Final answer:
The second nucleus is two orders of magnitude larger than the first nucleus, determined by subtracting the exponents in their sizes (10^-11 cm vs 10^-13 cm).
Step-by-step explanation:
The student is asking about the difference in size between two atomic nuclei in terms of orders of magnitude. When comparing the size of nuclei, we can use the concept of orders of magnitude to describe how much larger or smaller one is relative to another. The first nucleus is given as 10-13 centimeters across, and the second is 10-11 centimeters across.
To determine how many orders of magnitude greater the second nucleus is, we subtract the exponents of 10 for each size:
- First nucleus: 10-13 cm
- Second nucleus: 10-11 cm
- Difference in orders of magnitude: -11 - (-13) = 2
Therefore, the second nucleus is two orders of magnitude larger than the first nucleus.