Consider the following two statements, A and | vedclass

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(C) The nuclear density is independent of the mass number and is approximately constant for all nuclei, given by $ho \approx 2.3 	imes 10^{17} \ kg

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$A$ is true but $B$ is false

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(C) The nuclear density is independent of the mass number and is approximately constant for all nuclei, given by $ho \approx 2.3 	imes 10^{17} \ kg/m^3$. Thus, statement $A$ is true.The relationship between the radius of the nucleus $R$ and the mass number $A$ is given by $R = R_0 A^{1/3}$, where $R_0$ is a constant. This implies $R^3 \propto A$, or $R \propto A^{1/3}$.Given statement $B$ is $\sqrt{A} \propto R^{1/6}$. Squaring both sides gives $A \propto R^{1/3}$, which contradicts the established relation $R \propto A^{1/3}$ (or $A \propto R^3$). Therefore, statement $B$ is false.Hence, $A$ is true and $B$ is false.

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 $\sqrt{A} \propto R^{1 / 6}$.

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The radius $R$ of a nucleus of mass number $A$ can be estimated by the formula $R = (1.3 \times 10^{-15}) A^{1/3} \; m$. It follows that the mass density of a nucleus is of the order of $(M_{\text{prot}} \cong M_{\text{neut}} = 1.67 \times 10^{-27} \; kg)$.

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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 $\sqrt{A} \propto R^{1 / 6}$.