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Q. No.For the given radioactive decay reaction:
\(^{298}_{94}X \rightarrow ^{294}_{92}Y + { ^{4}_{2}\alpha} + Q\text-\text {value}\),
where the binding energy per nucleon of \(X,Y \) and \(\alpha\) are denoted by \(a, b \) and \(c\) respectively.
The expression for the \(Q\)-value is:
1. \((294 b +4c - 298 a)\)
2. \((92 b +2c - 94 a)\)
3. \((294 b +4c + 298 a)\)
4. \((92 b +2c + 94 a)\)
Subtopic: Â Nuclear Binding Energy |
 84%
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Given below are two statements:
| Assertion (A): | Binding energy per nucleon for nuclei (atomic number \(30\) to \(107\)) is independent of atomic number. |
| Reason (R): | Nuclear force is short-range force. |
| 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 Nuclear Binding Energy |
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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 |
 82%
From NCERT
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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%
From NCERT
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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%
From NCERT
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Subtopic: Â Nucleus |
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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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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 |
 72%
From NCERT
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The nucleus of an atom has a radius which is of the order of:
1. \(10^{-9}~\text m\)
2. \(10^{-12}~\text m\)
3. \(10^{-15}~\text m\)
4. \(10^{-18}~\text m\)
1. \(10^{-9}~\text m\)
2. \(10^{-12}~\text m\)
3. \(10^{-15}~\text m\)
4. \(10^{-18}~\text m\)
Subtopic: Â Nucleus |
 83%
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The density \((d)\) of a nucleus varies according to the number of nucleons \((A)\) as:
| 1. | \(d\propto A\) | 2. | \(d\propto\)\(\large\frac{1}{A}\) |
| 3. | \(d\propto A^{1/3}\) | 4. | \(d=\text{constant}\) |
Subtopic: Â Nucleus |
 72%
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