1.

Theunit of length convenient on the nuclear scale is a fermi : 1 f = 10–15 m. Nuclear sizes obey roughly thefollowing empirical relation : whereris the radius of the nucleus, Aits mass number, and r0is a constant equal to about, 1.2f. Show that the rule implies that nuclear mass density is nearlyconstant for different nuclei. Estimate the mass density of sodiumnucleus. Compare it with the average mass density of a sodium atomobtained in Exercise. 2.27.

Answer»

The
unit of length convenient on the nuclear scale is a fermi : 1 f = 10

15
m. Nuclear sizes obey roughly the
following empirical relation :


where
r
is the radius of the nucleus, A
its mass number, and r0

is a constant equal to about, 1.2
f. Show that the rule implies that nuclear mass density is nearly
constant for different nuclei. Estimate the mass density of sodium
nucleus. Compare it with the average mass density of a sodium atom
obtained in Exercise. 2.27.



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