The average energy released per fission for the nucleus of \({ }_{92}^{235} \mathrm{U}\) is \(190\) MeV. When all the atoms of \(47\) g pure \({ }_{92}^{235} \mathrm{U}\) undergo fission process, the energy released is \(\alpha \times 10^{23}\) MeV. The value of \(\alpha\) is:
(Avogadro Number \(= 6\times 10^{23}\) per mole)
1. \(220\)
2. \(228\)
3. \(210\)
4. \(230\)
Subtopic:  Nuclear Energy |
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Level 1: 80%+
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Match the List-I with List-II
List-I List-II
\(\mathrm{A.}\) \({ }_0^1 \mathrm{n}+{ }_{92}^{235} \mathrm{U} \rightarrow{ }_{54}^{140} \mathrm{Xe}+{ }_{38}^{94} \mathrm{Sr}+2{ }_0^1 \mathrm{n}\) \(\mathrm{I.}\) Chemical reaction
\(\mathrm{B.}\) \(2 \mathrm{H}_2+\mathrm{O}_2 \rightarrow 2 \mathrm{H}_2 \mathrm{O}\) \(\mathrm{II.}\) Fusion with \(+\text{ve}~Q \) value
\(\mathrm{C.}\) \({ }_1^2 \mathrm{H}+{ }_1^2 \mathrm{H} \rightarrow{ }_2^3 \mathrm{He}+{ }_0^1 \mathrm{n}\) \(\mathrm{III.}\) Fission
\(\mathrm{D.}\) \({ }_1^1 \mathrm{H}+{ }_1^3 \mathrm{H} \rightarrow{ }_1^2 \mathrm{H}+{ }_1^2 \mathrm{H}\) \(\mathrm{IV.}\) Fusion with \(-\text{ve}~Q \) value
Choose the correct answer from the options given below:
1. \(\mathrm{A\text-III, B\text-I, C\text-II, D\text-IV}\)
2. \(\mathrm{A\text-II, B\text-I, C\text-III, D\text-IV}\)
3. \(\mathrm{A\text-II, B\text-I, C\text-IV, D\text-III}\)
4. \(\mathrm{A\text-III, B\text-I, C\text-IV, D\text-II}\)
Subtopic:  Nuclear Energy |
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Level 3: 35%-60%
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Choose the correct statements:
\(\mathrm{(A)}\) The angular momentum of orbiting electrons is the integral multiplication of \(h\)
\(\mathrm{(B)}\) The nuclear force does not follow the inverse square law.
\(\mathrm{(C)}\) The nuclear force is dependent on the spin quantum number.
\(\mathrm{(D)}\) The nuclear force is independent of the nature of nucleons.
\(\mathrm{(E)}\) The stability of the nucleus depends upon the packing fraction.
 
1. \(\mathrm{A, B, C, D}\) are correct 2. \(\mathrm{A, B, C, E}\) are correct
3. \(\mathrm{A, C, D, E}\) are correct 4. \(\mathrm{B, C, D, E}\) are correct
Subtopic:  Nuclear Energy |
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Level 2: 60%+
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The masses of lithium-\(7\) \(({ }_3^7 \mathrm{Li}),\) helium-\(4\) \(({ }_2^4 \mathrm{He}),\) and hydrogen-\(1\) \(({ }_1^1 \mathrm{H})\) are \(7.0160~\text{u},\) \(4.0026~\text{u},\) and \(1.0079~\text{u},\) respectively. When \(20~\text{g}\) of lithium-\(7\) undergoes proton capture according to the reaction \({}^{7}_{3}\mathrm{Li}+{}^{1}_{1}\mathrm{H}\rightarrow 2\,{}^{4}_{2}\mathrm{He},\) calculate the total energy released in kWh. Given: \(1~\text{u}=931.5~\text{MeV/c}^2,\) \(1~\text{MeV}=1.602 \times10^{-13}~\text{J},\) Avogadro's number = \(6.022 \times10^{23}\) mol⁻¹, and \(1\) kWh \(3.6\times 10^{6}\) J.
1. \( 1.33 \times 10^6 \)
2. \( 8 \times 10^6 \)
3. \( 6.82 \times 10^5 \)
4. \( 4.5 \times 10^5 \)

Subtopic:  Nuclear Energy |
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Level 3: 35%-60%
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