The density (in kg m^{-3}) of nuclear matter | vedclass

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(B) The radius of a nucleus with mass number $A$ is given by $R = R_0 A^{1/3}$, where $R_0 \approx 1.2  fm = 1.2 	imes 10^{-15}  m$.The volume of the

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$10^{17}$

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(B) The radius of a nucleus with mass number $A$ is given by $R = R_0 A^{1/3}$, where $R_0 \approx 1.2  fm = 1.2 	imes 10^{-15}  m$.The volume of the nucleus is $V = \frac{4}{3} \pi R^3 = \frac{4}{3} \pi (R_0 A^{1/3})^3 = \frac{4}{3} \pi R_0^3 A$.The mass of the nucleus is approximately $M = A 	imes m_p$, where $m_p \approx 1.67 	imes 10^{-27}  kg$ is the mass of a proton.The density $ho$ is given by $ho = \frac{M}{V} = \frac{A 	imes m_p}{\frac{4}{3} \pi R_0^3 A} = \frac{m_p}{\frac{4}{3} \pi R_0^3}$.Substituting the values: $ho = \frac{1.67 	imes 10^{-27}}{\frac{4}{3} 	imes 3.14 	imes (1.2 	imes 10^{-15})^3} \approx 2.3 	imes 10^{17}  kg  m^{-3}$.Thus, the order of magnitude is $10^{17}  kg  m^{-3}$.

The density (in $kg m^{-3}$) of nuclear matter is of the order of

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