High School

Which nucleus completes the following equation?

\[ \frac{60}{25} \text{Mn} \]

A. \[ \frac{60}{26} \text{Fe} \]

B. \[ \frac{59}{25} \text{Mn} \]

C. \[ \frac{61}{25} \text{Mn} \]

D. \[ \frac{60}{27} \text{Co} \]

Answer :

Final answer:

Correct option: a) 60/26 Fe. The resulting nucleus that completes the equation with 60/25 Mn is 60/26 Fe, due to the conservation of mass and an increase in the atomic number.

Explanation:

The question involves identifying the resulting nucleus in a nuclear reaction. In this case, we're looking to find the nucleus that completes the equation with 60/25 Mn. Nuclear reactions must follow the conservation of mass and atomic numbers. Since the question does not indicate a change in the mass number and only changes the atomic number, we must look for a nucleus with the same mass number, 60, and the atomic number one higher than manganese (Mn, which has an atomic number of 25). Therefore, the correct answer is 60/26 Fe, because iron (Fe) has one more proton than manganese, and the mass number remains the same at 60.