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natali 33 [55]
4 years ago
10

C 1 ) An earthquake of magnitude 6, when compared to an earthquake of magnitude 4, is how many times more energetic? a) 10 b) 30

c) 100 d) 900
Geography
2 answers:
valentinak56 [21]4 years ago
6 0

Answer:

option C

Explanation:

The correct answer is option C                            

Earthquake with magnitude 6 is considered as moderate magnitude of earthquake.

Earthquake with magnitude 4 is considered as low magnitude earthquake.

Difference between the magnitude of the earth quake is 6 - 4 = 2

the difference in the magnitude is 2                    

The earthquake of magnitude 6  is 100 times more stronger than the earthquake of magnitude 4.                          

Zepler [3.9K]4 years ago
4 0

Answer:

c) 100

Explanation:

The energy of an earthquake is giben by the following formula:

\log{E} = 5.24 + 1.44M

In which log is the logarithm operation and M is the magnitude.

We can isolate E elevating both sides to 10, which leaves us with 10^{\log{E}} = E on the left side. This is a logarithm property So:

E = 10^{5.24 + 1.44M}

Magnitude 6

Has a energy of

E = 10^{5.24 + 1.44*6} = 7.59 \times 10^{13}

Magnitude 4

Has a energy of

E = 10^{5.24 + 1.44*4} = 10^{11}

So the earthquake of magnitude 6 is \frac{10^{13}}{10^{11}} = 100 times more energetic.

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