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.