Practice question

Given: What is the nuclear density of a nucleus with mass 2.33 × 10⁻²⁷kg and radius 1.7 × 10⁻¹⁵m ? (Use π = 3.14 ) These values define the system as per NCERT data. Formula: Density = fracmassvolume, Volume = 4/3 π R³. This is standard NCERT relation. Substitution & Calculation: R³ = (1.7 × 10⁻¹⁵)³ = 4.913 × 10⁻⁴⁵m³ . Volume = 4/3 × 3.14 × 4.913 × 10⁻⁴⁵approx 2.06 × 10⁻⁴⁴m³ . Density = frac2.33 × 10⁻²⁷².06 × 10⁻⁴⁴approx 1.13 × 10¹⁷kg/m³ . Result: The computed value matches expected outcome and confirms correct choice as per NCERT.