# 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 $\mathrm{}$$$\alpha\text -\text{particle}$$ 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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