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Q. No.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 |
75%
Level 2: 60%+
Hints
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 |
73%
Level 2: 60%+
Hints
\({}_{8}^{19}\mathrm{O}\rightarrow {}_{9}^{19}\mathrm{F}+\mathrm{A}+\mathrm{B}\)
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 |
68%
Level 2: 60%+
Hints
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 |
85%
Level 1: 80%+
Hints
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. | \(\dfrac{8 A + 2}{A + 1}\) | 2. | \(\dfrac{8 A - 2}{A + 1}\) |
| 3. | \(\dfrac{8 A - 1}{A + 1}\) | 4. | \(\dfrac{8 A}{A + 1}\) |
Subtopic: Nuclear Binding Energy |
56%
Level 3: 35%-60%
Hints
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 |
63%
Level 2: 60%+
Hints
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 |
80%
Level 1: 80%+
Hints
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%+
Hints
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 |
72%
Level 2: 60%+
Hints
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%+
Hints
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