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. \(X\)

Subtopic:  Nucleus |
 82%
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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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 |
 84%
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 |
 68%
From NCERT
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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

Subtopic:  Nuclear Binding Energy |
 71%
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:  Types of Decay |
 88%
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:  Nuclear Binding Energy |
 66%
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:  Nuclear Binding Energy |
 83%
From NCERT
AIPMT - 2006
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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 |
 85%
From NCERT
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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 |
 81%
From NCERT
NEET - 2011
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