The nuclear radius is given by R = r 0 A 1 / 3 , where r 0 is constant and A is the atomic mass number. Then, the nuclear mass density of U 238 is

Step-by-step solution

Given, nuclear radius is R = r 0 A 1 3 Here, atomic mass number of nucleus = A ∴ Nuclear density d is given by d =  Mass number   Volume  ⇒    d = A 4 3 π R 3 = A 4 3 π r 0 A 1 3 3 ⇒    d = A 4 3 π r 0 3 · A = 3 4 π r 0 3 As r 0 = a constant, so nuclear density is a constant quantity. ∴ Nuclear mass density of U 238 is same as that of Sn 119