Estimate the radius of a nucleus with mass $50 \mathrm { u }$. ( $m _ { \text {neutron } } \approx m _ { \text {proton } } = 1.67 \times 10 ^ { - 27 } \mathrm {~kg}$ )
A) about $4.4 \mathrm { fm }$
B) about $3.7 \mathrm { fm }$
C) about $6.2 \mathrm { fm }$
D) about $8.5 \mathrm { fm }$

Question

Quizplus · Accepted Answer

The radius of a nucleus ($R$) can be estimated using the formula $R = R_0 A^{1/3}$, where $R_0$ is a constant approximately equal to $1.2 \, \text{fm}$ and $A$ is the mass number (approximately equal to the mass in atomic mass units for our purposes). For a nucleus with mass $50 \, \mathrm{u}$, $R \approx 1.2 \times 50^{1/3} \approx 4.4 \, \text{fm}$.

Estimate the Radius of a Nucleus with Mass 50u50 \mathrm { u }50u

Estimate the Radius of a Nucleus with Mass $50 \mathrm { u }$