Question

The density of carbon nucleus ${}_{6}^{12}C$is –

• A. 2.4 kg/m³
• B. 2.4 × 10¹⁷ kg/m³
• C. 2.4 × 10¹² kg/m³
• D. 2400 kg/m³

Answer 1

Answer: (B)

2.4 × 10¹⁷ kg/m³

Answer 2

r = = $\frac { 12 \mathrm { amu } \left( 1.66 \times 10 ^ { - 27 } \mathrm {~kg} / \mathrm { amu } \right) } { \frac { 4 } { 3 } \pi \mathrm { R } ^ { 3 } }$

R³ = (R₀A^1/3)³ = $\mathrm { R } _ { 0 } ^ { 3 }$ A = (1.2)³ × (10^–15)³ A

r = $\frac { 12 \mathrm { amu } \left( 1.66 \times 10 ^ { - 27 } \right) } { \frac { 4 } { 3 } \pi \times \left( 1.2 \times 10 ^ { - 15 } \right) ^ { 3 } \times 12 \mathrm { amu } }$ r = 2.4 × 10¹⁷ kg/m³