Size of the nucleus: R = R₀A^(1/3)नाभिक का आकार: R = R₀A^(1/3)Size of the nucleus: R = R₀A^(1/3)
NCERT Section 13.3 · Class 12 Physics · Chapter 13 · interactive diagram
Read Chapter 13 with this diagramइस डायग्राम के साथ अध्याय 13 पढ़ेंIs diagram ke saath Ch 13 padhiyeAll Physics diagramsसभी भौतिकी डायग्रामSaare Physics diagrams
Parts and what they mean
- R = R₀A^(1/3) (R = R₀A^(1/3)) — Radius grows only as the cube root of A: 8 times the nucleons → only 2 times the radius. R₀ = 1.2 fm = 1.2 × 10⁻¹⁵ m.
- ⁴He: R ≈ 1.9 fm (⁴He: R ≈ 1.9 fm) — R = 1.2 × 4^(1/3) = 1.9 fm.
- ¹⁶O: R ≈ 3.0 fm (¹⁶O: R ≈ 3.0 fm) — R = 1.2 × 16^(1/3) = 3.0 fm.
- ⁵⁶Fe: R ≈ 4.6 fm (⁵⁶Fe: R ≈ 4.6 fm) — R = 1.2 × 56^(1/3) = 4.6 fm (used in NCERT Example 13.1).
- ²³⁸U: R ≈ 7.4 fm (²³⁸U: R ≈ 7.4 fm) — 238 nucleons but the radius is only about 4 times that of ⁴He (238/4 ≈ 60, and 60^(1/3) ≈ 3.9).
Original diagram drawn by Simple Learning Hub, based on NCERT Section 13.3. Report a mistake