Q. No.Which of the following pair of nuclei are isobars of the element?
1. \({ }_1^2 \mathrm{H} \text { and }{ }_1^3 \mathrm{H}\)
2. \({ }_{92}^{236} \mathrm{U} \text { and }{ }_{92}^{238} \mathrm{U}\)
3. \({ }_{80}^{198} \mathrm{Hg} \text { and }{ }_{79}^{197} \mathrm{Au}\)
4. \({ }_1^3 \mathrm{H} \text { and }{ }_2^3 \mathrm{He}\)
1. \({ }_1^2 \mathrm{H} \text { and }{ }_1^3 \mathrm{H}\)
2. \({ }_{92}^{236} \mathrm{U} \text { and }{ }_{92}^{238} \mathrm{U}\)
3. \({ }_{80}^{198} \mathrm{Hg} \text { and }{ }_{79}^{197} \mathrm{Au}\)
4. \({ }_1^3 \mathrm{H} \text { and }{ }_2^3 \mathrm{He}\)
Subtopic: Nucleus |
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Level 2: 60%+
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An atom \({ }_3^8 X\) is bombarded by shower of fundamental particles and in \(10~\text{s}\) this atom absorbed \(10\) electrons, \(10\) protons and \(9\) neutrons. The percentage growth in the surface area of the nucleons is recorded by:
1. \(250\%\)
2. \(150\%\)
3. \(125\%\)
4. \(900\%\)
1. \(250\%\)
2. \(150\%\)
3. \(125\%\)
4. \(900\%\)
Subtopic: Nucleus |
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Level 2: 60%+
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A nucleus has mass number \(\alpha\) and radius \(R_\alpha\). Another nucleus has mass number \(\beta\) and radius \(R_\beta\). If \(\beta = 8 \alpha \) then \(\dfrac{R_\alpha}{ R_\beta}\) is:
1. \(2\)
2. \(8\)
3. \(1\)
4. \(0.5\)
1. \(2\)
2. \(8\)
3. \(1\)
4. \(0.5\)
Subtopic: Nucleus |
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For a nucleus of mass number \(A\) and radius \(R,\) the mass density of nucleus can be represented as:
1. \(A^3\)
2. \(A^{1/3} \)
3. \(A^{2/3} \)
4. Independent of \(A\)
1. \(A^3\)
2. \(A^{1/3} \)
3. \(A^{2/3} \)
4. Independent of \(A\)
Subtopic: Nucleus |
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Level 1: 80%+
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Given below are two statements:
Choose the most appropriate answer from the options given below:
| Assertion (A): | The density of the copper \(( _{29} ^{64}\mathrm{Cu})\) nucleus is greater than that of the carbon \(( _{6} ^{12}\mathrm{𝐂})\) nucleus. |
| Reason (R): | The nucleus of mass number \(A\) has a radius proportional to \(A^{1/3}\) |
| 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. | (A) is False but (R) is True. |
Subtopic: Nucleus |
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Level 1: 80%+
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A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of \(2:1\). After disintegration they will move:
1. in opposite directions with the same speed
2. in opposite directions with the speed in the ratio of \(1:2\) respectively.
3. in opposite directions with the speed in the ratio of \(2:1\) respectively.
4. in the same direction with same speed.
Subtopic: Nucleus |
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The nuclear mass and size of the nucleus of an element \(A\) are \(64\) and \(4.8\) fermi. If the size of the nucleus of the element \(B\) is \(4\) fermi then its nuclear mass is:
1. \(\dfrac{1000}{27}\)
2. \(\dfrac{1000}{30}\)
3. \(\dfrac{1000}{18}\)
4. \(\dfrac{1000}{36}\)
1. \(\dfrac{1000}{27}\)
2. \(\dfrac{1000}{30}\)
3. \(\dfrac{1000}{18}\)
4. \(\dfrac{1000}{36}\)
Subtopic: Nucleus |
Level 4: Below 35%
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The mass number of a nucleus having a radius is equal to half of the radius of the nucleus with a mass number of 192 is:
1. \(24\)
2. \(22\)
3. \(48\)
4. \(44\)
1. \(24\)
2. \(22\)
3. \(48\)
4. \(44\)
Subtopic: Nucleus |
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If a nucleus is divided in the ratio of \(1:2^{1/3},\) what is the ratio of the velocities of the resulting parts?
| 1. | \(2\) | 2. | \(2^{1/3}\) |
| 3. | \(2^{2/3}\) | 4. | \(2^{(-1/3)}\) |
Subtopic: Nucleus |
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Let nuclear densities of \({}_{2}^{4}{\mathrm{He}}\) and \({}_{20}^{40}{\mathrm{Ca}}\) be \(\rho_1\) and \(\rho_2\) respectively. Then \({{\rho_{1}}\over{\rho_{2}}}\) is equal to:
1. \(1:10\)
2. \(10:1\)
3. \(1:1\)
4. \(1:2\)
1. \(1:10\)
2. \(10:1\)
3. \(1:1\)
4. \(1:2\)
Subtopic: Nucleus |
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Level 1: 80%+
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