A sound wave of amplitude 0.2mm has an intensity of 3W/m(squared). what will be the intensity of sound of same frequency having amplitude 0.4mm?

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Alannah Yang · Accepted Answer

Intensity is directly proportional to the square of the amplitude, i.e.  I  ∝      A          2      or        frac{I_{1}}{I_{2}}=frac{A_{1}^{2}}{A_{2}^{2}}frac{I_{1}}{I_{2}}=frac{A_{1}^{2}}{A_{2}^{2}}Show External URL Show Embeded Code Hide MathML CodeI1I2=A21A22            I              1                    I              2              =            A              1                    2                    A              2                    2            where:I is the intensity of the waveA is the amplitude of the waveSo, we get:            3      W              /                    m                  2                            I              2              =            (      0.2      m      m              )                  2                            (      0.4      m      m              )                  2                      =            0.04      m              m                  2                            0.16      m              m                  2                      =      1    4    ∴      I          2        =      4    1    ∗  3  W      /        m          2        =  12  W      /        m          2

A sound wave of amplitude 0.2mm has an intensity of 3W/m(squared). what will be the intensity of sound of same frequency having amplitude 0.4mm?

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