Question

Order of magnitude of density of Uranium nucleous is: $[m_p=1.67\times {10}^{-27}kg]$

• A. ${10}^{20}kg{m}^3$
• B. ${10}^{17}kg{m}^3$
• C. ${10}^{14}kg{m}^3$
• D. ${10}^{11}kg{m}^3$

Answer 1

The correct option is B ${10}^{17}kg{m}^3$

$M=A\times (1.67\times {10}^{-27})$

Here A is mass number $V=\frac{4}{3}\pi r^3$

$=43\times 227\times {\left[\frac{(1.3\times {10}^{-15})A1}{3}\right]}^3$

$=8.2\times {10}^{-45}\times A{m}^3$

$density=\frac{m}{V}$

$=\frac{1.67\times {10}^{-27}\times A}{8.2\times {10}^{-45}\times A}$

$=2.0\times {10}^{17}Kg/m^3$