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

Answer

72

Explanation

Nuclear radius, R = `R_(0) (A)^(1//3)`
or `R prop (A)^(1//3)`
`(R_(Be))/(R_(Ge)) = ((9)^(1//3))/((A)^(1//3))` or `(R_(Be))/(2R_(Be))= ((9)^(1//3))/((A)^(1//3))`
(` because ` Given `R_(Ge) = 2R_(Be)`)
or `(A)^(1//3) = 2 xx (9)^(1//3)`
or `A = 2^(3) xx 9 = 8 xx 9 = 72 `
`:.` The number of nucleons in Ge is 72.