The neutron was discovered by

$A$ nucleus disintegrates into two smaller parts,which have their velocities in the ratio $3: 2$. The ratio of their nuclear sizes will be $\left(\frac{x}{3}\right)^{\frac{1}{3}}$. The value of '$x$' is:

Estimate the approximate volume of an aluminium nucleus $(A=27)$.
$\text{Use } (R_0 \simeq 1.0 \times 10^{-15} \ m, \pi \simeq 3)$.

The nuclear reaction is represented by $X(n, \alpha) \to _3^7Li$. Which element is $X$?

Two nuclei have their mass numbers in the ratio of $1: 3$. The ratio of their nuclear densities would be

The value of the average density of a nucleus is $\qquad$ times that of water.