Question

An $O^{16}$ nucleus is spherical and has a radius $R$ and a volume $V=\frac{4}{3}\pi R^3$. According to the empirical observations, the volume of the ${}_{54}{X}^{128}$ nucleus assumed to be spherical is $V^{\prime }$ and radius is $R^{\prime }$. Then

• A. $V^{\prime }=8V$
• B. $V^{\prime }=2V$
• C. $R^{\prime }=2R$
• D. $R^{\prime }=8R$

Answer 1

Answer: (A), (C)

The correct options are
A $V^{\prime }=8V$
C $R^{\prime }=2R$

$R=R_o{A}^{1/3}$
$A=$ mass no
$\frac{R}{R^{\prime }}={\frac{16}{128}}^{1/3}$
$R^{\prime }=2R$
$Volume\propto R^3$
Hence, $V^{\prime }=8V$