The formula to calculate the nuclear radius is:
\[ R = r_0 \times A^{\frac{1}{3}} \]
Where:
The nuclear radius is the approximate radius of an atomic nucleus. It can be estimated using an empirical formula that relates the radius to the mass number of the nucleus. The formula assumes that the nucleus can be approximated as a sphere and that the volume of the nucleus is proportional to the number of nucleons (protons and neutrons) it contains. This concept is important in nuclear physics and helps in understanding the structure and stability of atoms.
Let's assume the following value:
Step 1: Calculate the cube root of the mass number:
\[ A^{\frac{1}{3}} = 27^{\frac{1}{3}} \approx 3 \]
Step 2: Multiply the result by the radius constant (r0):
\[ R = 1.2 \times 3 = 3.6 \text{ fm} \]
The Nuclear Radius (R) is approximately 3.6 femtometers.