Q. No.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.
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\(^{298}_{94}X \rightarrow ^{294}_{92}Y + { ^{4}_{2}\alpha} + Q\text-\text {value}\),
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. \((92 b +2c + 94 a)\)
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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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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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| 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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1. neutron beam
2. \(\beta\)-rays
3. \(\gamma \)-rays
4. infra-red light
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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. \(10^{-9}~\text m\)
2. \(10^{-12}~\text m\)
3. \(10^{-15}~\text m\)
4. \(10^{-18}~\text m\)
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| 1. | \(d\propto A\) | 2. | \(d\propto\)\(\large\frac{1}{A}\) |
| 3. | \(d\propto A^{1/3}\) | 4. | \(d=\text{constant}\) |
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