363861 The radius of 29Cu64 nucleus in Fermi is (given R0=1.2×10−15m)
Nuclear radius R=R0A1/3Where R0(=1.2×10−15m) is a constant and A is the mass numberRCu=(1.2×10−15m)(64)1/3=(1.2×10−15m)(43)1/3=4.8×10−15m=4.8fm(∵1fm=10−15m=1Fermi)
363862 The density of a nucleus in which mass of each nucleon is 1.67×1027kg and isR0=1.4×10−15m.
d=Am43πR3=3Am4π(R0A13)=3Am4πR03A=3m4πR03.Where R0=1.4×10−15m and m is the mass of nucleon which is 1.67×1027kg=d=1.453×1017kg/m3
363863 The graph of ln (R/R0) versus ln A (R= radius) of nucleus (A is atomic number).
R=R0A1/3RR0=A1/3⇒lnRR0=13lnAThe graph between ln(RR0) and lnA is a straight line.
363864 A nucleus x235 splits into two nuclei having the mass numbers in the ratio 2:1. The ratio of the radii of those two nuclei is
R∝A1/3⇒R1R2=(21)1/3=21/3:1