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katen-ka-za [31]
3 years ago
9

One earthquake has MMS magnitude 3.9. If a second earthquake has 120 times as much energy (earth movement) as the first, find th

e magnitude of the second quake.
Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

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,

⇒  M_2-M_1=log(\frac{l_2}{l_1} )

On substituting the values, we get

⇒  M_2-3.9 = log (120)

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

⇒  M_2-3.9=2.079

On adding "3.9" both sides, we get

⇒  M_2-3.9+3.9=2.079+3.9

⇒                    M_2=5.9

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