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  • 13-04-2021
  • Mathematics
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One earthquake has MMS magnitude 3.9. If a second earthquake has 120 times as much energy (earth movement) as the first, find the magnitude of the second quake.

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Cricetus
Cricetus Cricetus
  • 14-04-2021

Answer:

The right answer is "5.9". A further solving is provided below.

Step-by-step explanation:

The given values are:

Initial Magnitude,

M₁ = 3.9

Let Second magnitude be M₂.

Now,

⇒  [tex]M_2-M_1=log(\frac{l_2}{l_1} )[/tex]

On substituting the values, we get

⇒  [tex]M_2-3.9 = log (120)[/tex]

On putting the value of "log 120", we get

⇒  [tex]M_2-3.9=2.079[/tex]

On adding "3.9" both sides, we get

⇒  [tex]M_2-3.9+3.9=2.079+3.9[/tex]

⇒                    [tex]M_2=5.9[/tex]

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