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The relation between the nuclear radius (R) and the mass number (A), given by R = 1.2 A1/3 fm, implies that
- a)The central density of nuclei is independent of A
- b)The volume energy per nucleon is a constant
- c)The attractive part of the nuclear force has a long range
- d)The nuclear force is charge dependent
Correct answer is option 'A,B'. Can you explain this answer?
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The relation between the nuclear radius (R) and the mass number (A), g...
Relation between Nuclear Radius and Mass Number
The relation between the nuclear radius (R) and the mass number (A) is given by R = 1.2 A1/3 fm.
Explanation
The nuclear radius (R) is directly proportional to the cube root of the mass number (A). This means that as the mass number increases, the nuclear radius also increases. The factor of 1.2 is a constant that takes into account the average density of nuclear matter.
Implications
The relation between the nuclear radius and mass number has important implications for nuclear physics, including:
A) Central Density of Nuclei
The relation implies that the central density of nuclei is independent of the mass number. This means that the density of nuclear matter is roughly constant across all nuclei, regardless of their size or number of nucleons.
B) Volume Energy per Nucleon
The relation also implies that the volume energy per nucleon is a constant. This means that the energy required to separate nucleons from the nucleus is roughly the same for all nuclei.
C) Attractive Part of Nuclear Force
The relation does not imply that the attractive part of the nuclear force has a long range. In fact, the nuclear force is known to have a short range, on the order of a few femtometers.
D) Charge Dependence of Nuclear Force
The relation does not imply that the nuclear force is charge dependent. However, the nuclear force is known to have a strong dependence on the spin and isospin of the nucleons involved.
Conclusion
In summary, the relation between the nuclear radius and mass number has important implications for nuclear physics, including the independent central density of nuclei and constant volume energy per nucleon. However, the relation does not imply that the nuclear force has a long range or is charge dependent.
The relation between the nuclear radius (R) and the mass number (A) is given by R = 1.2 A1/3 fm.
Explanation
The nuclear radius (R) is directly proportional to the cube root of the mass number (A). This means that as the mass number increases, the nuclear radius also increases. The factor of 1.2 is a constant that takes into account the average density of nuclear matter.
Implications
The relation between the nuclear radius and mass number has important implications for nuclear physics, including:
A) Central Density of Nuclei
The relation implies that the central density of nuclei is independent of the mass number. This means that the density of nuclear matter is roughly constant across all nuclei, regardless of their size or number of nucleons.
B) Volume Energy per Nucleon
The relation also implies that the volume energy per nucleon is a constant. This means that the energy required to separate nucleons from the nucleus is roughly the same for all nuclei.
C) Attractive Part of Nuclear Force
The relation does not imply that the attractive part of the nuclear force has a long range. In fact, the nuclear force is known to have a short range, on the order of a few femtometers.
D) Charge Dependence of Nuclear Force
The relation does not imply that the nuclear force is charge dependent. However, the nuclear force is known to have a strong dependence on the spin and isospin of the nucleons involved.
Conclusion
In summary, the relation between the nuclear radius and mass number has important implications for nuclear physics, including the independent central density of nuclei and constant volume energy per nucleon. However, the relation does not imply that the nuclear force has a long range or is charge dependent.
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Community Answer
The relation between the nuclear radius (R) and the mass number (A), g...
(a) density independent of A
(b) volume proportional to no.of nucleons
(c) attractive part of the nuclear force is a short range
(d) nuclear force is charge independent
(b) volume proportional to no.of nucleons
(c) attractive part of the nuclear force is a short range
(d) nuclear force is charge independent
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The relation between the nuclear radius (R) and the mass number (A), given by R = 1.2 A1/3 fm, implies thata)The central density of nuclei is independent of Ab)The volume energy per nucleon is a constantc)The attractive part of the nuclear force has a long ranged)The nuclear force is charge dependentCorrect answer is option 'A,B'. Can you explain this answer?
Question Description
The relation between the nuclear radius (R) and the mass number (A), given by R = 1.2 A1/3 fm, implies thata)The central density of nuclei is independent of Ab)The volume energy per nucleon is a constantc)The attractive part of the nuclear force has a long ranged)The nuclear force is charge dependentCorrect answer is option 'A,B'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The relation between the nuclear radius (R) and the mass number (A), given by R = 1.2 A1/3 fm, implies thata)The central density of nuclei is independent of Ab)The volume energy per nucleon is a constantc)The attractive part of the nuclear force has a long ranged)The nuclear force is charge dependentCorrect answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The relation between the nuclear radius (R) and the mass number (A), given by R = 1.2 A1/3 fm, implies thata)The central density of nuclei is independent of Ab)The volume energy per nucleon is a constantc)The attractive part of the nuclear force has a long ranged)The nuclear force is charge dependentCorrect answer is option 'A,B'. Can you explain this answer?.
The relation between the nuclear radius (R) and the mass number (A), given by R = 1.2 A1/3 fm, implies thata)The central density of nuclei is independent of Ab)The volume energy per nucleon is a constantc)The attractive part of the nuclear force has a long ranged)The nuclear force is charge dependentCorrect answer is option 'A,B'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The relation between the nuclear radius (R) and the mass number (A), given by R = 1.2 A1/3 fm, implies thata)The central density of nuclei is independent of Ab)The volume energy per nucleon is a constantc)The attractive part of the nuclear force has a long ranged)The nuclear force is charge dependentCorrect answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The relation between the nuclear radius (R) and the mass number (A), given by R = 1.2 A1/3 fm, implies thata)The central density of nuclei is independent of Ab)The volume energy per nucleon is a constantc)The attractive part of the nuclear force has a long ranged)The nuclear force is charge dependentCorrect answer is option 'A,B'. Can you explain this answer?.
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