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Consider the following statements:

  1. The Richter scale is logarithmic and an increase of one unit represents a tenfold increase in amplitude.
  2. Each successive integer on the Richter scale represents about 100 times more energy release.
Which of the statements given above is/are correct?
  1. 1 only
  2. 2 only
  3. Both 1 and 2
  4. Neither 1 nor 2

Explanation

Statement 1 is correct
  • The Richter (local) magnitude scale is logarithmic, and each increase of one whole number represents a tenfold increase in the amplitude of seismic waves recorded on a seismogram.
Statement 2 is incorrect
  • The energy released does not increase by 100 times for each unit increase in magnitude. Instead, a one-unit rise corresponds to roughly a 32-fold increase in seismic energy. The common misconception arises from confusing amplitude, which increases tenfold, with energy, which increases by about thirty-two times per magnitude step.
Answer: (a) 1 only
,