? 發問於 科學及數學數學 · 10 年 前

F4 MATH log

The energy released as seismic waves in an earthquake is 1/8 times that in

another earthquake with a magnitude of 7.2 on the Richter scale.

Find the magnitude of the first earthquake on the Richter scale.

(Give your answer correct to 1 d.p)

(log E = 1.5M + K ,where K is a constant)

ANS:6.6

1 個解答

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  • 10 年 前
    最佳解答

    sub magnitude of 7.2 in to equation log E = 1.5M + K.

    log E = 1.5(7.2) + K ______(1)

    The energy released as seismic waves in an earthquake is 1/8 times

    log(E/8)=1.5M+K

    logE-log8=1.5M+K _______(2)

    sub (1) into (2)

    1.5(7.2) + K-log8=1.5M+K

    10.8-log8=1.5M

    9.90=1.5M

    M=6.6

    資料來源: myself
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