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Practice question

Question

What is the nuclear density of a nucleus with mass 1.66 × 10⁻²⁷kg and radius 1.5 × 10⁻¹⁵m ? (Use π = 3.14 )

Options

Choose one · Correct answer highlighted

Explanation

Given: What is the nuclear density of a nucleus with mass 1.66 × 10⁻²⁷kg and radius 1.5 × 10⁻¹⁵m ? (Use π = 3.14 ) Formula: Density = fracmassvolume, Volume = 4/3 π R³. Substitution & Calculation: R³ = (1.5 × 10⁻¹⁵)³ = 3.375 × 10⁻⁴⁵m³ . Volume = 4/3 × 3.14 × 3.375 × 10⁻⁴⁵approx 1.41 × 10⁻⁴⁴m³ . Density = frac1.66 × 10⁻²⁷¹.41 × 10⁻⁴⁴approx 1.18 × 10¹⁷kg/m³ . Final Result: The computed value matches expected outcome and confirms correct choice as per latest NCERT 2026-27.

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