# 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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How long can an electric lamp of $$100$$ W be kept glowing by fusion of $$2.0$$ kg of deuterium? Take the fusion reaction as:
$${}_{1}^{2}\mathrm{H}+{}_{1}^{2}\mathrm{H}\rightarrow {}_{2}^{3}\mathrm{He}+ n + 3.27~\text{MeV}$$
 1 $$4.9 \times 10^{4} \text{ years }$$ 2 $$2.8 \times 10^{4} \text { years }$$ 3 $$3.0 \times 10^{4} \text { years }$$ 4 $$3.9 \times 10^{4} \text { years }$$
Subtopic:  Nuclear Energy |
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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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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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 |
88%
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 |
71%
From NCERT
AIPMT - 2010
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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 $$0.02866$$ u. The energy liberated per nucleon is: (Given $$1$$ u = $$931$$ MeV)
 1 $$26.7$$ MeV 2 $$6.675$$ MeV 3 $$13.35$$ MeV 4 $$2.67$$ MeV
Subtopic:  Mass-Energy Equivalent |
50%
From NCERT
AIPMT - 2013
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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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A nucleus with mass number $$220$$ initially at rest emits an $$\alpha\text-$$particle. If the $$Q$$ value of the reaction is $$5.5$$ MeV, then the kinetic energy of $$\alpha\text-$$particle is:
1. $$4.4$$ meV
2. $$5.4$$ MeV
3. $$5.6$$ MeV
4. $$6.5$$ MeV

Subtopic:  Nuclear Binding Energy |
71%
From NCERT
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