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 |
 83%
Level 1: 80%+

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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 |
 79%
Level 2: 60%+

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The stable nucleus that has a radius half of the radius of \(\mathrm{Fe}^{56}\) is:
1. \(\mathrm{Li}^7\)
2. \(\mathrm{Na}^{21}\)
3. \(\mathrm{S}^{16}\)
4. \(\mathrm{Ca}^{40}\)

Subtopic:  Nucleus |
 68%
Level 2: 60%+

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The energy equivalent of one atomic mass unit is:
1. \(1.6\times 10^{-19}~\text{J}\)
2. \(6.02\times 10^{23}~\text{J}\)
3. \(931~\text{MeV}\)
4. \(9.31~\text{MeV}\)

Subtopic:  Mass-Energy Equivalent |
 83%
Level 1: 80%+

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A nuclear reaction along with the masses of the particle taking part in it is as follows;
\(~~~~A ~~~~+~~~~~ B~~~~~ \rightarrow~~~~C ~~+~~~~ D~~~+~ ~Q~ ~\text{MeV}\\ \small{1.002~\text u~~~~~~~~ 1.004~\text u ~~~~~~~~~~~1.001~\text u~~~~~~1.003~\text u}\)
The energy \(Q\) liberated in the reaction is:
1. \(1.234~\text{MeV}\)
2. \(0.931~\text{MeV}\)
3. \(0.465~\text{MeV}\)
4. \(1.862~\text{MeV}\)

Subtopic:  Mass-Energy Equivalent |
 77%
Level 2: 60%+

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If an electron and a positron annihilate, then the energy released is:
1. \(3.2\times 10^{-13}~\text{J}\)
2. \(1.6\times 10^{-13}~\text{J}\)
3. \(4.8\times 10^{-13}~\text{J}\)
4. \(6.4\times 10^{-13}~\text{J}\)

Subtopic:  Mass-Energy Equivalent |
 64%
Level 2: 60%+

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The energy required in \(\text{MeV/c}^2 \) to separate \({ }_8^{16} \mathrm{O}\) into its constituents is:
(Given: mass defect for \({ }_8^{16} \mathrm{O}=0.13691~ \text{amu}\))

1. \(127.5\) 2. \(120.0\)
3. \(222.0\) 4. \(119.0\)
Subtopic:  Mass-Energy Equivalent |
 71%
Level 2: 60%+

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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:  Mass-Energy Equivalent |
 64%
Level 2: 60%+
NEET - 2020

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A nucleus represented by the symbol \({}_{Z}^{A}\mathrm{X}\) has:
1. \(Z\) protons and \(A-Z\) neutrons
2. \(Z\) protons and \(A\) neutrons
3. \(A\) protons and \(Z-A\) neutrons
4. \(Z\) neutrons and \(A-Z\) protons
Subtopic:  Nuclear Binding Energy |
 91%
Level 1: 80%+
AIPMT - 2004

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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 |
 86%
Level 1: 80%+

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