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Q. No.The mass numbers of two nuclei, \(\mathrm{A}\) and \(\mathrm{B},\) are \(27\) and \(64,\) respectively. The ratio of their radii is:
1. \(3:4\)
2. \(5:8\)
3. \(2:1\)
4. \(1:2\)
1. \(3:4\)
2. \(5:8\)
3. \(2:1\)
4. \(1:2\)
Subtopic: Nucleus |
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If the nuclear radius of \(^{27}\text{Al}\) is \(3.6\) Fermi, the approximate nuclear radius of \(^{64}\text{Cu}\) in Fermi is:
1. \(2.4\)
2. \(1.2\)
3. \(4.8\)
4. \(3.6\)
Subtopic: Nucleus |
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AIPMT - 2012
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Which of the following pairs of nuclei are isotones?
| 1. | \({ }_6^{16} \mathrm{ C} ~\text{and }~{ }_7^{16}\mathrm{N}\) | 2. | \({ }_7^{16}\mathrm{N} \text { and }{ }_8^{16}\mathrm{O}\) |
| 3. | \({ }_8^{16} \mathrm{O} \text { and }{ }_7^{14}\mathrm{N}\) | 4. | \({ }_6^{14} \mathrm{C} \text { and }{ }_7^{15} \mathrm{N}\) |
Subtopic: Nucleus |
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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: Nucleus |
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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: Nucleus |
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The radius of a nucleus is given by \(R=R_0 A^{1/3},\) where \(R_0=1.2 \times 10^{-15}~\text{m}.\) What is the ratio of the volume to the surface area of an \(\mathrm{Al}^{27}\) nucleus?
1. \(2.1 \times 10^{-15}~ \text {m} \)
2. \(1.3 \times 10^{-15}~ \text{m} \)
3. \(0.22 \times 10^{-15} ~\text{m} \)
4. \(1.2 \times 10^{-15} ~\text{ m} \)
1. \(2.1 \times 10^{-15}~ \text {m} \)
2. \(1.3 \times 10^{-15}~ \text{m} \)
3. \(0.22 \times 10^{-15} ~\text{m} \)
4. \(1.2 \times 10^{-15} ~\text{ m} \)
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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JEE
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Expression for the average radius of a nucleus and hence the radius of a given hypothetical nucleus \(^{64}_{27}\mathrm{X}\) will respectively be:
[given that \(R_0=1.1~\text{fm}\) ]
1. \(R=R_0A^{\frac{1}{2}},\) \(8.8 ~\text{fm}\)
2. \(R=R_0A^{\frac{1}{3}},\) \(4.4~\text{fm}\)
3. \(R=R_0A^{\frac{1}{3}},\) \(3.3~\text{fm}\)
4. \(R=R_0A^{\frac{1}{6}},\) \(2.2~\text{fm}\)
[given that \(R_0=1.1~\text{fm}\) ]
1. \(R=R_0A^{\frac{1}{2}},\) \(8.8 ~\text{fm}\)
2. \(R=R_0A^{\frac{1}{3}},\) \(4.4~\text{fm}\)
3. \(R=R_0A^{\frac{1}{3}},\) \(3.3~\text{fm}\)
4. \(R=R_0A^{\frac{1}{6}},\) \(2.2~\text{fm}\)
Subtopic: Nucleus |
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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: Nucleus |
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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. \(1:1\)
Subtopic: Nucleus |
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