The desity of a nucleus in which mass of each nucleon is `1.67xx10^(-27)kg` and `R_(0)=1.4xx10^(-15)m` is

Options

A. `1.453 xx 10 ^(7) kg//m^(3)`
B. `1.453 xx 10 ^(16) kg//m^(3)`
C. `1.453 xx 10 ^(21) kg //m^(3)`
D. `1.453 xx 10 ^(21) kg//m^(3)`

Answer

A

Explanation

`D = (Am)/((4)/(3) pi R ^(3)) = (3 Am )/( 4pi (R_(0) A ^((1)/(3)))^(3))= (3 Am )/( 4 pi R _(0) ^(3) A)= (3m)/( 4 pi R _(0)^(3))`