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If nucleus and atom are considered as perfect spheres with the diameters m and m, respectively, thenAtomic Structure Chemistry Question

Question

If nucleus and atom are considered as perfect spheres with the diameters $4 \times 10^{-15}$ m and $2 \times 10^{-10}$ m, respectively, then the ratio of the volumes of nucleus and atom should be

Answer: B

💡 Solution & Explanation

The volume of a sphere is $V \propto d^3$. The ratio of volumes is $\frac{V_{nucleus}}{V_{atom}} = \left(\frac{d_{nucleus}}{d_{atom}}\right)^3 = \left(\frac{4 \times 10^{-15}}{2 \times 10^{-10}}\right)^3 = (2 \times 10^{-5})^3 = 8 \times 10^{-15}$. Therefore, correct answer is B.

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