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 |
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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 \(R_0=1.1~\text{fm}\) ]  
1. \(R=R_0A^{\frac{1}{2}},\) \(8.8 ~\text{fm}\) 
2. \(R=R_0A^{\frac{1}{3}},\) \(4.4~\text{fm}\) 
3. \(R=R_0A^{\frac{1}{3}},\) \(3.3~\text{fm}\) 
4. \(R=R_0A^{\frac{1}{6}},\) \(2.2~\text{fm}\) 
Subtopic:  Nucleus |
 85%
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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 |
 84%
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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%
From NCERT
NEET - 2022
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A stationary nucleus breaks into two daughter nuclei, which move with velocities in the ratio \(3:2.\) What is the ratio of their nuclear radii?
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:  Nucleus |
 69%
From NCERT
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The four graphs show different possible relationships between \(\text{ln}\left(\dfrac{{R}}{{R}_0}\right)\) and \(\text{ln}(A).\)
(where \(R\) is the radius of a nucleus and \(A \) is the mass number of the nucleus)
Which of these graphs (1, 2, 3, or 4) correctly represents the relationship between these nuclear parameters?

1. 2.
3. 4.
Subtopic:  Nucleus |
 77%
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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:  Nucleus |
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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 |
 80%
From NCERT
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:  Nucleus |
 81%
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AIPMT - 2008
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