Question

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

Answer 1

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.                          

Answer 2

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.