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Q. No.The energy equivalent of 1 g of substance is :
1. \(11.2 \times 10^{24} \mathrm{MeV}\)
2. \(5.6 \times 10^{26} \mathrm{MeV}\)
3. \(5.6 \mathrm{eV}\)
4. \(5.6 \times 10^{12} \mathrm{MeV}\)
Subtopic: Mass-Energy Equivalent |
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A star has \(100\%\) helium composition. It starts to convert three \(\begin{equation} { }^4 \mathrm{He} \end{equation}\) into one \(\begin{equation} { }^{12} \mathrm{C} \end{equation} \) via triple alpha process as\(\begin{equation} { }^4 \mathrm{He}+{ }^4 \mathrm{He}+{ }^4 \mathrm{He} \rightarrow{ }^{12} \mathrm{C}+\mathrm{Q} \end{equation} \). The mass of the star is \(\begin{equation} 2.0 \times 10^{32} \end{equation} \) kg and it generates energy at the rate of \(\begin{equation} 5.808 \times 10^{30} \end{equation} \) W. The rate of converting these \(\begin{equation} { }^4 \mathrm{He} \text { to }{ }^{12} \mathrm{C} \end{equation} \) is \(\begin{equation} n \times 10^{42} \mathrm{~s}^{-1} \end{equation} \) where \(n\) is _______.
[Take, mass of \(\begin{equation} { }^4 \mathrm{He}=4.0026 \mathrm{u} \end{equation}\), mass of \(\begin{equation} { }^{12} \mathrm{C}=12 \mathrm{u} \end{equation} \)]
1. \(15\)
2. \(5\)
3. \(25\)
4. \(10\)
[Take, mass of \(\begin{equation} { }^4 \mathrm{He}=4.0026 \mathrm{u} \end{equation}\), mass of \(\begin{equation} { }^{12} \mathrm{C}=12 \mathrm{u} \end{equation} \)]
1. \(15\)
2. \(5\)
3. \(25\)
4. \(10\)
Subtopic: Mass-Energy Equivalent |
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The energy released in the fusion of 2 kg of hydrogen deep in the sun is \(E_H\) and the energy released in the fission of \(2\) kg of \(^{235}U\) is \(E_U\). The ratio \(E_H / E_U\). is approximately:
(Consider the fusion reaction as \(4 \mid H+2 \mathrm{e}^{-} \rightarrow_2^4 \mathrm{He}+2 \mathrm{v}+6 \gamma+26.7\) MeV, energy released in the fission reaction of \(235\) U is \(200\) MeV per fission nucleus and \(N_A=6.023 \times 10^{23}\))
1. \(7.62\)
2. \(15.04\)
3. \(25.6\)
4. \(9.13\)
(Consider the fusion reaction as \(4 \mid H+2 \mathrm{e}^{-} \rightarrow_2^4 \mathrm{He}+2 \mathrm{v}+6 \gamma+26.7\) MeV, energy released in the fission reaction of \(235\) U is \(200\) MeV per fission nucleus and \(N_A=6.023 \times 10^{23}\))
1. \(7.62\)
2. \(15.04\)
3. \(25.6\)
4. \(9.13\)
Subtopic: Nuclear Binding Energy |
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A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of \(2:1\). After disintegration they will move:
1. in opposite directions with the same speed
2. in opposite directions with the speed in the ratio of \(1:2\) respectively.
3. in opposite directions with the speed in the ratio of \(2:1\) respectively.
4. in the same direction with same speed.
Subtopic: Nucleus |
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The disintegration energy \(Q\) for the nuclear fission of \({ }^{235} \mathrm{U} \rightarrow{ }^{140} \mathrm{Ce}+{ }^{94} \mathrm{Zr}+\mathrm{n}\) is:
Given atomic masses:
\({ }^{235} \mathrm{U}: 235.0439 \mathrm{u} ;{ }^{140} \mathrm{Ce} ; 139.9054 \mathrm{u},\)
\({ }^{94} \mathrm{Zr}: 93.9063 \mathrm{u} ; \mathrm{n}: 1.0086 \mathrm{u},\) Value of \(c^2=931 \mathrm{MeV} / \mathrm{u}\).
1. \(208\) MeV
2. \(200\) MeV
3. \(123\) MeV
4. \(99\) MeV
Given atomic masses:
\({ }^{235} \mathrm{U}: 235.0439 \mathrm{u} ;{ }^{140} \mathrm{Ce} ; 139.9054 \mathrm{u},\)
\({ }^{94} \mathrm{Zr}: 93.9063 \mathrm{u} ; \mathrm{n}: 1.0086 \mathrm{u},\) Value of \(c^2=931 \mathrm{MeV} / \mathrm{u}\).
1. \(208\) MeV
2. \(200\) MeV
3. \(123\) MeV
4. \(99\) MeV
Subtopic: Nuclear Binding Energy |
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Binding energy of a certain nucleus is \(\mathrm{18\times 10^8J.}\) How much is the difference between total mass of all the nucleons and nuclear mass of the given nucleus:
1. \(\mathrm{0.2\mu g}\)
2. \(\mathrm{20\mu g}\)
3. \(\mathrm{10\mu g}\)
4. \(\mathrm{2\mu g}\)
1. \(\mathrm{0.2\mu g}\)
2. \(\mathrm{20\mu g}\)
3. \(\mathrm{10\mu g}\)
4. \(\mathrm{2\mu g}\)
Subtopic: Nuclear Binding Energy |
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Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
| Assertion (A): | The binding energy per nucleon is found to be practically independent of the atomic number \(A,\) for nuclei with mass numbers between \(30\) and \(170.\) |
| Reason (R): | Nuclear force is long range In the light of the above statements, Choose he correct answer from the options given below: |
| 1. | Both (A) and (R) are true but (R) is NOT the correct explanation of (A) |
| 2. | (A) is false but (R) is true |
| 3. | (A) is true but (R) is false |
| 4. | Both (A) and (R) are true and (R) is the correct explanation of (A) |
Subtopic: Nuclear Binding Energy |
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Choose the correct nuclear process from the options below
[ \( { p: }\) proton, \({ n: }\) neutron, \({e}^{-}:\) electron, \(e^{+}:\) positron, \({v}:\) neutrino,
1.
2.
3.
4.
[ \( { p: }\) proton, \({ n: }\) neutron, \({e}^{-}:\) electron, \(e^{+}:\) positron, \({v}:\) neutrino,
Subtopic: Types of Decay |
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Energy released when two deuterons \((_1\mathrm{H}^2 ) \) fuse to form a helium nucleus \((_2\mathrm{He}^4 ) \) is: (Given: Binding energy per nucleon of \(_1\mathrm{H}^2 \) \(= 1.1 ~\text{MeV}\) and binding energy per nucleon of \(_2\mathrm{He}^4 = 7~\text {MeV} \))
1. \(5.9~\text {MeV} \)
2. \(26.8~\text {MeV} \)
3. \(8.1~\text {MeV} \)
4. \(23.6~\text {MeV} \)
1. \(5.9~\text {MeV} \)
2. \(26.8~\text {MeV} \)
3. \(8.1~\text {MeV} \)
4. \(23.6~\text {MeV} \)
Subtopic: Nuclear Binding Energy |
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Given below are two statements:
Choose the most appropriate answer from the options given below:
| Assertion (A): | The density of the copper \(( _{29} ^{64}\mathrm{Cu})\) nucleus is greater than that of the carbon \(( _{6} ^{12}\mathrm{𝐂})\) nucleus. |
| Reason (R): | The nucleus of mass number \(A\) has a radius proportional to \(A^{1/3}\) |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Nucleus |
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