Two well–known nuclei are and Using and :

PHYSICS · Subjective · CBSE · Physics · Nuclei · Nuclei

Problem

Two well–known nuclei are 16 ⁣O^{16}\!\text{O} and 238 ⁣U.^{238}\!\text{U}. Using R0=1.2×10−15 mR_0=1.2\times10^{-15}\,\text{m} and 1 u=1.66×10−27 kg1\,\text{u}=1.66\times10^{-27}\,\text{kg}: (a) Calculate the nuclear radius of each nucleus. (b) Determine the volume and mass of each nucleus. (c) Compute the density of each nucleus and evaluate the ratio ρ238 ⁣U/ρ16 ⁣O.\rho_{^{238}\!\text{U}}/\rho_{^{16}\!\text{O}}. (d) Comment on your numerical results with reference to the concept of constant nuclear density.

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