Question

Given the nuclear radius of ¹⁶O is 3.024 fm, find that of ²³⁵U.

Answer 1

Data: A₁ = 16 and R₁ = 3.024 fm (for ¹⁶O), A₂ = 235 (for ²³⁵U)

R = `R_0A^(1/3)`

∴ `R_2/R_1 = (A_2/A_1)^(1/3)`

∴ The nuclear radius of ²³⁵U,

`R_2 = (235/16)^(1/3) xx 3.024`

= 2.449 × 3.024

= 7.406 fm