What are the sound intensity levels for sound waves of intensity (a) 3.0 × 10 − 6 W / m 2 and (b) 3.0 × 10 − 2 W / m 2 ?

Question

What are the sound intensity levels for sound waves of intensity (a)   3.0  ×      10          −      6        W      /        m          2       and (b)   3.0  ×      10          −      2        W      /        m          2      ?

Paityn Arroyo · Accepted Answer

The decibel scale:  β  =  (  10  d  B  )  log  ⁡      I          I              0              β  ⇒ sound intensity level,   I  ⇒ intensity of sound wave,      I          0        =      10          −      12        W      /        m          2        ⇒ the reference intensity.a)   β  =  (  10  d  b  )  log  ⁡      I          I              0              =  (  10  d  B  )  log  ⁡            3      ×              10                  −          6                    W              /                    m                  2                                    10                  −          12                    W              /                    m                  2                      =  65  d  Bb)   β  =  (  10  d  B  )  log  ⁡      I          I              0              =  (  10  d  B  )  log  ⁡            3      ×              10                  −          2                    W              /                    m                  2                            10              −        12        W                  /                          m                      2                                =  105  d  BResult:a) 65dBb) 105dB

What are the sound intensity levels for sound waves of intensity (a) 3.010^(−6)W/m^2 and (b) 3.010^(−2)W/m^2 ?

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