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Q. No.The nuclear radius of a \({ }_{3}^{8} \mathrm{L i}\) nucleus is \(2.2~\text{fm}\). The nuclear radius of \({ }_{30}^{64} \mathrm{Zn}\) is nearly:
1. \(4.4~\text{fm}\)
2. \(7~\text{fm}\)
3. \(22~\text{fm}\)
4. \(17.6~\text{fm}\)
1. \(4.4~\text{fm}\)
2. \(7~\text{fm}\)
3. \(22~\text{fm}\)
4. \(17.6~\text{fm}\)
Subtopic: Â Nucleus |
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From NCERT
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Expression for the average radius of a nucleus and hence the radius of a given hypothetical nucleus \(^{64}_{27}\mathrm{X}\) will respectively be: [Given that \(R_0=1.1\) fm]
1. \(R=R_0A^{\frac{1}{2}}\), \(8.8 \) fm
2. \(R=R_0A^{\frac{1}{3}}\), \(4.4\) fm
3. \(R=R_0A^{\frac{1}{3}}\), \(3.3\) fm
4. \(R=R_0A^{\frac{1}{6}}\), \(2.2\) fm
1. \(R=R_0A^{\frac{1}{2}}\), \(8.8 \) fm
2. \(R=R_0A^{\frac{1}{3}}\), \(4.4\) fm
3. \(R=R_0A^{\frac{1}{3}}\), \(3.3\) fm
4. \(R=R_0A^{\frac{1}{6}}\), \(2.2\) fm
Subtopic: Â Nucleus |
 84%
From NCERT
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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%
From NCERT
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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: Â Nucleus |
 81%
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NEET - 2022
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A stationary nucleus breaks into two daughter nuclei having velocities in the ratio \(3:2.\) The radius of their nuclear sizes is:
1. \(\left ( \dfrac{2}{3} \right )^{1/2}\)
2. \(\left ( \dfrac{2}{3} \right )^{1/3}\)
3. \(\left ( \dfrac{4}{9} \right )^{1/3}\)
4. \(\left ( \dfrac{9}{4} \right )^{1/2}\)
1. \(\left ( \dfrac{2}{3} \right )^{1/2}\)
2. \(\left ( \dfrac{2}{3} \right )^{1/3}\)
3. \(\left ( \dfrac{4}{9} \right )^{1/3}\)
4. \(\left ( \dfrac{9}{4} \right )^{1/2}\)
Subtopic: Â Nucleus |
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The following figures represent the variation of \(\mathrm{ln}\left(\dfrac{{R}}{{R}_0}\right)\) with \(\mathrm{ln}(A)\):
(If \(R=\) the radius of a nucleus and \(A =\) its mass number)
(If \(R=\) the radius of a nucleus and \(A =\) its mass number)
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Â Nucleus |
 77%
From NCERT
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Atoms have different atomic numbers as well as different mass numbers but have the same number of neutrons is called:
| 1. | isotopes | 2. | isobars |
| 3. | isotones | 4. | isodiaphers |
Subtopic: Â Nucleus |
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From NCERT
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The ratio of nuclear densities and nuclear volumes of \(^{56}_{26}\mathrm{Fe}\) and \(^{4}_{2}\mathrm{He}\) are, respectively:
1. \(13:1\) and \(14:1\)
2. \(14:1\) and \(1:1\)
3. \(1:1\) and \(14:1\)
4. \(1:1\) and \(13:1\)
1. \(13:1\) and \(14:1\)
2. \(14:1\) and \(1:1\)
3. \(1:1\) and \(14:1\)
4. \(1:1\) and \(13:1\)
Subtopic: Â Nucleus |
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NEET - 2024
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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 |
 78%
From NCERT
AIPMT - 2008
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