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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 |
 70%
From NCERT
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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 |
 73%
From NCERT
AIPMT - 2010
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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 |
 70%
From NCERT
AIPMT - 2008
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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 |
 84%
From NCERT
AIPMT - 2006
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The energy equivalent of \(0.5~\text g\) of a substance is:
1. \(4.5\times10^{13}~\text J\) 
2. \(1.5\times10^{13}~\text J\) 
3. \(0.5\times10^{13}~\text J\) 
4. \(4.5\times10^{16}~\text J\) 

Subtopic:  Mass-Energy Equivalent |
 65%
From NCERT
NEET - 2020
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When a uranium isotope \(_{92}^{235}\mathrm{U}\) is bombarded with a neutron, it generates \(_{36}^{89}\mathrm{Kr}\), three neutrons and:
1. \(_{40}^{91}\mathrm{Zr}\) 2. \(_{36}^{101}\mathrm{Kr}\)
3. \(_{36}^{103}\mathrm{Kr}\) 4. \(_{56}^{144}\mathrm{Ba}\)
Subtopic:  Nuclear Energy |
 86%
From NCERT
NEET - 2020
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Two stable isotopes of lithium \(^{6}_{3}\mathrm{Li}\) and \(^{7}_{3}\mathrm{Li}\) have respective abundances of \(7.5\%\) and \(92.5\%\). These isotopes have masses \(6.01512~\text{u}\) and \(7.01600~\text{u}\), respectively. The atomic mass of lithium is:
1. \(6.940934~\text{u}\)
2. \(6.897643~\text{u}\)
3. \(7.863052~\text{u}\)
4. \(7.167077~\text{u}\)

Subtopic:  Nuclear Binding Energy |
 69%
From NCERT
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If the density of the gold nucleus is \(X,\) then the density of the silver nucleus will be:
1. \(2X\)
2. \(\frac{X}{3}\)
3. \(4X\)
4. \(X\)

Subtopic:  Nucleus |
 83%
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 |
 79%
From NCERT
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After two alpha decays and four beta(-ve) decays, the atomic number:
1. decreases by \(4\) and the mass number remains the same.
2. remains the same but the mass number increases by \(4.\)
3. remains the same but the mass number decreases by \(8.\)
4. increases but the mass number remains the same.

Subtopic:  Types of Decay |
 85%
From NCERT
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