The radius of germanium `(Ge)` nuclide is measured to be twice the radius of `_(4)^(9)Be`. The number of nucleons in `Ge`

Options

A. 72
B. 73
C. 74
D. 75

Answer

A

Explanation

Nuclear radius
`R = R _(0) (A ) 6(1//3),` where `R _(0) ~~ 1.2fm`
`or R prop (A) ^(1//3)`
`(R _(Be ))/( R _(Ge))= ((9) ^(1//3))/((A) ^(1//3)) or , (R _(Be ))/(2 R _(Be))= ((9)^(1//3))/((A) ^(1//3))`
`(because ` Given `R _(Ge = 2 R _(Be))`
or `A =-2 ^(3) x 9=8 = 72`
`because` The number of nucleons in Ge is 72