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Q. No.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 |
79%
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 |
82%
Level 1: 80%+
NEET - 2022
Hints
The energy equivalent of \(0.5~\text g\) of a substance is:
| 1. | \(4.5\times10^{13}~\text J\) | 2. | \(1.5\times10^{13}~\text J\) |
| 3. | \(0.5\times10^{13}~\text J\) | 4. | \(4.5\times10^{16}~\text J\) |
Subtopic: Mass-Energy Equivalent |
65%
Level 2: 60%+
NEET - 2020
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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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The Binding energy per nucleon of \(^{7}_{3}\mathrm{Li}\) and \(^{4}_{2}\mathrm{He}\) nucleon are \(5.60~\text{MeV}\) and \(7.06~\text{MeV}\), respectively. In the nuclear reaction \(^{7}_{3}\mathrm{Li} + ^{1}_{1}\mathrm{H} \rightarrow ^{4}_{2}\mathrm{He} + ^{4}_{2}\mathrm{He} +Q\), the value of energy \(Q\) released is:
| 1. | \(19.6~\text{MeV}\) | 2. | \(-2.4~\text{MeV}\) |
| 3. | \(8.4~\text{MeV}\) | 4. | \(17.3~\text{MeV}\) |
Subtopic: Nuclear Binding Energy |
68%
Level 2: 60%+
AIPMT - 2014
Hints
How does the binding energy per nucleon vary with the increase in the number of nucleons?
| 1. | decrease continuously with mass number. |
| 2. | first decreases and then increases with an increase in mass number. |
| 3. | first increases and then decreases with an increase in mass number. |
| 4. | increases continuously with mass number. |
Subtopic: Nuclear Binding Energy |
81%
Level 1: 80%+
NEET - 2013
Hints
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 |
68%
Level 2: 60%+
NEET - 2024
Hints
\({ }_{82}^{290} X \xrightarrow{\alpha} Y \xrightarrow{e^{+}} Z \xrightarrow{\beta^{-}} P \xrightarrow{e^{-}} Q\)
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 |
67%
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 radioactive nucleus \(_{\mathrm{Z}}^{\mathrm{A}}\mathrm{X}\) undergoes spontaneous decay in the sequence \(_{\mathrm{Z}}^{\mathrm{A}}\mathrm{X}\rightarrow \mathrm{B}_{\mathrm{Z-1}}\rightarrow \mathrm{C}_{\mathrm{Z-3}}\rightarrow \mathrm{D}_{\mathrm{Z-2}}\) where \(\mathrm{Z}\) is the atomic number of element \(\mathrm{X}.\) The possible decay particles in the sequence are:
| 1. | \(\beta^{+}, ~\alpha, ~\beta^{-}\) | 2. | \(\beta^{-}, ~\alpha, ~\beta^{+}\) |
| 3. | \(\alpha, ~\beta^{-},~\beta^{+}\) | 4. | \(\alpha, ~\beta^{+},~\beta^{-}\) |
Subtopic: Types of Decay |
74%
Level 2: 60%+
NEET - 2021
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