A nucleus with mass number $$240$$ breaks into fragments each of mass number $$120$$. The binding energy per nucleon of unfragmented nuclei is $$7.6~\text{MeV}$$ while that of fragments is $$8.5~\text{MeV}$$. The total gain in the binding energy in the process is:
1. $$804~\text{MeV}$$
2. $$216~\text{MeV}$$
3. $$0.9~\text{MeV}$$
4. $$9.4~\text{MeV}$$

Subtopic:  Nuclear Binding Energy |
63%
From NCERT
NEET - 2021
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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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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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A nucleus ${}_{Z}{X}^{A}$ has a mass represented by $$M(A, Z).$$ If $$M_P$$ and $$M_n$$ denote the mass of proton and neutron respectively and BE the binding energy, then:

1. $BE=\left[M\left(A,Z\right)-Z{M}_{p}-\left(A-Z\right){M}_{n}\right]{c}^{2}$

2. $BE=\left[Z{M}_{p}+\left(A-Z\right){M}_{n}-M\left(A,$ $Z\right)\right]{c}^{2}$

3. $BE=\left[Z{M}_{p}+A{M}_{n}-M-\left(A,$ $Z\right)\right]{c}^{2}$

4. $BE=M\left(A,$ $Z\right)-Z{M}_{p}-\left(A-Z\right){M}_{n}$

Subtopic:  Nuclear Binding Energy |
82%
From NCERT
AIPMT - 2007
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The binding energy of deuteron is $$2.2~\text{MeV}$$ and that of $$_2\mathrm{He}^{4}$$ is $$28~\text{MeV}$$. If two deuterons are fused to form one $$_{2}\mathrm{He}^{4}$$${}^{}$then the energy released is:
1. $$25.8~\text{MeV}$$
2. $$23.6~\text{MeV}$$
3. $$19.2~\text{MeV}$$
4. $$30.2~\text{MeV}$$

Subtopic:  Nuclear Binding Energy |
73%
From NCERT
AIPMT - 2006
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In the reaction $${ }_1^2 \mathrm{H}+{ }_1^3 \mathrm{H} \longrightarrow{ }_2^4 \mathrm{He}+{ }_0^1 n$$ , if the binding energies of $${ }_1^2 \mathrm{H},~_1^3 \mathrm{H} ~\text{and}~_2^4\mathrm{H}$$ He are respectively $$a,b$$ and $$c$$ (in MeV,) then the energy (in MeV) released in this reaction is:
1. $$a+b+c$$
2. $$c+a-b$$
3. $$c-a-b$$
4. $$a+b-c$$
Subtopic:  Nuclear Binding Energy |
75%
From NCERT
AIPMT - 2005
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If in a nuclear fusion process. the masses of the fusing nuclei be $$m_1$$ and $$m_2$$ and the mass of the resultant nucleus be $$m_3,$$ then:
 1 $$m_3=\left|m_1-m_2 \right|$$ 2 $$m_3<\left ( m_1+m_2 \right )$$ 3 $$m_3>\left ( m_1+m_2 \right )$$ 4 $$m_3=\left ( m_1+m_2 \right )$$
Subtopic:  Nuclear Binding Energy |
78%
From NCERT
AIPMT - 2004
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A nucleus represented by the symbol $${}_{Z}^{A}\mathrm{X}$$ has:
 1 $$Z$$ protons and $$A-Z$$ neutrons 2 $$Z$$ protons and $$A$$ neutrons 3 $$A$$ protons and $$Z-A$$ neutrons 4 $$Z$$ neutrons and $$A-Z$$ protons
Subtopic:  Nuclear Binding Energy |
90%
From NCERT
AIPMT - 2004
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MP denotes the mass of a proton and Mn that of a neutron. A given nucleus, of binding energy B, contains Z protons and N neutrons. The mass M(N, Z) of the nucleus is given by:
(c is the velocity of light )

1. M(N, Z) = NMn + ZMP + Bc2

2. M(N, Z) = NMn + ZMP – B/c2

3. M(N, Z) = NMn + ZMP + B/c2

4. M(N, Z) = NMn + ZMP – Bc2

Subtopic:  Nuclear Binding Energy |
87%
From NCERT
AIPMT - 2004
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