# The binding energy of deuteron is $$2.2$$ MeV and that of $${}_{2}^{4}\mathrm{He}$$ is $$28$$ MeV. If two deuterons are fused to form one $${}_{2}^{4}\mathrm{He}$$${}^{}$ then the energy released is: 1. $$25.8$$ MeV 2. $$23.6$$ MeV 3. $$19.2$$ MeV 4. $$30.2$$ MeV

Subtopic:  Nuclear Binding Energy |
83%
From NCERT
AIPMT - 2006
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The energy equivalent of $$0.5$$ g of a substance is:
1. $$4.5\times10^{13}$$ J
2. $$1.5\times10^{13}$$ J
3. $$0.5\times10^{13}$$ J
4. $$4.5\times10^{16}$$ J

Subtopic:  Mass-Energy Equivalent |
62%
From NCERT
NEET - 2020
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If $$M(A,Z)$$$$M_p$$ and $$M_n$$ denote the masses of the nucleus $${}_{Z}^{A}\mathrm{X}$$, proton, and neutron respectively in units of u ($$1$$ u = $$931.5$$ MeV/c2) and $$BE$$ represents its binding energy in MeV, then:
 1 $$M(A, Z)=ZM_p+(A-Z) M_n-B E / c^2$$ 2 $${M}({A}, {Z})={ZM}_{p}+({A}-{Z}) {M}_{n}+{BE}$$ 3 $$M(A, Z)=ZM_p+(A-Z) M_n-B E$$ 4 $${M}({A}, {Z})={ZM}_{p}+({A}-{Z}) {M}_{n}+{BE/c}^2$$
Subtopic:  Nuclear Binding Energy |
65%
From NCERT
AIPMT - 2008
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In the nuclear decay given below:
${}_{\mathrm{Z}}{}^{\mathrm{A}}\mathrm{X}\to {}_{\mathrm{Z}+1}{}^{\mathrm{A}}\mathrm{Y}\to {}_{\mathrm{Z}-1}{}^{\mathrm{A}-4}\mathrm{B}\to {}_{\mathrm{Z}-1}{}^{\mathrm{A}-4}\mathrm{B}$
the particles emitted in the sequence are:

 1 $$\beta, \alpha, \gamma$$ 2 $$\gamma, \beta, \alpha$$ 3 $$\beta, \gamma, \alpha$$ 4 $$\alpha, \beta, \gamma$$
Subtopic:  Types of Decay |
87%
From NCERT
AIPMT - 2009
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The mass of a $${}_{3}^{7}\mathrm{Li}$$ nucleus is $$0.042$$ 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. $$4.6$$ MeV
2. $$5.6$$ MeV
3. $$3.9$$ MeV
4. $$23$$ MeV

Subtopic:  Nuclear Binding Energy |
70%
From NCERT
AIPMT - 2010
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The binding energies of the nuclei $$A$$ and $$B$$ are $$E_a$$ and $$E_b$$ respectively. If three atoms of the element $$B$$ fuse to give one atom of element $$A$$ and an energy $$Q$$ is released, then $$E_a, E_b$$ and $$Q$$ are related as:
1. $$E_a-3E_b= Q$$
2. $$3E_b-E_a= Q$$
3. $$E_a+ 3E_b=Q$$
4. $$E_b+ 3E_a=Q$$

Subtopic:  Nuclear Binding Energy |
67%
From NCERT
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$$\alpha\text-$$particle consists of:
 1 $$2$$ protons only 2 $$2$$ protons and $$2$$ neutrons only 3 $$2$$ electrons, $$2$$ protons, and $$2$$ neutrons 4 $$2$$ electrons and $$4$$ protons only
Subtopic:  Types of Decay |
73%
From NCERT
NEET - 2019
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If the density of gold nucleus is $$X$$, then the density of silver nucleus will be:
1. $$2X$$
2. $$\frac{X}{3}$$
3. $$4X$$
4. $$X$$

Subtopic:  Nucleus |
81%
From NCERT
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The volume $$(V)$$ of a nucleus is related to its mass $$(M)$$ as:
1. $$V\propto M$$
2. $$V\propto \frac{1}{M}$$
3. $$V\propto M^3$$
4. $$V\propto \frac{1}{M^3}$$

Subtopic:  Nucleus |
77%
From NCERT
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After two alpha decays and four beta(-ve) decays, the atomic number:
 1 Decreases by $$4$$ and mass number remains same. 2 Remains the same but the mass number increases by $$4$$. 3 Remains the same but mass number decreases by $$8$$. 4 Increases but mass number remains same.

Subtopic:  Types of Decay |
84%
From NCERT
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