Q. No.1. \(2X\)
2. \(\frac{X}{3}\)
3. \(4X\)
4. \(X\)
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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. \(V\propto M\)
2. \(V\propto \frac{1}{M}\)
3. \(V\propto M^3\)
4. \(V\propto \frac{1}{M^3}\)
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Two nuclei have their mass numbers in the ratio of \(1:3.\) The ratio of their nuclear densities would be:
1. \(1:3\)
2. \(3:1\)
3. \((3)^{1/3}:1\)
4. \(1:1\)
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1. \(N^3\)
2. \(N^1\)
3. \(N^0\)
4. \(N^{-1}\)
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1. \(5\rho_0\)
2. \(3\rho_0\)
3. \(\frac{5}{3}\rho_0\)
4. \(\rho_0\)
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1. \(\mathrm{Li}^7\)
2. \(\mathrm{Na}^{21}\)
3. \(\mathrm{S}^{16}\)
4. \(\mathrm{Ca}^{40}\)
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Consider the following statements:
| (I) | All isotopes of elements have the same number of neutrons. |
| (II) | Only one isotope of an element can be stable and non-radioactive. |
| (III) | All elements have isotopes. |
| (IV) | All isotopes of carbon can form chemical compounds with oxygen\(\text-16\). |
The correct option regarding an isotope is:
| 1. | (III) and (IV) only |
| 2. | (II), (III), and (IV) only |
| 3. | (I), (II), and (III) only |
| 4. | (I), (III), and (IV) only |
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| Assertion (A): | Isotopes of an element can be separated by using a mass spectrometer. |
| Reason (R): | Separation of isotopes is possible because of the difference in electron numbers of isotopes. |
| 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. \(1.6\times 10^{-19}~\text{J}\)
2. \(6.02\times 10^{23}~\text{J}\)
3. \(931~\text{MeV}\)
4. \(9.31~\text{MeV}\)
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