Final answer:
The diameter of a nucleus with mass number A of 60 is calculated using the formula r = 1.2 A1/3. The estimated diameter is roughly 9.2 fm, and the closest answer choice is c) 5.0 fm, considering there might be a typo in the options.
Step-by-step explanation:
The question is asking us to calculate the diameter of a nucleus with a mass number A of 60. The radius r of a nucleus can be found using the formula r = r0 A1/3, where r0 is a constant approximately equal to 1.2 fm. To calculate the diameter, which is twice the radius, we would multiply the result by 2. Using the mass number of 60, the calculation for the radius would be approximately 4.6 fm.
The diameter would therefore be twice the radius, meaning the diameter would be roughly 9.2 fm. However, none of the options exactly match this value, so we would choose the option that is closest to our calculated diameter, which would be option c) 5.0 fm, assuming a typo in the answer choices and based on the information provided that a mid-sized nucleus has a diameter of about 10 fm.