If the Richter scale is altered so that it compares energy released instead of intensity, the definition of the scale becomes M2 - M1 = LOG31 (E2 / E1). a) If the magnitude of an earthquake is increased by 1 on the scale, by what factor is the energy released multiplied? b) What is the magnitude of an earthquake that releases 200 times the energy of an earthquake with magnitude 4.5? c) How many times greater is the energy released from an earthquake with magnitude 9.0 than that of an earthquake with magnitude 6.5?

If the Richter scale is altered so that it compares energy released instead of intensity, the definition of the scale becomes M2 - M1 = LOG31 (E2 / E1). a) If the magnitude of an earthquake is increased by 1 on the scale, by what factor is the energy released multiplied? b) What is the magnitude of an earthquake that releases 200 times the energy of an earthquake with magnitude 4.5? c) How many times greater is the energy released from an earthquake with magnitude 9.0 than that of an earthquake with magnitude 6.5?

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Question

If the Richter scale is altered so that it compares energy released instead of intensity, the definition of the scale becomes M₂ - M₁ = LOG₃₁(E₂ / E₁).

a) If the magnitude of an earthquake is increased by 1 on the scale, by what factor is the energy released multiplied?

b) What is the magnitude of an earthquake that releases 200 times the energy of an earthquake with magnitude 4.5?

c) How many times greater is the energy released from an earthquake with magnitude 9.0 than that of an earthquake with magnitude 6.5?

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