Consider the following two statements, $A$ and $B$ and identify the correct answer given below: A. Nuclear…
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 $\sqrt{A} \propto R^{1 / 6}$.
Both $\mathrm{A}$ and $\mathrm{B}$ are true
Both $\mathrm{A}$ and $\mathrm{B}$ are false
$\mathrm{A}$ is true but $\mathrm{B}$ is false
$\mathrm{A}$ is false but $\mathrm{B}$ is true
Solution
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.