ENEM 2024 | In a region with a high incidence of earthquakes
2In a region with a high incidence of earthquakes, it was observed that two earthquakes had magnitudes M₁ and M₂, measured according to the Richter scale, and released energies equal to E₁ and E₂, respectively. Among scholars of the subject, an algebraic expression relating these values is known, given by:
M₂ − M₁ = ( 2/3 ) · log( E₂ / E₁ )
More comprehensive studies observed that the first earthquake had a magnitude of M₁ = 6.9 and the energy released was one tenth of that observed in the second earthquake.
The approximate magnitude M₂ of the second earthquake, expressed to one decimal place, is equal to:
A) 5.4
B) 6.2
C) 7.6
D) 8.2
E) 8.4
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