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. \(\rho_0\)

Subtopic:  Nucleus |
 69%
From NCERT
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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:
1. Electron and antineutrino
2. Positron and antineutrino
3. Positron and neutrino
4. Electron and positron
Subtopic:  Types of Decay |
 66%
From NCERT
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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 |
 84%
From NCERT
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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 |
 56%
From NCERT
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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 |
 59%
From NCERT
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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. \(V\propto \frac{1}{M^3}\)

Subtopic:  Nucleus |
 77%
From NCERT
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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. \(X\)

Subtopic:  Nucleus |
 81%
From NCERT
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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 |
 70%
From NCERT
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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. \(E_b+ 3E_a=Q\)

Subtopic:  Nuclear Binding Energy |
 67%
From NCERT
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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 |
 71%
From NCERT
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