An unknown nucleus has a nuclear density of \(2.29 \times 10^{17} ~\text{kg/m}^3\) and mass of \(19.926 \times 10^{-27} \text{ kg}\). Its mass number \(A\) is approximately:
(take \(R_0 = 1.2 \times 10^{-15} \text{ m}\), \(4\pi = 12.56\))
1. \(12\)
2. \(19\)
3. \(20\)
4. \(16\)
Subtopic:  Nucleus |
Level 3: 35%-60%
NEET - 2026
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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 |
 77%
Level 2: 60%+
NEET - 2024
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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 |
 83%
Level 1: 80%+
NEET - 2022
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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 |
 81%
Level 1: 80%+
NEET - 2015
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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%
Level 1: 80%+
AIPMT - 2012
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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 |
 82%
Level 1: 80%+
AIPMT - 2008
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If the nucleus \({}_{13}^{27}\mathrm{Al}\) has a nuclear radius of about \(3.6\) fermis, then \({}_{52}^{125}\mathrm{Te}\) would have its radius approximately as:
1. \(6.0\) Fermi
2. \(9.6\) Fermi
3. \(12.0\) Fermi
4. \(4.8\) Fermi

Subtopic:  Nucleus |
 73%
Level 2: 60%+
AIPMT - 2007
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The radius of Germanium \((\mathrm{Ge})\) nuclide is measured to be twice the radius of \({}_{4}^{9}\mathrm{Be}.\) The number of nucleons in \(\mathrm{Ge}\) is:
1. \(73\)
2. \(74\)
3. \(75\)
4. \(72\)

Subtopic:  Nucleus |
 65%
Level 2: 60%+
AIPMT - 2006
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