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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: Â Nuclear Binding Energy |
 91%
Level 1: 80%+
AIPMT - 2004
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As compared to \(^{12}\mathrm{C}\) atom, \(^{14}\mathrm{C}\) 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: Â Nuclear Energy |
 78%
Level 2: 60%+
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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: Â Mass-Energy Equivalent |
 64%
Level 2: 60%+
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. \(N^{-1}\)
1. \(N^3\)
2. \(N^1\)
3. \(N^0\)
4. \(N^{-1}\)
Subtopic: Â Nucleus |
 82%
Level 1: 80%+
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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: Â Nucleus |
 81%
Level 1: 80%+
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. \(5:4\)
1. \(25:16\)
2. \(1:1\)
3. \(4:5\)
4. \(5:4\)
Subtopic: Â Nucleus |
 82%
Level 1: 80%+
NEET - 2022
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Given below are two statements:
| Assertion (A): | The density of the 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: Â Nucleus |
 66%
Level 2: 60%+
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Subtopic: Â Nucleus |
Level 4: Below 35%
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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. \(2.67~\text{MeV}\)
(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: Â Mass-Energy Equivalent |
Level 3: 35%-60%
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. | \(M(A, Z) = ZM_p + (A-Z)M_n- \dfrac{BE}{c^2}\) |
| 2. | \(M(A, Z) = ZM_p + (A-Z)M_n+ BE\) |
| 3. | \(M(A, Z) = ZM_p + (A-Z)M_n- BE\) |
| 4. | \(M(A, Z) = ZM_p + (A-Z)M_n+ \dfrac{BE}{c^2}\) |
Subtopic: Â Mass-Energy Equivalent |
 74%
Level 2: 60%+
AIPMT - 2008
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