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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: Â Nucleus |
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Originally radioactive beta decay was thought of as a decay of a nucleus with the emission of electrons only (Case I). However, in addition to the electron, another (nearly) massless and electrically neutral particle is also emitted (Case II). Based on the figure below, which of the following is correct?
| 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. |
Subtopic: Â Types of Decay |
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Of the radiations/particle beams mentioned below, which one causes maximum ionisation when passing through matter?
1. neutron beam
2. \(\beta\)-rays
3. \(\gamma \)-rays
4. infra-red light
1. neutron beam
2. \(\beta\)-rays
3. \(\gamma \)-rays
4. infra-red light
Subtopic: Â Types of Decay |
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Subtopic: Â Nucleus |
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Read the following statements:
Choose the correct option from the following options.
| 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. |
Subtopic: Â Nucleus |
 85%
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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. |  |
Subtopic: Â Nucleus |
 77%
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The energy equivalent of \(2~\text g\) of substance is:
(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. \(1.8\times 10^{17} ~\text J\)
(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. \(1.8\times 10^{17} ~\text J\)
Subtopic: Â Mass-Energy Equivalent |
 83%
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In an exoergic nuclear reaction (i.e. energy is released in the reaction), let
Then:
1. \(E_1>E_2\)
2. \(E_2>E_1\)
3. \(E_1=E_2\)
4. \(\dfrac{E_1}{A_1}=\dfrac{E_2}{A_2}\)
| 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 |
1. \(E_1>E_2\)
2. \(E_2>E_1\)
3. \(E_1=E_2\)
4. \(\dfrac{E_1}{A_1}=\dfrac{E_2}{A_2}\)
Subtopic: Â Nuclear Binding Energy |
 52%
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Given below are two statements:
| 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. |
Subtopic: Â Nucleus |
 66%
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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: Â Types of Decay |
 82%
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