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Q. No.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 |
82%
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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: Nucleus |
78%
From NCERT
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Two nuclei have their mass numbers in the ratio of \(1:3.\) The ratio of their nuclear densities would be:
1. \(1:3\)
2. \(3:1\)
3. \((3)^{1/3}:1\)
4. \(1:1\)
Subtopic: Nucleus |
79%
From NCERT
AIPMT - 2008
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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. \(\mathrm{Ca}^{40}\)
1. \(\mathrm{Li}^7\)
2. \(\mathrm{Na}^{21}\)
3. \(\mathrm{S}^{16}\)
4. \(\mathrm{Ca}^{40}\)
Subtopic: Nucleus |
67%
From NCERT
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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 |
71%
From NCERT
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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. \(9.31~\text{MeV}\)
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%
From NCERT
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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. \(1.862~\text{MeV}\)
\(~~~~A ~~~~+~~~~~ B~~~~~ \rightarrow~~~~C ~~+~~~~ D~~~+~ ~Q~ ~\text{MeV}\\ \small{1.002~\text u~~~~~~~~ 1.004~\text u ~~~~~~~~~~~1.001~\text u~~~~~~1.003~\text u}\)
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 |
76%
From NCERT
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Determine the energy released in the process:
\({}_{1}^{2}\mathrm{H}+ {}_{1}^{2}\mathrm{H}\rightarrow {}_{2}^{4}\mathrm{He}+Q\)
Given: \(M\left({}_{1}^{2}\mathrm{H}\right)= 2.01471~\text{amu}, M\left({}_{2}^{4}\mathrm{He}\right)= 4.00388~\text{amu}\)
1. \(3.79\) MeV
2. \(13.79\) MeV
3. \(0.79\) MeV
4. \(23.79\) MeV
\({}_{1}^{2}\mathrm{H}+ {}_{1}^{2}\mathrm{H}\rightarrow {}_{2}^{4}\mathrm{He}+Q\)
Given: \(M\left({}_{1}^{2}\mathrm{H}\right)= 2.01471~\text{amu}, M\left({}_{2}^{4}\mathrm{He}\right)= 4.00388~\text{amu}\)
1. \(3.79\) MeV
2. \(13.79\) MeV
3. \(0.79\) MeV
4. \(23.79\) MeV
Subtopic: Mass-Energy Equivalent |
72%
From NCERT
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Hints
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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. \(6.4\times 10^{-13}~\text{J}\)
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 |
63%
From NCERT
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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 |
69%
From NCERT
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