Final Answer:
Each whole number increase on the Richter scale represents a tenfold increase in amplitude of seismic waves and roughly 31.6 times more energy released.
Step-by-step explanation:
The Richter scale quantifies the magnitude of earthquakes, measuring the amplitude of seismic waves. As the magnitude increases by one whole number, the amplitude of the waves grows ten times larger. This is crucial because the energy released in an earthquake is proportional to the amplitude of the seismic waves.
When the Richter scale goes up by one unit, the energy released is not just ten times more but approximately 31.6 times more. This is due to the fact that the energy released is related to the square of the amplitude increase. Mathematically, it follows a logarithmic scale rather than a linear one.
To put it simply, a magnitude 6 earthquake releases about 31.6 times more energy than a magnitude 5 earthquake, and a magnitude 7 earthquake releases about 31.6 times more energy than a magnitude 6 earthquake, and so on.
This logarithmic relationship is critical for understanding the seismic impact of earthquakes. It helps us grasp the escalating destructive potential associated with higher magnitude events.