Question

If the distance between nuclei is $2\times {10}^{-13}$, the density of nuclear material is:

(mass of neuclei = ${10}^{-27}$)

• A. $3.21\times {10}^{-12}kg/m^3$
• B. $1.6\times {10}^{-3}kg/m^3$
• C. $2\times {10}^{9}kg/m^3$
• D. $1\times {10}^{17}kg/m^3$

Answer 1

The correct option is D $1\times {10}^{17}kg/m^3$

Density of nuclear material $=\frac{mass}{volume}$

$\frac{{10}^{-27}}{\frac{4}{3}\pi r^3}=\frac{3\times {10}^{-27}}{4\pi {(2\times {10}^{-15})}^3}={10}^{17}kg/m^3$