The order of magnitude of density of urnaitum nucleus is:
`(m_("nucleus") = 1.67xx10^(-27)kg)`

Options

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

`(b)`

Explanation

`m = A xx (1.67xx10^(-274))kg` (`A` is mass number)
`V = (4)/(3) pi r^(3)`
`= (4)/(3)pi [{1.3xx10^(-15)}A^(1//3)]^(3)`
`= 8.2xx10^(-45) xx Am^(3)`
`:. "Density = (m)/(V) = (1.67xx10^(-27)xx A)/(8.2xx10^(-45) xx A)`
`= 2.0xx10^(17)kg//m^(3)`