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 |
 82%
From NCERT
NEET - 2022
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The ratio of nuclear densities and nuclear volumes of \(^{56}_{26}Fe\) and \(^{4}_{2}He\) are, respectively:
1. \(13:1\) and \(14:1\) 2. \(14:1\) and \(1:1\)
3. \(1:1\) and \(14:1\) 4. \(1:1\) and \(13:1\)
Subtopic:  Nucleus |
 79%
From NCERT
NEET - 2024
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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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If the nuclear radius of \(^{27}\text{Al}\) is \(3.6\) Fermi, the approximate nuclear radius of \(^{64}\text{Cu}\) in Fermi is:
1. \(2.4\)
2. \(1.2\)
3. \(4.8\)
4. \(3.6\)

Subtopic:  Nucleus |
 89%
From NCERT
AIPMT - 2012
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The stable nucleus that has a radius half of the radius of \(\mathrm{Fe}^{56}\) is:
1. \(\mathrm{Li}^7\)
2. \(\mathrm{Na}^{21}\)
3. \(\mathrm{S}^{16}\)
4. \(\mathrm{Ca}^{40}\)

Subtopic:  Nucleus |
 68%
From NCERT
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If the radius of \(_{13}^{27}\mathrm{Al}\) nucleus is taken to be \({R}_{\mathrm{Al}},\) then the radius of \(_{53}^{125}\mathrm{Te}\) nucleus is near:

1. \(\left(\frac{53}{13}\right) ^{\frac{1}{3}}~{R_{Al}}\) 2. \(\frac{5}{3}~{R_{Al}}\)
3. \(\frac{3}{5}~{R_{Al}}\) 4. \(\left(\frac{13}{53}\right)~{R_{Al}}\)
Subtopic:  Nucleus |
 80%
From NCERT
NEET - 2015
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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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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. \(17.6~\text{fm}\)
Subtopic:  Nucleus |
 86%
From NCERT
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