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(B) The density of a nucleus is given by the formula $\rho = \frac{M}{V}$,where $M$ is the mass and $V$ is the volume.The mass of a nucleus is approxi

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$1:1$

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(B) The density of a nucleus is given by the formula $ho = \frac{M}{V}$,where $M$ is the mass and $V$ is the volume.The mass of a nucleus is approximately $A 	imes m_p$ (where $A$ is the mass number and $m_p$ is the mass of a proton).The volume of a nucleus is given by $V = \frac{4}{3} \pi R^3$,where $R = R_0 A^{1/3}$.Substituting $R$,we get $V = \frac{4}{3} \pi R_0^3 A$.Thus,the density $ho = \frac{A 	imes m_p}{\frac{4}{3} \pi R_0^3 A} = \frac{3 m_p}{4 \pi R_0^3}$.Since $ho$ is independent of the mass number $A$,the ratio of the densities of any two nuclei is always $1:1$.

Two nuclei have their mass numbers in the ratio of $1:3$. The ratio of their densities would be

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