Answer :
The seismic waves in a 7.5 magnitude earthquake are \[\boxed{100}\] times larger than those in a 6.5 magnitude earthquake.
Explanation:
- Earthquake magnitudes are measured on a logarithmic scale. This means that each whole number increase in magnitude represents a tenfold increase in amplitude of the seismic waves and approximately 31.6 times more energy released.
- Therefore, the difference in magnitudes between a 7.5 and a 6.5 earthquake is 1 (7.5 - 6.5 = 1).
- Since each whole number increase represents a tenfold increase, the seismic waves in a 7.5 magnitude earthquake would be 10 times larger than those in a 6.5 magnitude earthquake.
- Therefore, 10 times larger translates to \[10 \times 10 = \boxed{100}\] times larger, indicating that the correct answer is option B.
