Question
One historic earthquake had a magnitude of 8.8 on the Richter scale. How many times more...
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
Homework Answers
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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