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

c) 100

Step-by-step 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 * 10^(13)`

Magnitude 4

Has a energy of

`E = 10^(5.24 + 1.44*4) = 10^(11)`

So the earthquake of magnitude 6 is
`(10^(13))/(10^(11)) = 100` times more energetic.

Answer 2

option C

Step-by-step 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.