If in nuclear reactor using \(\mathrm{U}^{235}\) as fuel, the power output is \(4.8\) MW, the number of fissions per second is:
(Energy released per fission of \(\mathrm{U}^{235}=200\) MeV watts, \(1~\text{eV}= 1.6\times 10^{-19}~\text{J})\)
1. \(1.5\times 10^{17}\)
2. \(3\times 10^{19}\)
3. \(1.5\times 10^{25}\)

4. \(3\times 10^{25}\)

Subtopic:  Nuclear Energy |
 71%
From NCERT
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Calculate the \(Q\text-\)value of the nuclear reaction:
\(2~{ }_{6}^{12} \mathrm{C}\rightarrow{ }_{10}^{20} \mathrm{Ne}+{ }_2^4 \mathrm{He}\)
The following data are given:
\(m({ }_{6}^{12} \mathrm{C})=12.000000~\text{amu}\)
\(m({ }_{10}^{20} \mathrm{Ne})=19.992439~\text{amu}\)
\(m({ }_{2}^{4} \mathrm{He})=4.002603~\text{amu}\)
1. \(3.16~\text{MeV}\)
2. \(5.25~\text{MeV}\)
3. \(3.91~\text{MeV}\)
4. \(4.65~\text{MeV}\)

Subtopic:  Mass-Energy Equivalent |
 53%
From NCERT
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A nucleus \({}_{Z}^{A}\mathrm{X}\) emits \(9~\alpha\text-\)particles and \(5~\beta\text-\)particles. The ratio of total protons and neutrons in the final nucleus is:
1. \(\frac{(Z - 13)}{\left(A - Z - 23\right)}\)
2. \(\frac{\left(Z - 18\right)}{\left(A - 36\right)}\)
3. \(\frac{\left(Z - 13\right)}{\left(A - 36\right)}\)
4. \(\frac{\left(Z - 13\right)}{\left(A - Z - 13\right)}\)
Subtopic:  Types of Decay |
 59%
From NCERT
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An element \(\mathrm{X}\) decays, first by positron emission, and then two \(\alpha\text-\)particles are emitted in successive radioactive decay. If the product nuclei have a mass number \(229\) and atomic number \(89\), the mass number and the atomic number of element \(\mathrm{X}\) are:
1. \(237,~93\) 
2. \(237,~94\)
3. \(221,~84\)
4. \(237,~92\)

Subtopic:  Types of Decay |
 57%
From NCERT
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If \(\frac{N}{Z}\) ratio in a nucleus is smaller than the required value for stability, then:
1. It may emit \(\alpha\text-\)particle.
2. It may emit \(\beta^{+}\) particle.
3. It may go for \(K\) capture.
4. All of the above are possible.
Subtopic:  Types of Decay |
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
Subtopic:  Mass-Energy Equivalent |
 70%
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 |
 78%
From NCERT
AIPMT - 2008
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The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an:
1. Isobar of a parent.
2. Isomer of a parent.
3. Isotone of a parent.
4. Isotope of a parent.

Subtopic:  Types of Decay |
 65%
From NCERT
AIPMT - 2009
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A nucleus \({ }_{{n}}^{{m}} \mathrm{X}\) emits one \(\alpha\text -\text{particle}\) and two \(\beta\text- \text{particle}\) The resulting nucleus is:
1. \(^{m-}{}_n^6 \mathrm{Z} \)
2. \(^{m-}{}_{n}^{4} \mathrm{X} \)
3. \(^{m-4}_{n-2} \mathrm{Y}\)
4. \(^{m-6}_{n-4} \mathrm{Z} \)

Subtopic:  Types of Decay |
 81%
From NCERT
AIPMT - 2011
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The Binding energy per nucleon of \(^{7}_{3}\mathrm{Li}\) and \(^{4}_{2}\mathrm{He}\) nucleon are \(5.60~\text{MeV}\) and \(7.06~\text{MeV}\), respectively. In the nuclear reaction \(^{7}_{3}\mathrm{Li} + ^{1}_{1}\mathrm{H} \rightarrow ^{4}_{2}\mathrm{He} + ^{4}_{2}\mathrm{He} +Q\), the value of energy \(Q\) released is:
1. \(19.6~\text{MeV}\)
2. \(-2.4~\text{MeV}\)
3. \(8.4~\text{MeV}\)
4. \(17.3~\text{MeV}\)

Subtopic:  Nuclear Binding Energy |
 65%
From NCERT
AIPMT - 2014
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