- 1(current)
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 |
 86%
Level 1: 80%+
Hints
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. \(R=R_0A^{\frac{1}{6}},\) \(2.2~\text{fm}\)
[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: Â Nucleus |
 85%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
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 |
 83%
Level 1: 80%+
Hints
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 |
 83%
Level 1: 80%+
NEET - 2022
Hints
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: Â Nucleus |
 71%
Level 2: 60%+
JEE
Please attempt this question first.
Hints
Please attempt this question first.
The four graphs represent 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 its mass number.
Which of the graphs (1, 2, 3, or 4) correctly depicts the relationship between these two nuclear parameters?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Â Nucleus |
 75%
Level 2: 60%+
Hints
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 |
 79%
Level 2: 60%+
Hints
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: Â Nucleus |
 79%
Level 2: 60%+
NEET - 2024
Hints
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 |
 82%
Level 1: 80%+
AIPMT - 2008
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