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The radius R of a nucleus of mass number A can be estimated by the formula R=(1.3×10⁻¹⁵)A^1/3 m. It follows that the mass density of a nucleus is of the order of (Mₚᵣₒₜ Mₙₑᵤₜ≃1.67×10⁻²⁷ kg)

Asked in JEE Main 3rd Sept 2nd Shift 2020 · Nuclear radius and density

Answer: (4) 10¹⁷ kg m⁻³

Step-by-step solution

ρ=(3m)/(4π R₀³)=(3×1.67×10⁻²⁷)/(4π×(1.3×10⁻¹⁵)³)

ρ≈1.8×10¹⁷ kg m⁻³

Why the other options are wrong

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