Physics

Problem

(a) Starting from the empirical relation for nuclear radius, derive an expression for the average nuclear density in terms of fundamental constants only. (b) Show explicitly that this density is independent of the mass number

A

. (c) Using

m_p=1.67262\times10^{-27}\,\text{kg}

m_n=1.67493\times10^{-27}\,\text{kg}

and

R_0=1.2\times10^{-15}\,\text{m}

, calculate the numerical value of the nuclear density in kg\,m

^{-3}

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