Q. No.Subtopic: Â Nucleus |
Level 4: Below 35%
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 |
 66%
Level 2: 60%+
Hints
The nuclear radius of which of the following nuclei is approximately twice that of deuterium \((_1\mathrm{H}^2)\)?
| 1. | \(_2\mathrm{He}^4\) | 2. | \(_3\mathrm{Li}^8\) |
| 3. | \(_4\mathrm{Be}^8\) | 4. | \(_8\mathrm{O}^{16}\) |
Subtopic: Â Nucleus |
Level 3: 35%-60%
Hints
A nuclear reaction occurs where a nucleus \(X\) breaks up into two separated nuclei \(Y\) and \(Z\text:~~~~X\longrightarrow Y+Z \)
Let, the nuclear radii of \(X,Y,Z\) be \(r_{_X},r_{_Y},r_{_Z}.\) Then, which of the following, is (nearly) correct?
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. | \(r_{_X}^3=r^3_{_Y}+r^3_{_Z}\) |
Subtopic: Â Nucleus |
 68%
Level 2: 60%+
Hints
The density \((d)\) of a nucleus varies according to the number of nucleons \((A)\) as:
1. \(d\propto A\)
2. \(d\propto\dfrac{1}{A}\)
3. \(d\propto A^{1/3}\)
4. \(d=\text{constant}\)
1. \(d\propto A\)
2. \(d\propto\dfrac{1}{A}\)
3. \(d\propto A^{1/3}\)
4. \(d=\text{constant}\)
Subtopic: Â Nucleus |
 73%
Level 2: 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
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%
Level 1: 80%+
Hints
The nuclear radius of a nucleus having \(N\) neutrons and \(P\) protons is proportional to:
1. \(N+P\)
2. \((N+P)^{1/3}\)
3. \((N+P)^{2/3}\)
4. \((N+P)^{-1/3}\)
1. \(N+P\)
2. \((N+P)^{1/3}\)
3. \((N+P)^{2/3}\)
4. \((N+P)^{-1/3}\)
Subtopic: Â Nucleus |
 87%
Level 1: 80%+
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
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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 |
Subtopic: Â Nucleus |
 61%
Level 2: 60%+
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