Like many other scales in science, Richter scale is not linear This means that an earthquake of magnitude 6 - Science - Some Natural Phenomena

Question

Like many other scales in science, Richter scale is not linear This
means that an earthquake of magnitude 6 does not have one and half
times the destructive energy of an earthquake of magnitude 4 In
fact, an increase of 2 in magnitude means 1000 times more
destructive energy Therefore, an earthquake of magnitude 6 has
thousand times more destructive energy than an earthquake of
magnitude 4
Using Mathematics, how can you compare, the reading on the Richter
scale and the destructive energy produced by an earthquake? Support
your answer with explanation

Akansha Tyagi · Accepted Answer

Richter Scale is Base 10-Logrithmic scale
Formula  ML=log10A-log10A0(δ)where A is maximum excursion of seismograph and A0 is emprical function depends on distanceEnergy releases of an Earthquake is 3/2 power of shaking amplitude
So with difference of 1 energy release is 31
6(101
0)3/2,similarly difference in magnitude of 2=1000(102)3/2