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Q. No.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: Nucleus |
Level 3: 35%-60%
NEET - 2026
Please attempt this question first.
Hints
Four statements are given (\(A\) is mass numbers):
Choose the correct answer from the options given below.
1. \((\mathrm{B})\) and \((\mathrm{D})\) are True but \((\mathrm{A})\) and \((\mathrm{C})\) are False
2. \((\mathrm{A})\) and \((\mathrm{D})\) are True, but \((\mathrm{B})\) and \((\mathrm{C})\) are False
3. \((\mathrm{A})\) and \((\mathrm{C})\) are True, but \((\mathrm{B})\) and \((\mathrm{D})\) are False
4. \((\mathrm{B})\) and \((\mathrm{C})\) are True but \((\mathrm{A})\) and \((\mathrm{D})\) are False
| \((\mathrm{A})\) | The volume of a nucleus is proportional to \(A^{1/3}.\) |
| \((\mathrm{B})\) | The volume of a nucleus is proportional to \(A.\) |
| \((\mathrm{C})\) | The difference in mass of an atom and its nucleus is called the mass defect. |
| \((\mathrm{D})\) | The difference in mass of a nucleus and its constituents is called the mass defect. |
1. \((\mathrm{B})\) and \((\mathrm{D})\) are True but \((\mathrm{A})\) and \((\mathrm{C})\) are False
2. \((\mathrm{A})\) and \((\mathrm{D})\) are True, but \((\mathrm{B})\) and \((\mathrm{C})\) are False
3. \((\mathrm{A})\) and \((\mathrm{C})\) are True, but \((\mathrm{B})\) and \((\mathrm{D})\) are False
4. \((\mathrm{B})\) and \((\mathrm{C})\) are True but \((\mathrm{A})\) and \((\mathrm{D})\) are False
Subtopic: Mass-Energy Equivalent |
52%
Level 3: 35%-60%
NEET - 2026
Please attempt this question first.
Hints
Please attempt this question first.
\({ }_{82}^{290} X \xrightarrow{\alpha} Y \xrightarrow{e^{+}} Z \xrightarrow{\beta^{-}} P \xrightarrow{e^{-}} Q\)
In the nuclear emission stated above, the mass number and atomic number of the product \(Q\) respectively, are:
1. \(286,80\)
2. \(288,82\)
3. \(286,81\)
4. \(280,81\)
In the nuclear emission stated above, the mass number and atomic number of the product \(Q\) respectively, are:
1. \(286,80\)
2. \(288,82\)
3. \(286,81\)
4. \(280,81\)
Subtopic: Types of Decay |
66%
Level 2: 60%+
NEET - 2024
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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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An excited heavy nucleus \(^A_Z \mathrm{X}\) emits radiations in the following sequence:
\(^A_Z \mathrm{X}\rightarrow ^{A-4}_{Z-2}\mathrm{D_1}\rightarrow ^{A-4}_{Z-1}\mathrm{D_2}\rightarrow ^{A-8}_{Z-3}\mathrm{D_3}\rightarrow ^{A-8}_{Z-4}\mathrm{D_4}\rightarrow ^{A-8}_{Z-4}\mathrm{D_5}\)
where \(Z,A\) are the atomic and mass number of element \(\mathrm{X},\) respectively. The possible emitted particles or radiations in the sequence, respectively are:
\(^A_Z \mathrm{X}\rightarrow ^{A-4}_{Z-2}\mathrm{D_1}\rightarrow ^{A-4}_{Z-1}\mathrm{D_2}\rightarrow ^{A-8}_{Z-3}\mathrm{D_3}\rightarrow ^{A-8}_{Z-4}\mathrm{D_4}\rightarrow ^{A-8}_{Z-4}\mathrm{D_5}\)
where \(Z,A\) are the atomic and mass number of element \(\mathrm{X},\) respectively. The possible emitted particles or radiations in the sequence, respectively are:
| 1. | \(e^+, \alpha, e^-, \alpha , \gamma \) | 2. | \(e^-, \alpha, e^+, \alpha , \gamma \) |
| 3. | \(\alpha ,e^-, \alpha, e^+, \gamma \) | 4. | \(\alpha ,e^+, \alpha, e^-, \gamma \) |
Subtopic: Types of Decay |
65%
Level 2: 60%+
NEET - 2024
Hints
Water is used as a coolant in a nuclear reactor because of its:
1. high thermal expansion coefficient
2. high specific heat capacity
3. low density
4. low boiling point
1. high thermal expansion coefficient
2. high specific heat capacity
3. low density
4. low boiling point
Subtopic: Nuclear Binding Energy |
69%
Level 2: 60%+
NEET - 2024
Hints
Select the correct statements among the following:
Choose the most appropriate answer from the options given below:
| A. | slow neutrons can cause fission in \(\mathrm U_{92}^{235}\) than fast neutrons. |
| B. | \(\text{α-rays}\) are helium nuclei. |
| C. | \(\text{β-rays}\) are fast-moving electrons or positrons. |
| D. | \(\gamma\text-\text{rays}\) are electromagnetic radiations of wavelengths larger than \(X\text-\)rays. |
| 1. | A, B, and C only | 2. | A, B, and D only |
| 3. | A and B only | 4. | C and D only |
Subtopic: Nuclear Energy |
68%
Level 2: 60%+
NEET - 2024
Hints
In the given nuclear reaction, the element \(\mathrm{X}\) is:
\({ }_{11}^{22} \mathrm{Na} \rightarrow \mathrm{X}+\mathrm{e}^{+}+\nu\)
\({ }_{11}^{22} \mathrm{Na} \rightarrow \mathrm{X}+\mathrm{e}^{+}+\nu\)
| 1. | \({ }_{12}^{22} \mathrm{Mg}\) | 2. | \({ }_{11}^{23} \mathrm{Na}\) |
| 3. | \({ }_{10}^{23} \mathrm{Ne}\) | 4. | \(_{10}^{22}\textrm{Ne}\) |
Subtopic: Types of Decay |
68%
Level 2: 60%+
NEET - 2022
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: Nucleus |
83%
Level 1: 80%+
NEET - 2022
Hints
A nucleus with mass number \(240\) breaks into fragments each of mass number \(120.\) The binding energy per nucleon of unfragmented nuclei is \(7.6~\text{MeV}\) while that of fragments is \(8.5~\text{MeV}.\) The total gain in the binding energy in the process is:
| 1. | \(804~\text{MeV}\) | 2. | \(216~\text{MeV}\) |
| 3. | \(0.9~\text{MeV}\) | 4. | \(9.4~\text{MeV}\) |
Subtopic: Nuclear Binding Energy |
65%
Level 2: 60%+
NEET - 2021
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