Q. No.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
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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. | \(r_{_X}^3=r^3_{_Y}+r^3_{_Z}\) |
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1. Number of neutrons
2. Number of protons
3. Number of electrons
4. All of the above
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1. \(N+P\)
2. \((N+P)^{1/3}\)
3. \((N+P)^{2/3}\)
4. \((N+P)^{-1/3}\)
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| 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 |
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| 1. | mass number |
| 2. | proton number |
| 3. | neutron number |
| 4. | density of the nucleus |
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| 1. | kinetic energy | 2. | mass |
| 3. | momentum | 4. | all the above |
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1. an electron
2. a positron
3. a photon
4. a neutron
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| 1. | \(Z\text-6,A\text -14\) |
| 2. | \(Z\text-4,A\text-10\) |
| 3. | \(Z\text-4,A\text -12\) |
| 4. | \(Z\text -2,A\text -10\) |
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1. undergo \(\alpha\text-\)decay
2. undergo \(\beta\text-\)decay
3. emit \(\gamma\text-\)radiation
4. emit protons
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