If the density of a certain spherical atomic nucleus is 1.0 × 10¹⁴ g cm⁻³ and its mass is 2.0 × 10⁻²³ g, what is its radius in cm? A)3.6 × 10 ⁻¹³ cm B)2.0 × 10 ⁻³⁷ cm C)4.8 × 10 ⁻³⁸ cm D)2.2 × 10 ⁻¹⁹ cm E)None of these choices are correct.

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Quizplus · Accepted Answer

The correct answer is A because the density of a sphere is given by the equation:ρ = 3M / (4πr^3)where ρ is the density, M is the mass, and r is the radius. Solving for r, we get:r = (3M / (4πρ))^(1/3)Plugging in the given values, we get:r = (3 * 2.0 × 10^-23 g / (4π * 1.0 × 10^14 g cm^-3))^(1/3)= 3.6 × 10^-13 cm

If the Density of a Certain Spherical Atomic Nucleus Is