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Q. No.A nucleus \((X)\) undergoes several decays, one after the other, emitting \(3\alpha\)-particles and \(2\beta\)-particles. The atomic number and mass number of \(X\) are \(Z\) and \(A.\) The atomic number and mass number of the final daughter nucleus are:
1.
\(Z\text-6,A\text -14\)
2.
\(Z\text-4,A\text-10\)
3.
\(Z\text-4,A\text -12\)
4.
\(Z\text -2,A\text -10\)
Subtopic: Â Types of Decay |
 73%
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Unstable nuclei with a large number of neutrons compared to protons i.e., those having a high \(\dfrac np\) ratio tend to:
1. undergo \(\alpha\text-\)decay
2. undergo \(\beta\text-\)decay
3. emit \(\gamma\text-\)radiation
4. emit protons
1. undergo \(\alpha\text-\)decay
2. undergo \(\beta\text-\)decay
3. emit \(\gamma\text-\)radiation
4. emit protons
Subtopic: Â Types of Decay |
 74%
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After a \(\beta\)-decay, the nucleus is frequently left in an energetically excited state and it returns to the ground state. In the process, it emits:
1. an electron
2. a positron
3. a photon
4. a neutron
1. an electron
2. a positron
3. a photon
4. a neutron
Subtopic: Â Types of Decay |
 65%
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A nuclear reaction occurring in the sun leading to the production of energy is being represented as: \(4~^1_1\mathrm{H}~\longrightarrow~^4_2\mathrm{He}+\text{energy},\) with the symbols representing nuclei. What is the primary objection to this reaction?
| 1. | Non-conservation of mass |
| 2. | Non-conservation of charge |
| 3. | Repulsion between protons |
| 4. | Larger size of \(\mathrm{He}\text-\)nucleus compared to the proton |
Subtopic: Â Nuclear Energy |
 61%
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In a nuclear reaction, which of the following, is not necessarily conserved?
1. Number of neutrons
2. Number of protons
3. Number of electrons
4. All of the above
1. Number of neutrons
2. Number of protons
3. Number of electrons
4. All of the above
Subtopic: Â Types of Decay |
 56%
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A nuclear reaction occurs where a nucleus \(X\) breaks up into two separated nuclei \(Y\) and \(Z\text:~~~~X\longrightarrow Y+Z\)
Let, the nuclear radii of \(X,Y,Z\) be \(r_{_X},r_{_Y},r_{_Z}.\) Then, which of the following, is (nearly) correct?
Let, the nuclear radii of \(X,Y,Z\) be \(r_{_X},r_{_Y},r_{_Z}.\) Then, which of the following, is (nearly) correct?
| 1. | \(r_{_X}=r_{_Y}+r_{_Z}\) | 2. | \(\Large\frac{1}{r_{_X}}=\frac{1}{r_{_Y}}+\frac{1}{r_{_Z}}\) |
| 3. | \(r_{_X}=|r_{_Y}-r_{_Z}|\) | 4. | \(r_{_X}^3=r^3_{_Y}+r^3_{_Z}\) |
Subtopic: Â Nucleus |
 68%
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In which of the following cases will the final nucleus be an isotope of the parent?
| 1. | \(1~\alpha\)-decay followed by \(1~\beta\)-decay |
| 2. | \(1~\beta\)-decay followed by \(2~\alpha\)-decays |
| 3. | \(1~\alpha\)-decay followed by \(2~\beta\)-decays |
| 4. | none of the above |
Subtopic: Â Types of Decay |
 77%
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The nuclear radius of a nucleus having \(N\) neutrons and \(P\) protons is proportional to:
1. \(N+P\)
2. \((N+P)^{1/3}\)
3. \((N+P)^{2/3}\)
4. \((N+P)^{-1/3}\)
1. \(N+P\)
2. \((N+P)^{1/3}\)
3. \((N+P)^{2/3}\)
4. \((N+P)^{-1/3}\)
Subtopic: Â Nucleus |
 86%
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When a nucleus undergoes \(\beta\)-decay, the quantity that increases is:
| 1. | mass number |
| 2. | proton number |
| 3. | neutron number |
| 4. | density of the nucleus |
Subtopic: Â Types of Decay |
 73%
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In a nuclear reaction the following quantities is/are conserved:
| 1. | kinetic energy | 2. | mass |
| 3. | momentum | 4. | all the above |
Subtopic: Â Mass-Energy Equivalent |
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