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The statement an earthquake of magnitude 7 releases about twice the energy of one of magnitude 6 is

  • A.true, but only for shallow earthquakes
  • B.false, because the ratio is about 32
  • C.true, and follows from the logarithmic scale
  • D.false, because the ratio is about 10

Answer: B

Correct answer: false, because the ratio is about 32

Energy scales as \( 10^{1.5} \) per magnitude unit, giving a factor of about 32 rather than 2. The error usually comes from treating the logarithmic scale as if one unit meant a doubling. Even the factor of ten, which is the amplitude ratio, would understate the energy difference by a factor of three.

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