Discovering the Nuclear Radius of Oxygen-14

How can we determine the nuclear radius of Oxygen-14?

1. 7.37

2. 2.89

3. 0

4. 4.3

5. 39

6. 5.98

The nuclear radius of Oxygen-14 is approximately 2.89 femtometers (fm)

To determine the nuclear radius of Oxygen-14, we can use the formula R = RO × A^(1/3), where R is the nuclear radius, RO is a constant (1.2 fm), and A is the mass number of the isotope. For Oxygen-14, the mass number A is 14.

By substituting the values into the formula, we get R = 1.2 × 14^(1/3) fm. Calculating this expression gives us R ≈ 2.89 fm. Therefore, the nuclear radius of Oxygen-14 is approximately 2.89 femtometers.

This calculation assumes that the nucleus is a sphere with uniform mass distribution and constant density, providing us with a reasonable estimate of the nuclear radius.