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Q. No.The mass of a \({}_{3}^{7}\mathrm{Li}\) nucleus is \(0.042\) u less than the sum of the masses of all its nucleons. The binding energy per nucleon of the \({}_{3}^{7}\mathrm{Li}\) nucleus is near:
1. \(4.6\) MeV
2. \(5.6\) MeV
3. \(3.9\) MeV
4. \(23\) MeV
1. \(4.6\) MeV
2. \(5.6\) MeV
3. \(3.9\) MeV
4. \(23\) MeV
Subtopic: Â Nuclear Binding Energy |
 73%
From NCERT
AIPMT - 2010
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In the nuclear decay given below:
\({ }_Z^A \mathrm X \rightarrow{ }_{Z+1}^A \mathrm Y \rightarrow{ }_{Z-1}^{A-4} \mathrm B \rightarrow{ }_{Z-1}^{A-4} \mathrm B\)
the particles emitted in the sequence are:
| 1. | \(\beta, \alpha, \gamma \) | 2. | \(\gamma, \beta, \alpha \) |
| 3. | \(\beta, \gamma, \alpha \) | 4. | \(\alpha, \beta, \gamma\) |
Subtopic: Â Types of Decay |
 89%
From NCERT
AIPMT - 2009
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If \(M(A,Z)\), \(M_p\) and \(M_n\) denote the masses of the nucleus \({}_{Z}^{A}\mathrm{X}\), proton, and neutron respectively in units of u (\(1\) u = \(931.5\) MeV/c2) and \(BE\) represents its binding energy in MeV, then:
| 1. | \(M(A, Z)=ZM_p+(A-Z) M_n-B E / c^2\) |
| 2. | \({M}({A}, {Z})={ZM}_{p}+({A}-{Z}) {M}_{n}+{BE}\) |
| 3. | \(M(A, Z)=ZM_p+(A-Z) M_n-B E\) |
| 4. | \({M}({A}, {Z})={ZM}_{p}+({A}-{Z}) {M}_{n}+{BE/c}^2 \) |
Subtopic: Â Nuclear Binding Energy |
 70%
From NCERT
AIPMT - 2008
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The binding energy of deuteron is \(2.2\) MeV and that of \({}_{2}^{4}\mathrm{He}\) is \(28\) MeV. If two deuterons are fused to form one \({}_{2}^{4}\mathrm{He}\) then the energy released is:
| 1. | \(25.8\) MeV | 2. | \(23.6\) MeV |
| 3. | \(19.2\) MeV | 4. | \(30.2\) MeV |
Subtopic: Â Nuclear Binding Energy |
 84%
From NCERT
AIPMT - 2006
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The energy equivalent of \(0.5~\text g\) of a substance is:
1. \(4.5\times10^{13}~\text J\)
2. \(1.5\times10^{13}~\text J\)
3. \(0.5\times10^{13}~\text J\)
4. \(4.5\times10^{16}~\text J\)
Subtopic: Â Mass-Energy Equivalent |
 65%
From NCERT
NEET - 2020
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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: Â Nuclear Binding Energy |
 70%
From NCERT
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\(\alpha\text-\)particle consists of:
| 1. | \(2\) protons only |
| 2. | \(2\) protons and \(2\) neutrons only |
| 3. | \(2\) electrons, \(2\) protons, and \(2\) neutrons |
| 4. | \(2\) electrons and \(4\) protons only |
Subtopic: Â Types of Decay |
 75%
From NCERT
NEET - 2019
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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: Â Nucleus |
 84%
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. \(V\propto \frac{1}{M^3}\)
1. \(V\propto M\)
2. \(V\propto \frac{1}{M}\)
3. \(V\propto M^3\)
4. \(V\propto \frac{1}{M^3}\)
Subtopic: Â Nucleus |
 79%
From NCERT
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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: Â Types of Decay |
 85%
From NCERT
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