Consider the following two statements,A and B | 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 $R \propto A^{1/3}$ or $A \propto R^3$.The statement $B$ claims $\sqrt{A} \propto R^{1/6}$,which implies $A \propto (R^{1/6})^2 = R^{1/3}$. This contradicts the known relation $A \propto R^3$. Therefore,statement $B$ 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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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 $\sqrt{A} \propto R^{1 / 6}$.