Relationship Between Distance and Intensity (HSC SSCE Physics): Flashcards

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Relationship Between Distance and Intensity
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Sound intensity definition

Sound energy passing through unit area per second

Unit of sound intensity

Wm2\text{W} \cdot \text{m}^{-2} (watts per square metre)

Inverse square law for sound

I1d2I \propto \frac{1}{d^2}

Intensity when distance doubles

One-quarter of original intensity

Intensity when distance triples

One-ninth of original intensity

Formula comparing intensities at two distances

I1I2=(d2d1)2\frac{I_1}{I_2} = \left(\frac{d_2}{d_1}\right)^2

Type of scale used for decibels

Logarithmic scale

Threshold of hearing in Wm2\text{W} \cdot \text{m}^{-2}

1012 Wm210^{-12} \text{ W} \cdot \text{m}^{-2} or 0 dB

Effect of 10 dB increase on intensity

Tenfold (10 times) increase in intensity

Formula to convert dB to Wm2\text{W} \cdot \text{m}^{-2}

I=10(dB1012)I = 10^{\left(\frac{\text{dB}}{10} - 12\right)}

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