Q. No.In an exoergic nuclear reaction (i.e. energy is released in the reaction), let
1.
\(E_1\): total binding energy of initial nuclei
2.
\(E_2\): total binding energy of final nuclei
3.
\(A_1\): total number of nucleons of initial nuclei
4.
\(A_2\): total number of nucleons of final nuclei
Then:
1. \(E_1>E_2\)
2. \(E_2>E_1\)
3. \(E_1=E_2\)
4. \(\dfrac{E_1}{A_1}=\dfrac{E_2}{A_2}\)
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1. \(N^3\)
2. \(N^1\)
3. \(N^0\)
4. \(N^{-1}\)
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| 1. | (a) in both cases I and II. |
| 2. | (a) in case I and (b) in case II. |
| 3. | (a) in case II and (b) in case I. |
| 4. | (b) in both cases I and II. |
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1. neutron beam
2. \(\beta\)-rays
3. \(\gamma \)-rays
4. infra-red light
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| A. | Volume of the nucleus is directly proportional to the mass number. |
| B. | Volume of the nucleus is independent of mass number. |
| C. | Density of the nucleus is directly proportional to the mass number. |
| D. | Density of the nucleus is directly proportional to the cube root of the mass number. |
| E. | Density of the nucleus is independent of the mass number. |
| 1. | (A) and (D) only. |
| 2. | (A) and (E) only. |
| 3. | (B) and (E) only. |
| 4. | (A) and (C) only. |
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The four graphs show different possible relationships between \(\text{ln}\left(\dfrac{{R}}{{R}_0}\right)\) and \(\text{ln}(A).\)
(where \(R\) is the radius of a nucleus and \(A \) is the mass number of the nucleus)
Which of these graphs (1, 2, 3, or 4) correctly represents the relationship between these nuclear parameters?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
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(the velocity of light \(c=3\times10^8~\text{m/s}\) )
1. \(1.8\times 10^9 ~\text J\)
2. \(1.8\times 10^{14} ~\text J\)
3. \(1.8\times 10^{-15} ~\text J\)
4. \(1.8\times 10^{17} ~\text J\)
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| Assertion (A): | The density of the 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. |
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1. \(\alpha\)-decay
2. \(\beta\)-decay
3. \(\gamma\)-decay
4. neutron emission
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