Q. No.
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| 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. |
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| 1. | \(_2\mathrm{He}^4\) | 2. | \(_3\mathrm{Li}^8\) |
| 3. | \(_4\mathrm{Be}^8\) | 4. | \(_8\mathrm{O}^{16}\) |
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Let, the nuclear radii of \(X,Y,Z\) be \(r_{_X},r_{_Y},r_{_Z}.\) Then, which of the following, is (nearly) correct?
| 1. | \(r_{_X}=r_{_Y}+r_{_Z}\) | 2. | \(\Large\frac{1}{r_{_X}}=\frac{1}{r_{_Y}}+\frac{1}{r_{_Z}}\) |
| 3. | \(r_{_X}=|r_{_Y}-r_{_Z}|\) | 4. | \(r_{_X}^3=r^3_{_Y}+r^3_{_Z}\) |
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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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1. \(N^3\)
2. \(N^1\)
3. \(N^0\)
4. \(N^{-1}\)
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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. \(N+P\)
2. \((N+P)^{1/3}\)
3. \((N+P)^{2/3}\)
4. \((N+P)^{-1/3}\)
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1. \(4.4~\text{fm}\)
2. \(7~\text{fm}\)
3. \(22~\text{fm}\)
4. \(17.6~\text{fm}\)
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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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