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Q. No.The radius of a nucleus \((r)\) is directly proportional to the cube-root of the number of nucleons \((N).\) Assume that the mass of a nucleon is fixed \((m_n).\) The density \((\rho)\) of a nucleus varies as:
1. \(N^3\)
2. \(N^1\)
3. \(N^0\)
4. \(N^{-1}\)
Subtopic: Nucleus |
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Subtopic: Nucleus |
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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 |
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NEET - 2022
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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. \(_{10}^{22}\textrm{Ne}\)
\({ }_{11}^{22} \mathrm{Na} \rightarrow \mathrm{X}+\mathrm{e}^{+}+\nu\)
1. \({ }_{12}^{22} \mathrm{Mg}\)
2. \({ }_{11}^{23} \mathrm{Na}\)
3. \({ }_{10}^{23} \mathrm{Ne}\)
4. \(_{10}^{22}\textrm{Ne}\)
Subtopic: Types of Decay |
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NEET - 2022
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In an exoergic nuclear reaction (i.e. energy is released in the reaction), let
\(E_1:\) total binding energy of initial nuclei
\(E_2:\) total binding energy of final nuclei
\(A_1:\) total number of nucleons of initial nuclei
\(A_2:\) total number of nucleons of final nuclei
Then:
1. \(E_1>E_2\)
2. \(E_2>E_1\)
3. \(E_1=E_2\)
4. \(\frac{E_1}{A_1}=\frac{E_2}{A_2}\)
\(E_1:\) total binding energy of initial nuclei
\(E_2:\) total binding energy of final nuclei
\(A_1:\) total number of nucleons of initial nuclei
\(A_2:\) total number of nucleons of final nuclei
Then:
1. \(E_1>E_2\)
2. \(E_2>E_1\)
3. \(E_1=E_2\)
4. \(\frac{E_1}{A_1}=\frac{E_2}{A_2}\)
Subtopic: Nuclear Binding Energy |
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Given below are two statements:
| Assertion (A): | The density of nucleus is much higher than that of ordinary matter. |
| Reason (R): | Most of the mass of the atom is concentrated in the nucleus while the size of this nucleus is almost \(10^5\) times smaller. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Nucleus |
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Antineutrinos are emitted during:
1. \(\alpha\)-decay
2. \(\beta\)-decay
3. \(\gamma\)-decay
4. neutron emission
1. \(\alpha\)-decay
2. \(\beta\)-decay
3. \(\gamma\)-decay
4. neutron emission
Subtopic: Types of Decay |
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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 |
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NEET - 2013
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Atomic number increases in:
| 1. | \(\alpha\text-\)decay. |
| 2. | \(\beta^{-}\text-\)decay. |
| 3. | \(\beta^{+}\text{-}\)decay. |
| 4. | \(K\text{-}\)electron capture. |
Subtopic: Types of Decay |
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For nuclei with \(A>100,\)
| a. | the binding energy of the nucleus decreases on an average as \(A\) increases. |
| b. | the binding energy per nucleon decreases on an average as \(A\) increases. |
| c. | if the nucleus breaks into two roughly equal parts, energy is released. |
| d. | if two nuclei fuse to form a bigger nucleus, energy is released. |
Choose the correct option
1. (a), (b)
2. (b), (c)
3. (c), (d)
4. (a), (d)
Subtopic: Nuclear Binding Energy |
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