The nucleus \({ }_{6}^{12} \mathrm{C}\) absorbs an energetic neutron and emits \(\beta\text-\)particle. The resulting nucleus is:
1. \({ }_{7}^{14} \mathrm{N}\)
2. \({ }_{5}^{13} \mathrm{B}\)
3. \({ }_{7}^{13} \mathrm{N}\)
4. \({ }_{6}^{13} \mathrm{C}\)

Subtopic:  Types of Decay |
 64%
From NCERT
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Fusion reaction takes place at a higher temperature because:

1. atoms get ionized at high temperatures.
2. kinetic energy is high enough to overcome the Coulomb repulsion between nuclei.
3. molecules break up at a high temperature.
4. nuclei break up at a high temperature.
Subtopic:  Nuclear Energy |
 81%
From NCERT
NEET - 2011
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Which of the following pairs of nuclei are isotones?
1. \({}_{34}^{74}\mathrm{Se}, {}_{31}^{71}\mathrm{Ca}\)
2. \({}_{42}^{92}\mathrm{Mo}, {}_{40}^{92}\mathrm{Zr}\)
3. \({}_{38}^{81}\mathrm{Sr}, {}_{38}^{86}\mathrm{Sr}\)
4. \({}_{20}^{40}\mathrm{Ca}, {}_{16}^{32}\mathrm{S}\)

Subtopic:  Nuclear Binding Energy |
 85%
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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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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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 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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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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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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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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