- 1(current)
Q. No.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. \(\mathrm{Ca}^{40}\)
1. \(\mathrm{Li}^7\)
2. \(\mathrm{Na}^{21}\)
3. \(\mathrm{S}^{16}\)
4. \(\mathrm{Ca}^{40}\)
Subtopic: Â Nucleus |
 68%
Level 2: 60%+
Hints
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. \(V\propto \frac{1}{M^3}\)
1. \(V\propto M\)
2. \(V\propto \frac{1}{M}\)
3. \(V\propto M^3\)
4. \(V\propto \frac{1}{M^3}\)
Subtopic: Â Nucleus |
 80%
Level 1: 80%+
Hints
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. \(X\)
1. \(2X\)
2. \(\frac{X}{3}\)
3. \(4X\)
4. \(X\)
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
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 |
 77%
Level 2: 60%+
NEET - 2024
Hints
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. \(16\)
(take \(R_0 = 1.2 \times 10^{-15} \text{ m}\), \(4\pi = 12.56\))
1. \(12\)
2. \(19\)
3. \(20\)
4. \(16\)
Subtopic: Â Nucleus |
Level 3: 35%-60%
NEET - 2026
Please attempt this question first.
Hints
Please attempt this question first.
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
Hints
Links
If the nuclear density of the material of atomic mass \(27\) is \(3\rho _{0},\) then the nuclear density of the material of atomic mass \(125\) is:
1. \(5\rho_0\)
2. \(3\rho_0\)
3. \(\frac{5}{3}\rho_0\)
4. \(\rho_0\)
1. \(5\rho_0\)
2. \(3\rho_0\)
3. \(\frac{5}{3}\rho_0\)
4. \(\rho_0\)
Subtopic: Â Nucleus |
 73%
Level 2: 60%+
Hints
- 1(current)
Q. No.
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