Which of the following values is the correct | vedclass

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(D) Nuclear density is defined as the ratio of the mass of the nucleus to its volume.The mass of a nucleus with mass number $A$ is approximately $M =

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$2 	imes 10^{17} 	ext{ kg m}^{-3}$

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(D) Nuclear density is defined as the ratio of the mass of the nucleus to its volume.The mass of a nucleus with mass number $A$ is approximately $M = A \cdot m$,where $m$ is the average mass of a nucleon $(m \approx 1.67 	imes 10^{-27} 	ext{ kg})$.The radius of a nucleus is given by $R = R_0 A^{1/3}$,where $R_0 \approx 1.2 	imes 10^{-15} 	ext{ m}$.The volume of the nucleus is $V = \frac{4}{3} \pi R^3 = \frac{4}{3} \pi (R_0 A^{1/3})^3 = \frac{4}{3} \pi R_0^3 A$.Nuclear density $ho = \frac{M}{V} = \frac{A \cdot m}{\frac{4}{3} \pi R_0^3 A} = \frac{3m}{4 \pi R_0^3}$.Since $ho$ is independent of the mass number $A$,it is constant for all nuclei.Substituting the values,$ho \approx 2.3 	imes 10^{17} 	ext{ kg m}^{-3}$ to $3.0 	imes 10^{17} 	ext{ kg m}^{-3}$.Thus,the correct order of magnitude is $10^{17} 	ext{ kg m}^{-3}$.

Which of the following values is the correct order of nuclear density?

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