The ratio of the nuclear densities of two nuclei having mass numbers 64 and 125 is ______.

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KollegeApply · Accepted Answer

The ratio of the nuclear densities of two nuclei having mass numbers 64 and 125 is 1. Explanation: Given, A1 = 64, A2 = 125 R = R_0A^{1"/"3} Density = `"Atomic Mass"/"Volume" = A/($\frac{4}{3}$piR^3) = A/($\frac{4}{3}$piR^3) = A/($\frac{4}{3}$pi(R_0A^{1"/"3})^3) = A/($\frac{4}{3}$piR_0^3A) rho = 1/($\frac{4}{3}$piR_0^3) rho_1/rho_2 = ($\frac{4}{3}$piR_0^3)/($\frac{4}{3}$piR_0^3) = 1` It is independent of mass number.

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