | \({}_{34}^{74}\mathrm{Se}, {}_{31}^{71}\mathrm{Ca}\) | 2. | \({}_{42}^{92}\mathrm{Mo}, {}_{40}^{92}\mathrm{Zr}\) |
| 3. | \({}_{38}^{81}\mathrm{Sr}, {}_{38}^{86}\mathrm{Sr}\) | 4. | \({}_{20}^{40}\mathrm{Ca}, {}_{16}^{32}\mathrm{S}\) |
Subtopic: Nuclear Binding Energy |
86%
Level 1: 80%+
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After two alpha decays and four beta(-ve) decays, the atomic number:
| 1. | decreases by \(4\) and the mass number remains the same. |
| 2. | remains the same but the mass number increases by \(4.\) |
| 3. | remains the same but the mass number decreases by \(8.\) |
| 4. | increases but the mass number remains the same. |
Subtopic: Types of Decay |
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Level 1: 80%+
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The volume \((V)\) of a nucleus is related to its mass \((M)\) as:
1. \(V\propto M\)
2. \(V\propto \frac{1}{M}\)
3. \(V\propto M^3\)
4. \(V\propto \frac{1}{M^3}\)
1. \(V\propto M\)
2. \(V\propto \frac{1}{M}\)
3. \(V\propto M^3\)
4. \(V\propto \frac{1}{M^3}\)
Subtopic: Nucleus |
79%
Level 2: 60%+
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If the density of the gold nucleus is \(X,\) then the density of the silver nucleus will be:
1. \(2X\)
2. \(\frac{X}{3}\)
3. \(4X\)
4. \(X\)
1. \(2X\)
2. \(\frac{X}{3}\)
3. \(4X\)
4. \(X\)
Subtopic: Nucleus |
83%
Level 1: 80%+
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If in nuclear reactor using \(\mathrm{U}^{235}\) as fuel, the power output is \(4.8\) MW, the number of fissions per second is:
(Energy released per fission of \(\mathrm{U}^{235}=200\) MeV watts, \(1~\text{eV}= 1.6\times 10^{-19}~\text{J})\)
(Energy released per fission of \(\mathrm{U}^{235}=200\) MeV watts, \(1~\text{eV}= 1.6\times 10^{-19}~\text{J})\)
| 1. | \(1.5\times 10^{17}\) | 2. | \(3\times 10^{19}\) |
| 3. | \(1.5\times 10^{25}\) | 4. | \(3\times 10^{25}\) |
Subtopic: Nuclear Energy |
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Level 2: 60%+
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The binding energies of the nuclei \(A\) and \(B\) are \(E_a\) and \(E_b\) respectively. If three atoms of the element \(B\) fuse to give one atom of element \(A\) and an energy \(Q\) is released, then \(E_a, E_b\) and \(Q\) are related as:
1. \(E_a-3E_b= Q\)
2. \(3E_b-E_a= Q\)
3. \(E_a+ 3E_b=Q\)
4. \(E_b+ 3E_a=Q\)
1. \(E_a-3E_b= Q\)
2. \(3E_b-E_a= Q\)
3. \(E_a+ 3E_b=Q\)
4. \(E_b+ 3E_a=Q\)
Subtopic: Nuclear Binding Energy |
70%
Level 2: 60%+
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If \(M(A,~Z)\), \(M_p\), and \(M_n\) denote the masses of the nucleus \(^{A}_{Z}X,\) proton, and neutron respectively in units of \(u\) \((1~u=931.5~\text{MeV/c}^2)\) and represent its binding energy \((BE)\) in \(\text{MeV}\). Then:
| 1. | \(M(A, Z) = ZM_p + (A-Z)M_n- \dfrac{BE}{c^2}\) |
| 2. | \(M(A, Z) = ZM_p + (A-Z)M_n+ BE\) |
| 3. | \(M(A, Z) = ZM_p + (A-Z)M_n- BE\) |
| 4. | \(M(A, Z) = ZM_p + (A-Z)M_n+ \dfrac{BE}{c^2}\) |
Subtopic: Mass-Energy Equivalent |
74%
Level 2: 60%+
AIPMT - 2008
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