Question

One historic earthquake had a magnitude of 8.8 on the Richter
scale. How many times more intense was this than another historic
earthquake that had a magnitude of 8.2? (Round your answer to two
decimal places.)

_______times

Answer #1

M1 = log (I1 / Io)

=> 8.8 = log (I1 / Io)

=> I1 / Io =

=> I1 = Io

M2 = log (I2 / Io)

=> 8.2 = log (I2 / Io)

=> I2 / Io =

=> I2 = Io

Therefore,

I1 / I2 = Io / Io

=> I1 / I2 =

=> I1 = I2

=> I1 = 3.98I2

Therefore,

Answer: 3.98 times

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