The amplitude of a sound wave is measured in terms of its maximum gauge pressure. by what factor does the amplitude of a sound wave increase if the sound level goes up by 26.0 db?

The amplitude of wave increases by a factor of 20

Explanation:

The Sound level in decibel β is described as

Where I₀=10⁻¹²W/m² is reference intensity

Suppose β₁ is initial sound intensity and β₂ is final sound intensity.Therefore the change in sound intensity is given as

β₁-β₂=26.0 dB

The intensity of sound is directly proportional to the amplitude of wave squared

So

I∝A²

Therefore the amplitude of wave increases by a factor of 20

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