If the radius of $$_{13}^{27}\mathrm{Al}$$ nucleus is taken to be $$\mathrm{R}_{\mathrm{Al}},$$ then the radius of $$_{53}^{125}\mathrm{Te}$$ nucleus is near:
1. $$\left(\frac{53}{13}\right) ^{\frac{1}{3}}~\mathrm{R_{Al}}$$
2. $$\frac{5}{3}~\mathrm{R_{Al}}$$
3. $$\frac{3}{5}~\mathrm{R_{Al}}$$
4. $$\left(\frac{13}{53}\right)~\mathrm{R_{Al}}$$

Subtopic:  Nucleus |
77%
From NCERT
NEET - 2015
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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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A certain mass of Hydrogen is changed to Helium by the process of fusion. The mass defect in the fusion reaction is $$0.02866~\text{u}$$. The energy liberated per nucleon is: (given $$1~\mathrm{u} = 931~\text{MeV}$$ )
1. $$26.7~\text{MeV}$$
2. $$6.675~\text{MeV}$$
3. $$13.35~\text{MeV}$$
4. $$2.67~\text{MeV}$$
Subtopic:  Mass-Energy Equivalent |
From NCERT
AIPMT - 2013
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How does the binding energy per nucleon vary with the increase in the number of nucleons?
 1 decrease continuously with mass number. 2 first decreases and then increases with an increase in mass number. 3 first increases and then decreases with an increase in mass number. 4 increases continuously with mass number.
Subtopic:  Nuclear Binding Energy |
80%
From NCERT
NEET - 2013
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If the nuclear radius of $$^{27}\text{Al}$$ is $$3.6$$ Fermi, the approximate nuclear radius of $$^{64}\text{Cu}$$ in Fermi is:
1. $$2.4$$
2. $$1.2$$
3. $$4.8$$
4. $$3.6$$

Subtopic:  Nucleus |
88%
From NCERT
AIPMT - 2012
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The power obtained in a reactor using $$\mathrm{U}^{235}$$ ${}^{}$disintegration is $$1000~\text{kW}$$. The mass decay of $$\mathrm{U}^{235}$$ ${}^{}$per hour is approximately equal to:
1. $$20~\mu\text{g}$$
2. $$40~\mu\text{g}$$
3. $$1~\mu\text{g}$$
4. $$10~\mu\text{g}$$

Subtopic:  Mass-Energy Equivalent |
66%
From NCERT
AIPMT - 2011
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Fusion reaction takes place at high temperature because:

 1 atoms get ionized at high temperature 2 kinetic energy is high enough to overcome the Coulomb repulsion between nuclei 3 molecules break up at high temperature 4 nuclei break up at high temperature

Subtopic:  Nuclear Energy |
81%
From NCERT
AIPMT - 2011
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A nucleus $${ }_{{n}}^{{m}} {X}$$ emits one $\mathrm{}$$$\alpha\text -\text{particle}$$ and two $$\beta\text- \text{particle}$$ The resulting nucleus is:
1. $$^{m-}{}_n^6 Z$$
2. $$^{m-}{}_{n}^{4} X$$
3. $$^{m-4}_{n-2}Y$$
4. $$^{m-6}_{n-4} Z$$

Subtopic:  Types of Decay |
81%
From NCERT
AIPMT - 2011
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The mass of a ${}_{3}{}^{7}\mathrm{Li}$ nucleus is $$0.042~\text{u}$$ less than the sum of the masses of all its nucleons. The binding energy per nucleon of the ${}_{3}{}^{7}\mathrm{Li}$ nucleus is near:
1. $$4.6~\text{MeV}$$
2. $$5.6~\text{MeV}$$
3. $$3.9~\text{MeV}$$
4. $$23~\text{MeV}$$

Subtopic:  Nuclear Binding Energy |
72%
From NCERT
AIPMT - 2010
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The binding energy per nucleon in deuterium and helium nuclei are $$1.1$$ MeV and $$7.0$$ MeV, respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is:
1. $$2.2$$ MeV
2. $$28.0$$ MeV
3. $$30.2$$ MeV
4. $$23.6$$ MeV

Subtopic:  Nuclear Binding Energy |
82%
From NCERT
AIPMT - 2010
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