1.

From the relation R = R_(0)A^(1/3), where R_(0) is a constant and A is the mass number of a nucleus, show that the nuclear matter density is nearly constant (i.e., independent of A).

Answer»

Solution :LET us have a nuclide `" "_(Z)^(A)X`.
`therefore` Density of nuclide `RHO= M/V =(Au)/(4/3piR^(3))= (Au)/(4/3piR_(0)^(3)A) =(3u)/(4piR_(0)^(3))`
Since `u (= 1.66 xx 10^(-27)` kg) and Ro(= 1.2 fm) are both constants, hence nuclear density too is a constant and independent of MASS number .A..


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