Practice question

Given: What is the nuclear density of a nucleus with mass 3.34 × 10⁻²⁷ kg and radius 1.91 × 10⁻¹⁵ m ? (Use π = 3.14 ) These values define the system as per NCERT data. Formula: Density = fracmassvolume, Volume = 4/3 π R³. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: R³ = (1.91 × 10⁻¹⁵)³ approx 6.97 × 10⁻⁴⁵ m³ . Volume = 4/3 × 3.14 × 6.97 × 10⁻⁴⁵ approx 2.92 × 10⁻⁴⁴ m³ . Density = frac3.34 × 10⁻²⁷².92 × 10⁻⁴⁴ approx 1.14 × 10¹⁷ kg/m³ . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.