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26 November, 09:04

In a discussion person A is talking 1.2 dB louder than person B, and person C is talking 3.2 dB louder than person A. What is the ratio of the sound intensity of person C to the sound intensity of person B?

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  1. 26 November, 10:14
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    Answer: 3.84dB

    Explanation:

    Since person A is talking 1.2dB louder than B, we will have

    A = 1.2B ... (1)

    Similarly, person C is talking 3.2 dB louder than person A, we have

    C = 3.2A ... (2)

    From equation 1, B = A/1.2 ... (3)

    To get the ratio of the sound intensity of person C to the sound intensity of person B, we will divide equation 2 by 3 to give

    C/B = 3.2A/{A/1.2}

    C/B = 3.2A*1.2/A

    C/B = 3.2*1.2

    C/B = 3.84dB
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