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 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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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 |
 82%
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. \(M(A, Z)=Z_p+(A-Z) M_n-B E / c^2\)
2. \({M}({A}, {Z})={ZM}_{p}+({A}-{Z}) {M}_{n}+{BE}\)
3. \(M(A, Z)=Z_p+(A-Z) M_n-B E\)
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: 
XZAYZ+1ABZ-1A-4BZ-1A-4
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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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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What happens to the mass number and the atomic number of an element when it emits \(\gamma\text{-}\)radiation?

1. mass number decreases by four and atomic number decreases by two.
2. mass number and atomic number remain unchanged.
3. mass number remains unchanged while the atomic number decreases by one.
4. mass number increases by four and the atomic number increases by two.
Subtopic:  Types of Decay |
 83%
From NCERT
NEET - 2020
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