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: Â Nuclear Binding Energy |
Â 65%
From NCERT
AIPMT - 2014
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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: Â Nuclear Binding Energy |
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From NCERT
NEET - 2013
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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: Â Nuclear Binding Energy |
Â 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: Â Nuclear Binding Energy |
Â 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: Â Nuclear Binding Energy |
Â 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: Â Nuclear Binding Energy |
Â 73%
From NCERT
AIPMT - 2006
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