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 $A$ and $B$ are true
  • B
    Both $A$ and $B$ are false
  • C
    $A$ is true but $B$ is false
  • D
    $A$ is false but $B$ is true

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$(A)$ Volume of the nucleus is directly proportional to the mass number.
$(B)$ Volume of the nucleus is independent of mass number.
$(C)$ Density of the nucleus is directly proportional to the mass number.
$(D)$ Density of the nucleus is directly proportional to the cube root of the mass number.
$(E)$ Density of the nucleus is independent of the mass number.
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The mass density of a nucleus varies with mass number $A$ as

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