AP EAMCET · PHYSICS · Nuclear Physics
Consider the following two statements, \(A\) and \(B\) and identify the correct answer given below:
A. Nuclear density is same for all nuclei
B. Radius of the nucleus \(R\) and its mass number \(A\) are related as \(\sqrt{A} \propto R^{1 / 6}\).
- A Both \(\mathrm{A}\) and \(\mathrm{B}\) are true
- B Both \(\mathrm{A}\) and \(\mathrm{B}\) are false
- C \(\mathrm{A}\) is true but \(\mathrm{B}\) is false
- D \(\mathrm{A}\) is false but \(\mathrm{B}\) is true
Answer & Solution
Correct Answer
(C) \(\mathrm{A}\) is true but \(\mathrm{B}\) is false
Step-by-step Solution
Detailed explanation
Nuclear density for all nuclei is same and equal to \(10^{17} \mathrm{~kg} / \mathrm{m}^3\) Radius of nucleus and mass number are related as \(R=R_0(A)^{1 / 3} \text { or } R \propto(A)^{1 / 3}\) Thus, (A) is true and (B) is false.
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