Assume that the nuclear binding energy per nucleon $(B/A)$ versus mass number $(A)$ is as shown in the figure. Use this plot to choose the correct choice $(s)$ given below
$(A)$ Fusion of two nuclei with mass numbers lying in the range of $1 < A < 50$ will release energy
$(B)$ Fusion of two nuclei with mass numbers lying in the range of $51 < A < 100$ will release energy
$(C)$ Fission of a nucleus lying in the mass range of $100 < A < 200$ will release energy when broken into two equal fragments
$(D)$ Fission of a nucleus lying in the mass range of $200 < A < 260$ will release energy when broken into two equal fragments
$A$ and $B$
$A$ and $D$
$B$ and $D$
$C$ and $D$
A nucleus represented by the symbol ${ }_{Z}^{ A } X$ has
Antiparticle of electron is
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 :
Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$
Assertion $A:$ The binding energy per nucleon is practically independent of the atomic number for nuclei of mass number in the range $30$ to $170$.
Reason $R$ : Nuclear force is short ranged.
In the light of the above statements, choose the correct answer from the options given below on
Show that the volume of nucleus is proportional to its atomic mass number.