A nucleus represented by the symbol \({}_{Z}^{A}\mathrm{X}\) has:
1. \(Z\) protons and \(A-Z\) neutrons
2. \(Z\) protons and \(A\) neutrons
3. \(A\) protons and \(Z-A\) neutrons
4. \(Z\) neutrons and \(A-Z\) protons
Subtopic:  Nuclear Binding Energy |
 90%
From NCERT
AIPMT - 2004
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As compared to 12C atom, 14C atom has:

1. two extra protons and two extra electrons
2. two extra protons but no extra electron
3. two extra neutrons and no extra electron
4. two extra neutrons and two extra electrons

Subtopic:  Nuclear Energy |
 82%
From NCERT
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The volume occupied by an atom is greater than the volume of the nucleus by a factor of about:
1. \(10\)
2. \(10^5\)
3. \(10^{10}\)
4. \(10^{15}\)

Subtopic:  Mass-Energy Equivalent |
 60%
From NCERT
AIPMT - 2003
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The radius of a nucleus \((r)\) is directly proportional to the cube-root of the number of nucleons \((N).\) Assume that the mass of a nucleon is fixed \((m_n).\) The density \((\rho)\) of a nucleus varies as:
1. \(N^3\)
2. \(N^1\)
3. \(N^0\)
4. \(N^{-1}\)
Subtopic:  Nucleus |
 81%
From NCERT
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Two nuclei have their mass numbers in the ratio of \(1:3.\) The ratio of their nuclear densities would be:
1. \(1:3\)
2. \(3:1\)
3. \((3)^{1/3}:1\)
4. \(1:1\)

Subtopic:  Nucleus |
 78%
From NCERT
AIPMT - 2008
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A nucleus of mass number \(189\) splits into two nuclei having mass numbers \(125\) and \(64.\) The ratio of the radius of two daughter nuclei respectively is:
1. \(25:16\) 2. \(1:1\)
3. \(4:5\) 4. \(5:4\)
Subtopic:  Nucleus |
 81%
From NCERT
NEET - 2022
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Given below are two statements: 
Assertion (A): The density of nucleus is much higher than that of ordinary matter.
Reason (R): Most of the mass of the atom is concentrated in the nucleus while the size of this nucleus is almost \(10^5\) times smaller.
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Nucleus |
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Which, of the following particles, is unstable?
1. proton
2. neutron
3. electron
4. antineutrino
Subtopic:  Nucleus |
From NCERT
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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 \(0.02866~\text{u}\). The energy liberated per nucleon is: (given \(1~\mathrm{u} = 931~\text{MeV}\) )
1. \(26.7~\text{MeV}\)
2. \(6.675~\text{MeV}\)
3. \(13.35~\text{MeV}\)
4. \(2.67~\text{MeV}\)
Subtopic:  Mass-Energy Equivalent |
From NCERT
AIPMT - 2013
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If \(M(A,~Z)\)\(M_p\), and \(M_n\) denote the masses of the nucleus \(^{A}_{Z}X,\) proton, and neutron respectively in units of \(u\) (\(1~u=931.5~\text{MeV/c}^2\)) and represent its binding energy \((BE)\) in \(\text{MeV}\). Then:

1. \(M(A, Z) = ZM_p + (A-Z)M_n- \frac{BE}{c^2}\)
2. \(M(A, Z) = ZM_p + (A-Z)M_n+ BE\)
3. \(M(A, Z) = ZM_p + (A-Z)M_n- BE\)
4. \(M(A, Z) = ZM_p + (A-Z)M_n+ \frac{BE}{c^2}\)
Subtopic:  Mass-Energy Equivalent |
 71%
From NCERT
AIPMT - 2008
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