Question

The dependence of density (d) of nuclear matter on the mass number A is

• A. d $\alpha$ A
• B. d $\alpha \sqrt{A}$
• C. d = const.
• D. d $\alpha$ 1/A

Answer 1

The correct option is C d = const.

$\because$ Radius $\alpha$ (mass number)${}^{1/3}$

So, $\rho =\frac{M}{V}=\frac{A}{\frac{4}{3}\pi {\left(K{A}^{1/3}\right)}^3}=\frac{3A}{4\pi K^{3}A}\rho =\frac{3}{4\pi K^3}=constant$