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Q. No.Binding energy per nucleon of a fixed nucleus \({}^{A}\mathrm{X}\) is \(8\) MeV. It absorbs a neutron moving with kinetic energy \(4\) MeV and converts into \(Y\) emitting a photon of energy \(2\) MeV. The binding energy per nucleon of \(Y\) (in MeV) is:
1. \(\frac{8 A + 2}{A + 1}\)
2. \(\frac{8 A - 2}{A + 1}\)
3. \(\frac{8 A - 1}{A + 1}\)
4. \(\frac{8 A}{A + 1}\)
Subtopic: Nuclear Binding Energy |
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The statement which is incorrect about nuclear force between two protons is?
| 1. | These are always attractive forces. |
| 2. | These are non-central forces. |
| 3. | These are charge independent. |
| 4. | These are short-range forces. |
Subtopic: Nuclear Energy |
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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 |
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If the density of gold nucleus is \(X\), then the density of 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 |
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A nucleus with mass number \(220\) initially at rest emits an \(\alpha\text-\)particle. If the \(Q\) value of the reaction is \(5.5\) MeV, then the kinetic energy of \(\alpha\text-\)particle is:
1. \(4.4\) meV
2. \(5.4\) MeV
3. \(5.6\) MeV
4. \(6.5\) MeV
Subtopic: Nuclear Binding Energy |
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After two alpha decays and four beta(-ve) decays, the atomic number:
| 1. | Decreases by \(4\) and mass number remains same. |
| 2. | Remains the same but the mass number increases by \(4\). |
| 3. | Remains the same but mass number decreases by \(8\). |
| 4. | Increases but mass number remains same. |
Subtopic: Types of Decay |
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\({}_{8}^{19}\mathrm{O}\rightarrow {}_{9}^{19}\mathrm{F}+\mathrm{A}+\mathrm{B}\)
In the given decay equation, \(\mathrm{A}\) and \(\mathrm{B}\) indicate:
In the given decay equation, \(\mathrm{A}\) and \(\mathrm{B}\) indicate:
| 1. | Electron and antineutrino |
| 2. | Positron and antineutrino |
| 3. | Positron and neutrino |
| 4. | Electron and positron |
Subtopic: Types of Decay |
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If the nuclear density of the material of atomic mass \(27\) is \(3\rho _{0},\) then the nuclear density of the material of atomic mass \(125\) is:
1. \(5\rho_0\)
2. \(3\rho_0\)
3. \(\frac{5}{3}\rho_0\)
4. \(\rho_0\)
1. \(5\rho_0\)
2. \(3\rho_0\)
3. \(\frac{5}{3}\rho_0\)
4. \(\rho_0\)
Subtopic: Nucleus |
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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 |
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Two nuclei fuse together to form a single nucleus as \({}_{1}^{2}\mathrm{A}+ {}_{1}^{2}\mathrm{A}\rightarrow{}_{2}^{4}\mathrm{B}\) If binding energy per nucleon of \(A\) and \(B\) are respectively \(x\) and \(y\), then the energy released in the process is:
| 1. | \(4x+4y\) | 2. | \(4x-4y\) |
| 3. | \(4y-4x\) | 4. | \(y-x\) |
Subtopic: Nuclear Binding Energy |
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