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TS 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 \(\sqrt{A} \propto R^{1 / 6}\).

  1. A Both \(\mathrm{A}\) and \(\mathrm{B}\) are true
  2. B Both \(\mathrm{A}\) and \(\mathrm{B}\) are false
  3. C \(\mathrm{A}\) is true but \(\mathrm{B}\) is false
  4. D \(\mathrm{A}\) is false but \(\mathrm{B}\) is true
Verified Solution

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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