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Show that nuclear density is almost cons...

Show that nuclear density is almost constant for nuclei with `Zgt10`.

Text Solution

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Nuclear density, `rho =("mass of the nuclei")/("Volume of the nuclei") = (A.m)/(4/3 pi R_(0)^(3)A) = m/(4/3 pi R_(0)^(3))`
`rho =(1.67 xx 10^(-27))/(4/3 pi xx (1.2 xx 10^(-15))^(3)) = 2.3 xx 10^(17) kg m^(-3)`.
The expression shows that the nuclear density is independent of the mass number A. In other words, all the nuclei `(Z gt 10)` have th3e same density and it is an important characteristics of the nuclei.
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