In the given nuclear reaction, the element \(\mathrm{X}\) is: 
\({ }_{11}^{22} \mathrm{Na} \rightarrow \mathrm{X}+\mathrm{e}^{+}+\nu\)
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
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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%
Level 1: 80%+
NEET - 2022
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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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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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If a \({}_{a}^{b}\mathrm{X}\) species emits firstly a positron, then two \(\alpha\) and two \(\beta\) and at last one \(\alpha\) is also emitted and finally converted into stable \({}_{d}^{c}\mathrm{Y}\) species, so the correct relation will be:
1. \(c = b-12, d = a-5\)
2. \(a = c-8, d = b-1\)
3. \(a = c-6, d = b-0\)
4. \(a = c-4, a = b-2\)

Subtopic:  Types of Decay |
 81%
Level 1: 80%+
AIPMT - 2001
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A nuclear reaction is given by;
\({}_{Z}^{A}\mathrm{X}\rightarrow {}_{Z+1}^{A}\mathrm{Y}+{}_{-1}^{0}\mathrm{e}+\nu\)
represents:
1. \(\beta\text-\)decay
2. \(\gamma\text-\)decay
3. fusion
4. fission
Subtopic:  Types of Decay |
 92%
Level 1: 80%+
AIPMT - 2003
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The mass number of a nucleus is:

1. always less than its atomic number.
2. always more than its atomic number.
3. sometimes equal to its atomic number.
4. sometimes less than and sometimes more than its atomic number.
Subtopic:  Nuclear Binding Energy |
 56%
Level 3: 35%-60%
AIPMT - 2003
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The mass of a proton is \(1.0073\) u and that of a neutron is \(1.0087\) u (u = atomic mass unit). The binding energy of \({}_{2}^{4}\mathrm{He}\) is: (Given: helium nucleus mass ≈ \(4.0015\) u)
1. \(0.0305\) J 2. \(0.0305\) erg
3. \(28.4\) MeV 4. \(0.061\) u
Subtopic:  Nuclear Binding Energy |
 77%
Level 2: 60%+
AIPMT - 2003
Hints

Which of the following rays are not electromagnetic waves?
1. \({X}\text-\)rays
2. \(\gamma\text-\)rays
3. \(\beta\text-\)rays
4. Heat rays
Subtopic:  Types of Decay |
 59%
Level 3: 35%-60%
AIPMT - 2003
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The volume occupied by an atom is greater than the volume of the nucleus by a factor of about:
1. \(10\)
2. \(10^5\)
3. \(10^{10}\)
4. \(10^{15}\)

Subtopic:  Mass-Energy Equivalent |
 65%
Level 2: 60%+
AIPMT - 2003
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