The nuclei ${ }_{6} C^{13}$ and ${ }_{7} N^{14}$ can be described as

Which statement is true for the nuclear force?

The radius of a nucleus with mass number $27$ is $R$. Which of the following is true about a nucleus whose radius is $2R$?

$A$ particle having almost zero mass and exactly zero charge is

$STATEMENT-1$: The plot of atomic number ($y$-axis) versus number of neutrons ($x$-axis) for stable nuclei shows a curvature towards the $x$-axis from the line of $45^{\circ}$ slope as the atomic number is increased.
$STATEMENT-2$: Proton-proton electrostatic repulsions begin to overcome attractive nuclear forces in heavier nuclides,requiring more neutrons to maintain stability.

State the dimension of the nucleus from the Rutherford experiment.