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Q. No. Atomic number increases in:
1.
\(\alpha\text-\)decay.
2.
\(\beta^{-}\text-\)decay.
3.
\(\beta^{+}\text{-}\)decay.
4.
\(K\text{-}\)electron capture.
Subtopic: Â Types of Decay |
 81%
Level 1: 80%+
Hints
Which force is responsible for holding two protons together with the same strength as it holds two neutrons together inside a nucleus?
| 1. | Electric force | 2. | Weak nuclear force |
| 3. | Strong nuclear force | 4. | Gravitational force |
Subtopic: Â Nuclear Binding Energy |
 84%
Level 1: 80%+
Hints
The strong nuclear force between two nucleons:
| 1. | is only attractive force. |
| 2. | is only repulsive force. |
| 3. | maybe attractive or repulsive in nature depending on the distance. |
| 4. | is a central force. |
Subtopic: Â Nuclear Binding Energy |
 59%
Level 3: 35%-60%
Hints
The nuclear radius of a \({ }_{3}^{8} \mathrm{L i}\) nucleus is \(2.2~\text{fm}\). The nuclear radius of \({ }_{30}^{64} \mathrm{Zn}\) is nearly:
1. \(4.4~\text{fm}\)
2. \(7~\text{fm}\)
3. \(22~\text{fm}\)
4. \(17.6~\text{fm}\)
1. \(4.4~\text{fm}\)
2. \(7~\text{fm}\)
3. \(22~\text{fm}\)
4. \(17.6~\text{fm}\)
Subtopic: Â Nucleus |
 86%
Level 1: 80%+
Hints
Let the average nuclear force exerted by a proton on a proton be \(\mathrm{F_{pp}},\) by a proton on a neutron be \(\mathrm{F_{pn}}\) and by a neutron on a neutron be \(\mathrm{F_{nn}}.\) When their separations are nearly \(1~\text{fm},\) then:
1. \( \mathrm{F}_{\mathrm{pp}}<\mathrm{F}_{\mathrm{pn}}<\mathrm{F}_{\mathrm{nn}} \)
2. \( \mathrm{F}_{\mathrm{pn}}>\mathrm{F}_{\mathrm{pp}}>\mathrm{F}_{\mathrm{nn}} \)
3. \( \mathrm{F}_{\mathrm{pp}}>\mathrm{F}_{\mathrm{pn}}>\mathrm{F}_{\mathrm{nn}} \)
4. \(\mathrm{F}_{\mathrm{pp}}=\mathrm{F}_{\mathrm{pn}}=\mathrm{F}_{\mathrm{nn}}\)
1. \( \mathrm{F}_{\mathrm{pp}}<\mathrm{F}_{\mathrm{pn}}<\mathrm{F}_{\mathrm{nn}} \)
2. \( \mathrm{F}_{\mathrm{pn}}>\mathrm{F}_{\mathrm{pp}}>\mathrm{F}_{\mathrm{nn}} \)
3. \( \mathrm{F}_{\mathrm{pp}}>\mathrm{F}_{\mathrm{pn}}>\mathrm{F}_{\mathrm{nn}} \)
4. \(\mathrm{F}_{\mathrm{pp}}=\mathrm{F}_{\mathrm{pn}}=\mathrm{F}_{\mathrm{nn}}\)
Subtopic: Â Nuclear Binding Energy |
 75%
Level 2: 60%+
Hints
A radioactive nucleus undergoes a cascade decay (i.e. two decays, one followed by another):
\(A\rightarrow B\rightarrow C\)
If each of the decays can be either \(\alpha\) or \(\beta^-\), then which of the following values of \(Z_C\) is possible? (\(Z_C\) & \(Z_A\) are the atomic numbers of \(C\) & \(A\).)
1. \(Z_A+2\)
2. \(Z_A-1\)
3. \(Z_A-4\)
4. Any of the above
\(A\rightarrow B\rightarrow C\)
If each of the decays can be either \(\alpha\) or \(\beta^-\), then which of the following values of \(Z_C\) is possible? (\(Z_C\) & \(Z_A\) are the atomic numbers of \(C\) & \(A\).)
1. \(Z_A+2\)
2. \(Z_A-1\)
3. \(Z_A-4\)
4. Any of the above
Subtopic: Â Types of Decay |
 57%
Level 3: 35%-60%
Hints
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 |
 81%
Level 1: 80%+
Hints
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 |
 67%
Level 2: 60%+
Hints
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 |
 53%
Level 3: 35%-60%
Hints
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. \(N^{-1}\)
1. \(N^3\)
2. \(N^1\)
3. \(N^0\)
4. \(N^{-1}\)
Subtopic: Â Nucleus |
 83%
Level 1: 80%+
Hints
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